
Time bar (total: 6.7s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-cos: 209.0ms (26.6% of total)ival-sin: 196.0ms (25% of total)ival-mult: 166.0ms (21.1% of total)ival-add: 73.0ms (9.3% of total)ival-div: 59.0ms (7.5% of total)ival-<=: 54.0ms (6.9% of total)ival-and: 12.0ms (1.5% of total)exact: 11.0ms (1.4% of total)adjust: 3.0ms (0.4% 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 |
| 66.0ms | 512× | 0 | valid |
Compiled 79 to 31 computations (60.8% saved)
ival-add: 15.0ms (29.9% of total)ival-cos: 14.0ms (27.9% of total)ival-sin: 11.0ms (21.9% of total)ival-mult: 6.0ms (11.9% of total)ival-div: 3.0ms (6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 61 |
| 1 | 76 | 57 |
| 2 | 164 | 55 |
| 3 | 308 | 55 |
| 4 | 569 | 55 |
| 5 | 1146 | 55 |
| 6 | 2627 | 55 |
| 7 | 5352 | 55 |
| 0 | 9 | 11 |
| 0 | 15 | 11 |
| 1 | 32 | 11 |
| 2 | 49 | 11 |
| 3 | 84 | 11 |
| 4 | 172 | 11 |
| 5 | 435 | 11 |
| 6 | 1116 | 11 |
| 7 | 2483 | 11 |
| 8 | 4976 | 11 |
| 0 | 8061 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 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)
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 | 1 | (+.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 | 32 | 32 |
| 2 | 49 | 32 |
| 3 | 84 | 32 |
| 4 | 172 | 32 |
| 5 | 435 | 32 |
| 6 | 1116 | 32 |
| 7 | 2483 | 32 |
| 8 | 4976 | 32 |
| 0 | 8061 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 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 | 0.0078125 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| accuracy | 0.1015625 | (*.f64 e (sin.f64 v)) | |
| accuracy | 0.12109375 | (*.f64 e (cos.f64 v)) |
| 67.0ms | 256× | 0 | valid |
Compiled 34 to 11 computations (67.6% saved)
ival-cos: 14.0ms (54.4% of total)ival-sin: 6.0ms (23.3% of total)ival-mult: 3.0ms (11.7% of total)ival-div: 1.0ms (3.9% of total)ival-add: 1.0ms (3.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.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 | |
|---|---|---|---|---|
| 2.0ms | 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 | e | @ | 0 | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 2.0ms | v | @ | 0 | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 2.0ms | e | @ | inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 1.0ms | v | @ | inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 841 |
| 1 | 643 | 829 |
| 2 | 2192 | 788 |
| 3 | 7356 | 761 |
| 0 | 8175 | 705 |
| 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 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (sin.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 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (neg.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 (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 (/.f64 (neg.f64 (sin.f64 v)) e) (cos.f64 v)) (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 (/.f64 (neg.f64 (sin.f64 v)) e) (cos.f64 v)) (sin.f64 v)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) e)) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(-.f64 (/.f64 (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 (- (* -1 (cos v)) (/ 1 e)))) |
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
(+ (* -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 (/.f64 (neg.f64 (sin.f64 v)) e) (cos.f64 v)) (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 (*.f64 e (fma.f64 (*.f64 #s(literal 1/24 binary64) v) v #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 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 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) (*.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)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 #s(literal 1/120 binary64) e)) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v) (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e))) (*.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))) (* (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 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64)) e (fma.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 #s(literal 1/120 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64)) e (*.f64 #s(literal -1/720 binary64) (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v)) (/.f64 (fma.f64 #s(literal -1/120 binary64) e (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal -1/2 binary64) e)))) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v) (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(* e v) |
(*.f64 v e) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 (fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) 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 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.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)) (-.f64 (*.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 (pow.f64 v #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #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)))))) |
(fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/24 binary64) v) v #s(literal -1/2 binary64))) (*.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 (pow.f64 v #s(literal 4 binary64)) (*.f64 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 (-.f64 (*.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 (pow.f64 v #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #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 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(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 | 49 | 29 |
| 2 | 256 | 29 |
| 3 | 2195 | 29 |
| 0 | 9771 | 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 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #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 (neg.f64 e) (cos.f64 v) #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)))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #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 #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 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -2 binary64)) (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 2 binary64)))) (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.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 -2 binary64)) (pow.f64 (/.f64 (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))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -2 binary64)) (+.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 2 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 (neg.f64 (+.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 -3 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 9 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 3 binary64))))) (neg.f64 (+.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 -2 binary64)) (-.f64 (pow.f64 (/.f64 (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))) #s(literal 2 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)) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 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 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.f64 (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 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 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 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 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 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))) |
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(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
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(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (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 3 binary64))))) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
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(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))))))) |
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(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e)) |
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v))) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) |
(neg.f64 (neg.f64 (sin.f64 v))) |
(sin.f64 (neg.f64 (+.f64 v (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 v (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 v) (PI.f64))) |
(sin.f64 v) |
(cos.f64 (+.f64 (+.f64 v (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (fabs.f64 (fabs.f64 (cos.f64 v))) (fabs.f64 (fabs.f64 e))) |
(*.f64 (fabs.f64 (fabs.f64 e)) (fabs.f64 (fabs.f64 (cos.f64 v)))) |
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(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (cos.f64 v))) (sqrt.f64 (neg.f64 e))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 e) (cos.f64 v))) (sqrt.f64 (*.f64 (neg.f64 e) (cos.f64 v)))) |
(*.f64 (sqrt.f64 (neg.f64 e)) (sqrt.f64 (*.f64 (cos.f64 v) (*.f64 (neg.f64 e) (cos.f64 v))))) |
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(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 v) e) e)) (sqrt.f64 (cos.f64 v))) |
(*.f64 (sqrt.f64 (cos.f64 v)) (sqrt.f64 (*.f64 (neg.f64 e) (*.f64 (neg.f64 e) (cos.f64 v))))) |
(*.f64 (sqrt.f64 (cos.f64 v)) (sqrt.f64 (*.f64 (*.f64 (cos.f64 v) e) e))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e)) |
(*.f64 (sqrt.f64 e) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e))) |
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v)))) |
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(*.f64 (fabs.f64 (cos.f64 v)) (fabs.f64 e)) |
(*.f64 (fabs.f64 e) (fabs.f64 (cos.f64 v))) |
(*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(*.f64 (cos.f64 v) e) |
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(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
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(pow.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
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(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))) |
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(*.f64 (cos.f64 v) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 v)) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 v) (neg.f64 (cos.f64 v)))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)) (neg.f64 (cos.f64 v)) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 v)))) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)))) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)))))) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 v) (neg.f64 (cos.f64 v))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (neg.f64 (cos.f64 v)) (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)))) (*.f64 (neg.f64 (cos.f64 v)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)))) (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)))) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 v) (neg.f64 (cos.f64 v))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (neg.f64 (cos.f64 v))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v))))) |
(/.f64 (-.f64 (cos.f64 v) (neg.f64 (cos.f64 v))) #s(literal 2 binary64)) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (*.f64 (cos.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))))) |
(fma.f64 (neg.f64 (sin.f64 v)) #s(literal 0 binary64) (cos.f64 v)) |
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64) (cos.f64 v)) |
(fma.f64 #s(literal 0 binary64) (sin.f64 v) (cos.f64 v)) |
(fma.f64 (sin.f64 v) #s(literal 0 binary64) (cos.f64 v)) |
(fma.f64 (cos.f64 v) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))) |
(fma.f64 (cos.f64 v) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 v))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 v) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 v) (*.f64 #s(literal 0 binary64) (sin.f64 v))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (neg.f64 (cos.f64 v))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (neg.f64 (cos.f64 v)))) |
(-.f64 (/.f64 (cos.f64 v) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 v)) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 v v) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 v v) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 (neg.f64 (cos.f64 v)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (-.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 v)) |
(cos.f64 v) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v))))) (*.f64 (cos.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))))) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64)) (cos.f64 v)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 v))) (cos.f64 v)) |
(+.f64 (*.f64 (neg.f64 (sin.f64 v)) #s(literal 0 binary64)) (cos.f64 v)) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)) |
(+.f64 (cos.f64 v) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))) |
(+.f64 (cos.f64 v) (*.f64 #s(literal 0 binary64) (sin.f64 v))) |
Compiled 11 071 to 1 375 computations (87.6% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 365 | 8 | 373 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 366 | 8 | 374 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| ▶ | 99.4% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| ▶ | 99.7% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))) |
| 50.5% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| ▶ | 99.8% | (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
| ▶ | 50.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| ▶ | 98.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
| 98.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
Compiled 294 to 216 computations (26.5% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 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 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) 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)) (sin.f64 v)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) 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 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 (sin.f64 v) e) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 10 | (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 276 |
| 0 | 61 | 276 |
| 1 | 106 | 276 |
| 2 | 197 | 276 |
| 3 | 444 | 267 |
| 4 | 1303 | 267 |
| 5 | 4078 | 267 |
| 0 | 8262 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
(-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) |
(*.f64 (cos.f64 v) e) |
(cos.f64 v) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(-.f64 (*.f64 (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 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (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) |
(sin.f64 v) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))) |
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
(neg.f64 e) |
(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) |
(neg.f64 (cos.f64 v)) |
(cos.f64 v) |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
v |
e |
(-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) |
(*.f64 (cos.f64 v) e) |
(cos.f64 v) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(-.f64 (*.f64 (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 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 v)) e))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) |
(*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 v)) e)) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (neg.f64 (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) |
(sin.f64 v) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))) |
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)) |
(neg.f64 e) |
(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) |
(fma.f64 #s(literal -1 binary64) (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(neg.f64 (cos.f64 v)) |
(cos.f64 v) |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.0078125 | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))) | |
| accuracy | 0.1015625 | (*.f64 e (sin.f64 v)) | |
| accuracy | 0.18359375 | (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))) | |
| accuracy | 0.00390625 | (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) | |
| accuracy | 0.09375 | (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) | |
| accuracy | 0.6863889066066751 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.0078125 | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) | |
| accuracy | 0.1015625 | (*.f64 e (sin.f64 v)) | |
| accuracy | 0.27844071159476114 | #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) e) | |
| accuracy | 0.0078125 | (/.f64 e (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.01171875 | (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) | |
| accuracy | 31.495068941690207 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) | |
| accuracy | 0.01171875 | (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) | |
| accuracy | 0.1015625 | (*.f64 (sin.f64 v) e) | |
| accuracy | 0.12109375 | (*.f64 (cos.f64 v) e) | |
| accuracy | 0.1484375 | (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) |
| 100.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 231 to 31 computations (86.6% saved)
ival-sin: 17.0ms (28.6% of total)ival-mult: 14.0ms (23.6% of total)ival-neg: 8.0ms (13.5% of total)ival-div: 6.0ms (10.1% of total)ival-cos: 5.0ms (8.4% of total)ival-sub: 3.0ms (5.1% of total)ival-add: 3.0ms (5.1% of total)ival-pow2: 2.0ms (3.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(sin.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 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) |
(*.f64 (cos.f64 v) e) |
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) |
| Outputs |
|---|
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v))))))) |
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))))))) |
(* -1 (* e (sin v))) |
(* e (+ (* -1 (sin v)) (* -1 (* (pow e 2) (* (pow (cos v) 2) (sin v)))))) |
(* e (+ (* -1 (sin v)) (* (pow e 2) (- (* -1 (* (pow e 2) (* (pow (cos v) 4) (sin v)))) (* (pow (cos v) 2) (sin v)))))) |
(* e (+ (* -1 (sin v)) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) (* (pow (cos v) 6) (sin v)))) (* (pow (cos v) 4) (sin v)))) (* (pow (cos v) 2) (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 |
(+ 1 e) |
(+ 1 (* e (cos v))) |
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ 1 (* -1 (* e (cos v)))) |
(* (pow e 2) (pow (cos v) 2)) |
(* e (cos v)) |
(/ -1 e) |
(/ (- (* -1 (* e (cos v))) 1) e) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))) |
(- (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v)))) (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3))))) |
(/ (sin v) (* e (pow (cos v) 2))) |
(/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (/ (sin v) (pow (cos v) 2))) e) |
(/ (- (+ (/ (sin v) (* (pow e 4) (pow (cos v) 6))) (/ (sin v) (pow (cos v) 2))) (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4))))) e) |
(/ (- (+ (/ (sin v) (* (pow e 6) (pow (cos v) 8))) (/ (sin v) (pow (cos v) 2))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))))) e) |
(- (+ (/ (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))) |
(* e (+ (cos v) (/ 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) (sin v)))) |
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* e (cos v))) |
(* e (+ (* -1 (cos v)) (/ 1 e))) |
(* -1 (cos v)) |
(* -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 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (+ (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))) (* -1 (/ (sin v) (pow (cos v) 2))))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (+ (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))) (+ (* -1 (/ (sin v) (* (pow e 6) (pow (cos v) 8)))) (* -1 (/ (sin v) (pow (cos v) 2)))))) e)) |
(+ 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 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(/ (* e (* v (- e 1))) (- (pow e 2) 1)) |
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1)))) |
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1)))) |
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/144 e) (+ (* -1/240 e) (+ (* -1/720 e) (* -1/5040 (- e 1)))))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))))))) (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1)))) |
(/ (* e v) (- (pow e 2) 1)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- (pow e 2) 1))) (* (pow v 2) (- (* 1/120 (/ e (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- (pow e 2) 1))) (* (pow v 2) (- (+ (* 1/120 (/ e (- (pow e 2) 1))) (* (pow v 2) (- (* -1/5040 (/ e (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (* 1/120 (/ e (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (pow e 3) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (pow e 3) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1)))))))) (+ (* -1 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1)))) |
(* 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 (* -1/6 (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 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)))) |
(+ 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 (* -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)))))))))))) |
(* v (+ 1 (* -1 e))) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 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))))))))) |
(pow e 2) |
(+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2)) |
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2)) |
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2)) |
(+ 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)))))) |
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e)))) |
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(* -1 (+ 1 (/ 1 e))) |
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e))) |
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e))) |
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e))) |
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (pow (cos v) 2)) 1)) |
(/ (* e (sin v)) (- (* (pow e 2) (pow (cos v) 2)) 1)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | v | @ | 0 | ((* (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (- (* (cos v) e) 1)) (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (* (sin v) e) (sin 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)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (pow (* (cos v) e) 2) (* (cos v) e) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e))) |
| 5.0ms | v | @ | inf | ((* (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (- (* (cos v) e) 1)) (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (* (sin v) e) (sin 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)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (pow (* (cos v) e) 2) (* (cos v) e) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e))) |
| 5.0ms | e | @ | 0 | ((* (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (- (* (cos v) e) 1)) (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (* (sin v) e) (sin 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)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (pow (* (cos v) e) 2) (* (cos v) e) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e))) |
| 5.0ms | v | @ | -inf | ((* (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (- (* (cos v) e) 1)) (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (* (sin v) e) (sin 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)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (pow (* (cos v) e) 2) (* (cos v) e) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e))) |
| 4.0ms | e | @ | inf | ((* (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (- (* (cos v) e) 1)) (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (* (sin v) e) (sin 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)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (pow (* (cos v) e) 2) (* (cos v) e) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 555 | 3034 |
| 1 | 1973 | 2905 |
| 2 | 7537 | 2832 |
| 0 | 8310 | 2676 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v))))))) |
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))))))) |
(* -1 (* e (sin v))) |
(* e (+ (* -1 (sin v)) (* -1 (* (pow e 2) (* (pow (cos v) 2) (sin v)))))) |
(* e (+ (* -1 (sin v)) (* (pow e 2) (- (* -1 (* (pow e 2) (* (pow (cos v) 4) (sin v)))) (* (pow (cos v) 2) (sin v)))))) |
(* e (+ (* -1 (sin v)) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) (* (pow (cos v) 6) (sin v)))) (* (pow (cos v) 4) (sin v)))) (* (pow (cos v) 2) (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 |
(+ 1 e) |
(+ 1 (* e (cos v))) |
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ 1 (* -1 (* e (cos v)))) |
(* (pow e 2) (pow (cos v) 2)) |
(* e (cos v)) |
(/ -1 e) |
(/ (- (* -1 (* e (cos v))) 1) e) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))) |
(- (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v)))) (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3))))) |
(/ (sin v) (* e (pow (cos v) 2))) |
(/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (/ (sin v) (pow (cos v) 2))) e) |
(/ (- (+ (/ (sin v) (* (pow e 4) (pow (cos v) 6))) (/ (sin v) (pow (cos v) 2))) (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4))))) e) |
(/ (- (+ (/ (sin v) (* (pow e 6) (pow (cos v) 8))) (/ (sin v) (pow (cos v) 2))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))))) e) |
(- (+ (/ (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))) |
(* e (+ (cos v) (/ 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) (sin v)))) |
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* e (cos v))) |
(* e (+ (* -1 (cos v)) (/ 1 e))) |
(* -1 (cos v)) |
(* -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 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (+ (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))) (* -1 (/ (sin v) (pow (cos v) 2))))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (+ (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))) (+ (* -1 (/ (sin v) (* (pow e 6) (pow (cos v) 8)))) (* -1 (/ (sin v) (pow (cos v) 2)))))) e)) |
(+ 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 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(/ (* e (* v (- e 1))) (- (pow e 2) 1)) |
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1)))) |
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1)))) |
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/144 e) (+ (* -1/240 e) (+ (* -1/720 e) (* -1/5040 (- e 1)))))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))))))) (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1)))) |
(/ (* e v) (- (pow e 2) 1)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- (pow e 2) 1))) (* (pow v 2) (- (* 1/120 (/ e (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- (pow e 2) 1))) (* (pow v 2) (- (+ (* 1/120 (/ e (- (pow e 2) 1))) (* (pow v 2) (- (* -1/5040 (/ e (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (* 1/120 (/ e (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (pow e 3) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (pow e 3) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1)))))))) (+ (* -1 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1)))) |
(* 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 (* -1/6 (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 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)))) |
(+ 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 (* -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)))))))))))) |
(* v (+ 1 (* -1 e))) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 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))))))))) |
(pow e 2) |
(+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2)) |
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2)) |
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2)) |
(+ 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)))))) |
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e)))) |
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(* -1 (+ 1 (/ 1 e))) |
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e))) |
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e))) |
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e))) |
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (pow (cos v) 2)) 1)) |
(/ (* e (sin v)) (- (* (pow e 2) (pow (cos v) 2)) 1)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
| 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 (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v))))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e) |
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e (sin.f64 v)) e) |
(* -1 (* e (sin v))) |
(*.f64 (neg.f64 e) (sin.f64 v)) |
(* e (+ (* -1 (sin v)) (* -1 (* (pow e 2) (* (pow (cos v) 2) (sin v)))))) |
(*.f64 (neg.f64 e) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e #s(literal 1 binary64)) (sin.f64 v))) |
(* e (+ (* -1 (sin v)) (* (pow e 2) (- (* -1 (* (pow e 2) (* (pow (cos v) 4) (sin v)))) (* (pow (cos v) 2) (sin v)))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 e) e) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (sin.f64 v)))) (*.f64 e e) (neg.f64 (sin.f64 v))) e) |
(* e (+ (* -1 (sin v)) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) (* (pow (cos v) 6) (sin v)))) (* (pow (cos v) 4) (sin v)))) (* (pow (cos v) 2) (sin v)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 e) e) (pow.f64 (cos.f64 v) #s(literal 6 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (sin.f64 v))) (*.f64 e e) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) (*.f64 e e) (neg.f64 (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) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (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 (cos.f64 v)) (sin.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (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 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) |
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- (pow e 2) 1))) (* (pow v 2) (- (+ (* 1/120 (/ e (- (pow e 2) 1))) (* (pow v 2) (- (* -1/5040 (/ e (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (* 1/120 (/ e (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (pow e 3) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (pow e 3) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1)))))))) (+ (* -1 (/ (* (pow e 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1)))) |
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(* v (+ e (* -1/6 (* e (pow v 2))))) |
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(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
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(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
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(* 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)) (-.f64 (*.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)))) |
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(/ (* 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)))) |
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(* 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)))) |
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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)))) |
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(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) e)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+.f64 (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) #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 (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) (+.f64 #s(literal 1 binary64) e)) |
(* e (* v (+ 1 (* -1 e)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) |
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))) |
(*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) 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))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
(* 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)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) e) (*.f64 v v) (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
(* v (+ 1 (* -1 e))) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v) |
(+ 1 (* -1 e)) |
(-.f64 #s(literal 1 binary64) e) |
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) e) (-.f64 #s(literal 1 binary64) e)) |
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal 1/2 binary64) e)) 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 (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/24 binary64) e)) v) v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) |
(pow e 2) |
(*.f64 e e) |
(+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 e) e) v) v (*.f64 e e)) |
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) e) e) #s(literal 1/3 binary64) (*.f64 (neg.f64 e) e)) v) v (*.f64 e e)) |
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) e) e) #s(literal -2/45 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 e e))) v) v (*.f64 (neg.f64 e) e)) (*.f64 v v) (*.f64 e 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) |
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e)))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) e)) |
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+.f64 (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) #s(literal 1 binary64)) |
(+ (* e (+ 1 (/ 1 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) (+.f64 #s(literal 1 binary64) e)) |
(* -1 (+ 1 (/ 1 e))) |
(+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) |
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e))) |
(-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) |
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e))) |
(-.f64 (*.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))) |
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e))) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.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))) |
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (pow (cos v) 2)) 1)) |
(/.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (sin.f64 v)) (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64))) |
(/ (* e (sin v)) (- (* (pow e 2) (pow (cos v) 2)) 1)) |
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) 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)))) |
(* 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)) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 217 |
| 0 | 61 | 217 |
| 1 | 201 | 217 |
| 2 | 1157 | 217 |
| 0 | 8573 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(sin.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 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) |
(*.f64 (cos.f64 v) e) |
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 v)) (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)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 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 (cos.f64 v) e) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (*.f64 e (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(*.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 (*.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)))) |
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 v)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 v))) |
(*.f64 (*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 v)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) (*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 v)))) (neg.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 v)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 v)) (*.f64 e (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 e) (sin.f64 v)))) (neg.f64 (*.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) (neg.f64 (*.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 e) (sin.f64 v)))) (neg.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) (neg.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))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (*.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)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 12 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 8 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))) (*.f64 (neg.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) (*.f64 (neg.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) (*.f64 (neg.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))) (*.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 e) (sin.f64 v))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v)) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v)) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 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 (neg.f64 e) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 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))))) |
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(neg.f64 (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) e)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))) (*.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))) (+.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) (/.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))) (*.f64 (/.f64 (pow.f64 e #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) (/.f64 (pow.f64 e #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))))) (+.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) (/.f64 (pow.f64 e #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (fma.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (*.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 e #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) (/.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) (fma.f64 (/.f64 (pow.f64 e #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) (/.f64 (pow.f64 e #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) (/.f64 (pow.f64 e #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.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) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (*.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))) (pow.f64 e #s(literal -2 binary64)))) (*.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) (*.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))) (pow.f64 e #s(literal -3 binary64)))) (*.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))) |
(/.f64 (neg.f64 (-.f64 (neg.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) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (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 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) |
(/.f64 (-.f64 (neg.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) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))) |
(-.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) (/.f64 (pow.f64 e #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))) |
(-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (/.f64 (neg.f64 (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))) |
(+.f64 (neg.f64 (cos.f64 v)) (neg.f64 (pow.f64 e #s(literal -1 binary64)))) |
Compiled 21 281 to 2 693 computations (87.3% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 592 | 20 | 612 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 595 | 25 | 620 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ✓ | 99.4% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| 34.4% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (neg.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) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))))) | |
| 97.8% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))) | |
| 99.3% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)))))) | |
| 99.7% | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) e) | |
| 50.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) | |
| 93.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v))) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))) (-.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))) e)) | |
| 73.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v))) (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))))) e)) | |
| ✓ | 50.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| ✓ | 98.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
| 98.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) | |
| 98.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) e)) | |
| ▶ | 98.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| 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)) | |
| 49.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 49.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 49.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 98.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) e)) e)) | |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) | |
| ▶ | 49.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) | |
| ▶ | 71.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
| ▶ | 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
Compiled 1 615 to 997 computations (38.3% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) | |
| cost-diff | 1 | (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 (sin.f64 v) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) | |
| cost-diff | 0 | (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) 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 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) | |
| cost-diff | 3 | (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) | |
| 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 | (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 (sin.f64 v) e) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 333 |
| 0 | 68 | 329 |
| 1 | 132 | 313 |
| 2 | 313 | 313 |
| 3 | 1120 | 313 |
| 4 | 4680 | 309 |
| 0 | 8157 | 303 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(literal 1 binary64) |
#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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))) |
(*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 e v) |
e |
v |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) |
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1/6 binary64) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))) |
(*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
(fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) |
(neg.f64 (sin.f64 v)) |
(sin.f64 v) |
v |
(cos.f64 v) |
(/.f64 (sin.f64 v) e) |
e |
(*.f64 e e) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
v |
e |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(literal 1 binary64) |
#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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) 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 (*.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 (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))) |
#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)) |
(*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) 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) |
(*.f64 e v) |
e |
v |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) 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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) |
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1/6 binary64) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v))) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
v |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))) |
(*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
(*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) |
(fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) |
(neg.f64 (sin.f64 v)) |
(sin.f64 v) |
v |
(cos.f64 v) |
(/.f64 (sin.f64 v) e) |
e |
(*.f64 e e) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) | |
| accuracy | 0.12890625 | (/.f64 (sin.f64 v) e) | |
| accuracy | 0.49849705726802707 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) | |
| accuracy | 17.449166630137185 | (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.1015625 | (*.f64 (sin.f64 v) e) | |
| accuracy | 1.0090936755280104 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) | |
| accuracy | 0.33984375 | (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) | |
| accuracy | 0.49849705726802707 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) | |
| accuracy | 0.7752236184809186 | (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))) | |
| accuracy | 31.700417366341235 | #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))) | |
| accuracy | 0.0 | (*.f64 e v) | |
| accuracy | 1.0224472666210165 | #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) | |
| accuracy | 31.495068941690207 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.00390625 | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.1015625 | (*.f64 (sin.f64 v) e) |
| 110.0ms | 254× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
| 1.0ms | 1× | 1 | valid |
Compiled 235 to 42 computations (82.1% saved)
ival-mult: 35.0ms (38.8% of total)const: 25.0ms (27.7% of total)ival-add: 8.0ms (8.9% of total)ival-div: 6.0ms (6.7% of total)ival-sin: 6.0ms (6.7% of total)ival-cos: 5.0ms (5.5% of total)ival-neg: 2.0ms (2.2% of total)adjust: 1.0ms (1.1% of total)ival-sub: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
#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) |
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))) |
(*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))) |
(*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
(cos.f64 v) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) |
(/.f64 (sin.f64 v) e) |
| 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 |
(+ 1 (* e (cos v))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
-1/6 |
(- (* 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)))))) |
(/ (sin v) e) |
(/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) e) |
(* -1/6 v) |
(+ (* -1/6 v) (* 2/3 (* e v))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
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))) |
(* 2/3 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))) (/ (sin v) e)) |
(* 2/3 (* e v)) |
(* e (+ (* -1/6 (/ v e)) (* 2/3 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))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) 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))) |
(* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v 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 (+ 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 (* -1/6 (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 (+ 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 (* -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) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e)))) |
(* v (- (/ 1 e) 1)) |
(* v (- (+ (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (+ (* 1/120 (/ 1 e)) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(* (pow e 2) (* v (- (/ 1 e) 1))) |
(* v (+ (* (pow e 2) (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e))))) (* (pow e 2) (- (/ 1 e) 1)))) |
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))))))) |
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) (* (pow e 2) (- (* 1/120 (/ 1 e)) 2/15)))))))) |
(+ 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 (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) |
(/ v e) |
(* v (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e))) |
(* v (+ (* (pow v 2) (- (* 1/120 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e))) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -1/5040 (/ (pow v 2) e)) (* 1/120 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(sin v) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* e (* (pow v 3) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) |
(* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2)))) |
(cos v) |
(* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | e | @ | -inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (/ (sin v) e)) |
| 6.0ms | e | @ | inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (/ (sin v) e)) |
| 5.0ms | v | @ | -inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (/ (sin v) e)) |
| 4.0ms | v | @ | inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (/ (sin v) e)) |
| 4.0ms | v | @ | 0 | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (/ (sin v) e)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 413 | 1631 |
| 1 | 1462 | 1530 |
| 2 | 5691 | 1512 |
| 0 | 8136 | 1423 |
| 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 |
(+ 1 (* e (cos v))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
-1/6 |
(- (* 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)))))) |
(/ (sin v) e) |
(/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) e) |
(* -1/6 v) |
(+ (* -1/6 v) (* 2/3 (* e v))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
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))) |
(* 2/3 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))) (/ (sin v) e)) |
(* 2/3 (* e v)) |
(* e (+ (* -1/6 (/ v e)) (* 2/3 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))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) 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))) |
(* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v 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 (+ 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 (* -1/6 (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 (+ 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 (* -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) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e)))) |
(* v (- (/ 1 e) 1)) |
(* v (- (+ (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (+ (* 1/120 (/ 1 e)) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(* (pow e 2) (* v (- (/ 1 e) 1))) |
(* v (+ (* (pow e 2) (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e))))) (* (pow e 2) (- (/ 1 e) 1)))) |
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))))))) |
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) (* (pow e 2) (- (* 1/120 (/ 1 e)) 2/15)))))))) |
(+ 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 (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) |
(/ v e) |
(* v (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e))) |
(* v (+ (* (pow v 2) (- (* 1/120 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e))) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -1/5040 (/ (pow v 2) e)) (* 1/120 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(sin v) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* e (* (pow v 3) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) |
(* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2)))) |
(cos v) |
(* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2)))))) |
| 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 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e v) |
(*.f64 e v) |
(* 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 e v) v) e v) e) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v (neg.f64 v)) e v) e) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 2/3 e) 1/6) |
(-.f64 (*.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 (fma.f64 (*.f64 e (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64))) v (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v)) e) |
(/ (sin v) e) |
(/.f64 (sin.f64 v) e) |
(/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) e) |
(/.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) |
(* -1/6 v) |
(*.f64 #s(literal -1/6 binary64) v) |
(+ (* -1/6 v) (* 2/3 (* e v))) |
(*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (/.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 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (pow.f64 e #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
v |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(-.f64 (+.f64 (/.f64 (/.f64 v e) e) v) (/.f64 v 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)) |
(* 2/3 e) |
(*.f64 #s(literal 2/3 binary64) 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 (-.f64 (*.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 (-.f64 (*.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 (sin.f64 v)) (cos.f64 v)) |
(+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)) |
(-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) |
(* 2/3 (* e v)) |
(*.f64 (*.f64 #s(literal 2/3 binary64) e) v) |
(* e (+ (* -1/6 (/ v e)) (* 2/3 v))) |
(*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (cos.f64 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))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (cos.f64 v))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e)) |
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3))) |
(*.f64 (neg.f64 e) (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 2/3 binary64))) |
(* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2)))))) |
(*.f64 (*.f64 (neg.f64 e) e) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -2/3 binary64) v)) |
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) e) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -2/3 binary64) v)) (*.f64 e e)) |
(* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v e))))) |
(*.f64 (neg.f64 e) (fma.f64 #s(literal -2/3 binary64) v (*.f64 (/.f64 v e) #s(literal 1/6 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 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) 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)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.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))) (* (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 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 #s(literal -1/720 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) e (*.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(* 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 (* -1/6 (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)) (-.f64 (*.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)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v) |
(+ 1 e) |
(+.f64 #s(literal 1 binary64) e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) e)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+.f64 (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) #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 (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) (+.f64 #s(literal 1 binary64) e)) |
(* e (* v (+ 1 (* -1 e)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) |
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))) |
(*.f64 (*.f64 e v) (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) 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))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
(* 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)))))))))))) |
(*.f64 (fma.f64 (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)) e (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) e))) v) |
(* e (* v (- 1 e))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) |
(* v (+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e)))) |
(*.f64 e (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) |
(* v (- (/ 1 e) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) |
(* v (- (+ (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v) |
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64)) v) v (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v) |
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (+ (* 1/120 (/ 1 e)) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 4/315 binary64) (/.f64 #s(literal 1/5040 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64))) (*.f64 v v) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v) |
(* (pow e 2) (* v (- (/ 1 e) 1))) |
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) e) e) |
(* v (+ (* (pow e 2) (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e))))) (* (pow e 2) (- (/ 1 e) 1)))) |
(*.f64 (*.f64 (*.f64 e e) v) (fma.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) |
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))))))) |
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) e) e (*.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64)) v) v (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (*.f64 e e)))) |
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) (* (pow e 2) (- (* 1/120 (/ 1 e)) 2/15)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (*.f64 e e) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 4/315 binary64) (/.f64 #s(literal 1/5040 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64))) (*.f64 e e)))) v) |
(+ 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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) v) v) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(* v (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) |
(*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) |
(/ v e) |
(/.f64 v e) |
(* v (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e))) |
(/.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) e) |
(* v (+ (* (pow v 2) (- (* 1/120 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) e) (/.f64 v e)) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -1/5040 (/ (pow v 2) e)) (* 1/120 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) e) #s(literal -1/5040 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #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) |
(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) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) |
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) |
(* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2)))) |
(*.f64 (*.f64 e (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) v) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)))) (pow.f64 v #s(literal 3 binary64))) |
(cos v) |
(cos.f64 v) |
(* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2)))))) |
(*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (neg.f64 (*.f64 e (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) v) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 278 |
| 0 | 68 | 274 |
| 1 | 245 | 260 |
| 2 | 1778 | 256 |
| 0 | 8188 | 251 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
#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) |
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))) |
(*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))) |
(*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
(cos.f64 v) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) |
(/.f64 (sin.f64 v) e) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.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 e (sin.f64 v)) (+.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)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))) v)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))))) |
(/.f64 (neg.f64 (*.f64 v (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 v (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64))) v) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))) v) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))) |
(/.f64 (*.f64 v (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 v (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))) |
(fma.f64 (*.f64 e #s(literal 2/3 binary64)) v (*.f64 #s(literal -1/6 binary64) v)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) e) v (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v (*.f64 (*.f64 #s(literal 1/2 binary64) e) v)) |
(fma.f64 v (*.f64 e #s(literal 2/3 binary64)) (*.f64 v #s(literal -1/6 binary64))) |
(fma.f64 v (*.f64 #s(literal 1/2 binary64) e) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) |
(fma.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 v (*.f64 #s(literal 1/2 binary64) e))) |
(+.f64 (*.f64 (*.f64 e #s(literal 2/3 binary64)) v) (*.f64 #s(literal -1/6 binary64) v)) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v)) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v) (*.f64 (*.f64 #s(literal 1/2 binary64) e) v)) |
(+.f64 (*.f64 v (*.f64 e #s(literal 2/3 binary64))) (*.f64 v #s(literal -1/6 binary64))) |
(+.f64 (*.f64 v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (*.f64 v (*.f64 #s(literal 1/2 binary64) e))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 v)))) (neg.f64 (neg.f64 (neg.f64 e)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 e))) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 e)) |
(/.f64 (sin.f64 v) e) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) e)) |
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 e))) |
(-.f64 (/.f64 (*.f64 (cos.f64 v) #s(literal 0 binary64)) (neg.f64 e)) (/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (neg.f64 e))) |
(+.f64 (/.f64 (*.f64 (sin.f64 v) #s(literal -1 binary64)) (neg.f64 e)) (/.f64 (*.f64 (cos.f64 v) #s(literal 0 binary64)) (neg.f64 e))) |
Compiled 21 743 to 2 406 computations (88.9% saved)
33 alts after pruning (27 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 444 | 13 | 457 |
| Fresh | 3 | 14 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 449 | 33 | 482 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ✓ | 99.4% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| 34.4% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (neg.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) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))))) | |
| ▶ | 97.8% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))) |
| 99.3% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)))))) | |
| ▶ | 99.7% | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) e) |
| 50.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) | |
| 93.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v))) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))) (-.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))) e)) | |
| ✓ | 50.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| ✓ | 98.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
| 98.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) | |
| 98.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) e)) | |
| ✓ | 98.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| 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)) | |
| ▶ | 49.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
| 49.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 98.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) e)) e)) | |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) | |
| ✓ | 49.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)))) | |
| 60.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64))) (*.f64 e e)) (-.f64 (*.f64 (neg.f64 (sin.f64 v)) (cos.f64 v)) (/.f64 (sin.f64 v) e))))) | |
| 64.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (neg.f64 (sin.f64 v)) (cos.f64 v)))) (*.f64 e e)))) | |
| 49.4% | #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 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) | |
| 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e))))) | |
| ▶ | 49.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e))))) |
| 70.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) | |
| 42.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (*.f64 e e)))) | |
| 49.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) e) e)))) | |
| 36.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (*.f64 (*.f64 (*.f64 e e) v) (fma.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))))) | |
| ▶ | 24.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)))) |
| 49.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.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))) | |
| 49.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
Compiled 2 312 to 1 426 computations (38.3% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.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 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) 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 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e))))) | |
| cost-diff | 1 | (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) | |
| cost-diff | 3 | (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e) | |
| cost-diff | 0 | #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) e) e) | |
| cost-diff | 0 | #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| cost-diff | 0 | #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) e) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 647 |
| 0 | 107 | 647 |
| 1 | 202 | 611 |
| 2 | 458 | 604 |
| 3 | 1374 | 604 |
| 4 | 5152 | 592 |
| 0 | 8413 | 567 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) e) |
(/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) |
(sin.f64 v) |
v |
#s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)) |
(-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) |
(neg.f64 (cos.f64 v)) |
(cos.f64 v) |
(pow.f64 e #s(literal -1 binary64)) |
e |
#s(literal -1 binary64) |
(neg.f64 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)) |
(*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
#s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) e) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e))) |
#s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) |
(*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) |
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 v v) #s(literal 2/3 binary64)) |
(*.f64 v v) |
v |
#s(literal 2/3 binary64) |
#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 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)))) |
(*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 e v) |
e |
v |
(fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) |
(*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e) |
(fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) |
(/.f64 v e) |
#s(literal -1/6 binary64) |
(*.f64 #s(literal 2/3 binary64) v) |
#s(literal 2/3 binary64) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))) |
(*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) |
(neg.f64 e) |
#s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) |
(/.f64 #s(literal -1 binary64) e) |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) e) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))) |
(/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) |
(/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))) |
(sin.f64 v) |
v |
#s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)) |
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))) |
(-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) |
(neg.f64 (cos.f64 v)) |
(cos.f64 v) |
(pow.f64 e #s(literal -1 binary64)) |
e |
#s(literal -1 binary64) |
(neg.f64 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)) |
(*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
#s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) e) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e) e))) |
#s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)) |
#s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e) e)) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e) e) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e) |
(*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) |
(*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) |
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(*.f64 (*.f64 v v) #s(literal 2/3 binary64)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 v v)) |
(*.f64 v v) |
v |
#s(literal 2/3 binary64) |
#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 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) 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 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v))) |
(*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e))) |
(*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)) |
(*.f64 e v) |
e |
v |
(fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) |
(fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (-.f64 #s(literal 1 binary64) e)) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) |
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) |
(*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) |
(fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) |
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal -2/3 binary64)) v) |
(/.f64 v e) |
#s(literal -1/6 binary64) |
(*.f64 #s(literal 2/3 binary64) v) |
#s(literal 2/3 binary64) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))) |
#s(approx (+ 1 (* e (cos v))) (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))) |
(*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) |
(*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)) |
(neg.f64 e) |
#s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) |
(/.f64 #s(literal -1 binary64) e) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))) | |
| accuracy | 0.1015625 | (*.f64 e (sin.f64 v)) | |
| accuracy | 0.18359375 | (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) | |
| accuracy | 1.198229230589521 | #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) | |
| accuracy | 0.6863889066066751 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e))))) | |
| accuracy | 0.7752236184809186 | (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e))) | |
| accuracy | 15.14185402271271 | (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e) | |
| accuracy | 31.700417366341235 | #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)))) | |
| accuracy | 4.520080338708232 | (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e) | |
| accuracy | 4.744135874520228 | (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) | |
| accuracy | 31.700417366341235 | #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e))) | |
| accuracy | 48.71232925992401 | #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)) | |
| accuracy | 0.0 | (*.f64 (-.f64 #s(literal 1 binary64) e) e) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) | |
| accuracy | 0.6993386150471312 | #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) | |
| accuracy | 31.495068941690207 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| accuracy | 0.00390625 | (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) | |
| accuracy | 0.01171875 | (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) e) | |
| accuracy | 0.18359375 | (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)) |
| 226.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 347 to 56 computations (83.9% saved)
ival-div: 61.0ms (32.9% of total)ival-sin: 60.0ms (32.4% of total)ival-mult: 33.0ms (17.8% of total)const: 9.0ms (4.9% of total)ival-add: 7.0ms (3.8% of total)ival-cos: 5.0ms (2.7% of total)ival-sub: 4.0ms (2.2% of total)ival-pow: 3.0ms (1.6% of total)ival-neg: 2.0ms (1.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) e) |
(/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) |
(sin.f64 v) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 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)) |
(*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
#s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
(*.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 (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e))) |
#s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e) |
(*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e) |
(fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))) |
(*.f64 e (sin.f64 v)) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)) |
(-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) |
(*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e))) |
#s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) |
(*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) |
| 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)))))) |
(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 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)))) |
(* e (* v (+ 1 (* -1/6 (pow v 2))))) |
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1))) |
(* -1/6 v) |
(+ (* -1/6 v) (* 2/3 (* e v))) |
(* -1/6 (/ v e)) |
(/ (+ (* -1/6 v) (* 2/3 (* e v))) e) |
(/ -1 e) |
(/ (- (* -1 (* e (cos v))) 1) e) |
(* e (* v (- (* 2/3 (pow v 2)) 1))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (* 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)) |
(* e (+ (cos v) (/ 1 e))) |
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)))) |
(* -1 (pow e 2)) |
(* (pow e 2) (- (/ 1 e) 1)) |
(* -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)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(* 2/3 (* e v)) |
(* e (+ (* -1/6 (/ v e)) (* 2/3 v))) |
(* 2/3 v) |
(+ (* -1/6 (/ v e)) (* 2/3 v)) |
(* -1 (cos v)) |
(* -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 (/ (+ (* -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)))) |
(+ 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 (* (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))) |
(* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v 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 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 (+ 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 (* -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) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e)))) |
(* -1 (* (pow e 2) v)) |
(* v (+ (* -1 (pow e 2)) (* 2/3 (* (pow e 2) (pow v 2))))) |
(* e (* v (- 2/3 (* 1/6 (/ 1 e))))) |
(* v (- 2/3 (* 1/6 (/ 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))))))) |
(* e (+ 1 (/ 1 e))) |
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e)))) |
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(* -1 (+ 1 (/ 1 e))) |
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e))) |
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e))) |
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e))) |
(* -1 (* e v)) |
(* v (+ (* -1 e) (* 2/3 (* e (pow v 2))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* e (* (pow v 3) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) |
(* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2)))) |
(* 2/3 (* (pow e 2) (pow v 3))) |
(* (pow v 3) (+ (* -1 (/ (pow e 2) (pow v 2))) (* 2/3 (pow e 2)))) |
(* 2/3 (* e (pow v 3))) |
(* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 2/3 e))) |
(* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -2/3 (pow e 2)) (/ (pow e 2) (pow v 2))))) |
(* -1 (* e (* v (- (* 1/6 (/ 1 e)) 2/3)))) |
(* -1 (* v (- (* 1/6 (/ 1 e)) 2/3))) |
(* -1 (* (pow v 3) (+ (* -2/3 e) (/ e (pow v 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | e | @ | -inf | ((* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (sin v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (* (* (* (- (* (* v v) 2/3) 1) v) e) e) (* (+ (* (/ v e) -1/6) (* 2/3 v)) e) (+ (* (/ v e) -1/6) (* 2/3 v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (- (neg (cos v)) (pow e -1)) (neg e)) (- (neg (cos v)) (pow e -1)) (* (* (- (* (* v v) 2/3) 1) v) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (- (neg (cos v)) (/ 1 e)) (* (neg e) (- (neg (cos v)) (/ 1 e)))) |
| 5.0ms | v | @ | inf | ((* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (sin v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (* (* (* (- (* (* v v) 2/3) 1) v) e) e) (* (+ (* (/ v e) -1/6) (* 2/3 v)) e) (+ (* (/ v e) -1/6) (* 2/3 v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (- (neg (cos v)) (pow e -1)) (neg e)) (- (neg (cos v)) (pow e -1)) (* (* (- (* (* v v) 2/3) 1) v) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (- (neg (cos v)) (/ 1 e)) (* (neg e) (- (neg (cos v)) (/ 1 e)))) |
| 5.0ms | v | @ | -inf | ((* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (sin v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (* (* (* (- (* (* v v) 2/3) 1) v) e) e) (* (+ (* (/ v e) -1/6) (* 2/3 v)) e) (+ (* (/ v e) -1/6) (* 2/3 v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (- (neg (cos v)) (pow e -1)) (neg e)) (- (neg (cos v)) (pow e -1)) (* (* (- (* (* v v) 2/3) 1) v) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (- (neg (cos v)) (/ 1 e)) (* (neg e) (- (neg (cos v)) (/ 1 e)))) |
| 5.0ms | v | @ | 0 | ((* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (sin v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (* (* (* (- (* (* v v) 2/3) 1) v) e) e) (* (+ (* (/ v e) -1/6) (* 2/3 v)) e) (+ (* (/ v e) -1/6) (* 2/3 v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (- (neg (cos v)) (pow e -1)) (neg e)) (- (neg (cos v)) (pow e -1)) (* (* (- (* (* v v) 2/3) 1) v) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (- (neg (cos v)) (/ 1 e)) (* (neg e) (- (neg (cos v)) (/ 1 e)))) |
| 4.0ms | e | @ | 0 | ((* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (sin v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (* (* (* (- (* (* v v) 2/3) 1) v) e) e) (* (+ (* (/ v e) -1/6) (* 2/3 v)) e) (+ (* (/ v e) -1/6) (* 2/3 v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (- (neg (cos v)) (pow e -1)) (neg e)) (- (neg (cos v)) (pow e -1)) (* (* (- (* (* v v) 2/3) 1) v) e) (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (- (neg (cos v)) (/ 1 e)) (* (neg e) (- (neg (cos v)) (/ 1 e)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 2211 |
| 1 | 1703 | 2078 |
| 2 | 6521 | 2033 |
| 0 | 8335 | 1944 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(sin v) |
(+ (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 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)))) |
(* e (* v (+ 1 (* -1/6 (pow v 2))))) |
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2)))))) |
(* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1))) |
(* -1/6 v) |
(+ (* -1/6 v) (* 2/3 (* e v))) |
(* -1/6 (/ v e)) |
(/ (+ (* -1/6 v) (* 2/3 (* e v))) e) |
(/ -1 e) |
(/ (- (* -1 (* e (cos v))) 1) e) |
(* e (* v (- (* 2/3 (pow v 2)) 1))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (* 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)) |
(* e (+ (cos v) (/ 1 e))) |
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)))) |
(* -1 (pow e 2)) |
(* (pow e 2) (- (/ 1 e) 1)) |
(* -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)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(* 2/3 (* e v)) |
(* e (+ (* -1/6 (/ v e)) (* 2/3 v))) |
(* 2/3 v) |
(+ (* -1/6 (/ v e)) (* 2/3 v)) |
(* -1 (cos v)) |
(* -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 (/ (+ (* -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)))) |
(+ 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 (* (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))) |
(* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v 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 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 (+ 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 (* -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) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e)))) |
(* -1 (* (pow e 2) v)) |
(* v (+ (* -1 (pow e 2)) (* 2/3 (* (pow e 2) (pow v 2))))) |
(* e (* v (- 2/3 (* 1/6 (/ 1 e))))) |
(* v (- 2/3 (* 1/6 (/ 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))))))) |
(* e (+ 1 (/ 1 e))) |
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e)))) |
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(* -1 (+ 1 (/ 1 e))) |
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e))) |
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e))) |
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e))) |
(* -1 (* e v)) |
(* v (+ (* -1 e) (* 2/3 (* e (pow v 2))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* e (* (pow v 3) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) |
(* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2)))) |
(* 2/3 (* (pow e 2) (pow v 3))) |
(* (pow v 3) (+ (* -1 (/ (pow e 2) (pow v 2))) (* 2/3 (pow e 2)))) |
(* 2/3 (* e (pow v 3))) |
(* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 2/3 e))) |
(* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -2/3 (pow e 2)) (/ (pow e 2) (pow v 2))))) |
(* -1 (* e (* v (- (* 1/6 (/ 1 e)) 2/3)))) |
(* -1 (* v (- (* 1/6 (/ 1 e)) 2/3))) |
(* -1 (* (pow v 3) (+ (* -2/3 e) (/ e (pow v 2))))) |
| 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 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (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 (*.f64 (neg.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)) e (sin.f64 v)) e) |
(sin v) |
(sin.f64 v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))) |
(fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (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 (*.f64 (neg.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)) e (sin.f64 v)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e v) |
(*.f64 e v) |
(* e (+ v (* -1 (* e v)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) v) e v) e) |
e |
(* e (+ 1 (* -1 e))) |
(*.f64 (-.f64 #s(literal 1 binary64) e) e) |
(* e (+ 1 (* e (- e 1)))) |
(*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) #s(literal 1 binary64)) e #s(literal 1 binary64)) e) |
(* 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 (fma.f64 (*.f64 e (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64))) v (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v)) e) |
(* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e) e) |
(* -1/6 v) |
(*.f64 #s(literal -1/6 binary64) v) |
(+ (* -1/6 v) (* 2/3 (* e v))) |
(*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) |
(* -1/6 (/ v e)) |
(*.f64 (/.f64 v e) #s(literal -1/6 binary64)) |
(/ (+ (* -1/6 v) (* 2/3 (* e v))) e) |
(/.f64 (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) e) |
(/ -1 e) |
(/.f64 #s(literal -1 binary64) e) |
(/ (- (* -1 (* e (cos v))) 1) e) |
(/.f64 (-.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64)) e) |
(* e (* v (- (* 2/3 (pow v 2)) 1))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (/.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 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 v))) |
(- (+ (* -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 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 e #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) |
(/ (sin v) (* e (cos v))) |
(/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) |
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (cos.f64 v))) e) |
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 v))) 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) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 e #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
v |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(-.f64 (+.f64 (/.f64 (/.f64 v e) e) v) (/.f64 v 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) |
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))) |
(+.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) e) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) |
(* -1 (pow e 2)) |
(*.f64 (neg.f64 e) e) |
(* (pow e 2) (- (/ 1 e) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(*.f64 (*.f64 (neg.f64 e) e) (*.f64 (sin.f64 v) (cos.f64 v))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))) (*.f64 e e)) |
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #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)) |
(* 2/3 (* e v)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 e v)) |
(* e (+ (* -1/6 (/ v e)) (* 2/3 v))) |
(*.f64 (*.f64 e (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) v) |
(* 2/3 v) |
(*.f64 #s(literal 2/3 binary64) v) |
(+ (* -1/6 (/ v e)) (* 2/3 v)) |
(*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) |
(* -1 (cos v)) |
(neg.f64 (cos.f64 v)) |
(* -1 (+ (cos v) (/ 1 e))) |
(fma.f64 #s(literal -1 binary64) (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (cos.f64 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))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (cos.f64 v))) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 v) (/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v))) (cos.f64 v)) (neg.f64 e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(/.f64 (-.f64 (/.f64 (sin.f64 v) (neg.f64 (cos.f64 v))) (/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) (neg.f64 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)) |
(/.f64 (-.f64 (/.f64 (sin.f64 v) (neg.f64 (cos.f64 v))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (neg.f64 e)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) (neg.f64 e)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e)) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e)) |
(* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -2/3 binary64) v)) (*.f64 e e)) |
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) e) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -2/3 binary64) v)) (*.f64 e e)) |
(* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v e))))) |
(*.f64 (*.f64 e (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) v) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(fma.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e (*.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))))))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64)))) (*.f64 v v) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) 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)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (fma.f64 #s(literal -1/720 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))))) e (*.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (*.f64 v v) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))))) (*.f64 v v) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)) |
(/ v (+ 1 e)) |
(/.f64 v (+.f64 e #s(literal 1 binary64))) |
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(fma.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))) (/.f64 v (+.f64 e #s(literal 1 binary64)))) |
(* 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)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) e) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64)))) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64)))) (/.f64 v (+.f64 e #s(literal 1 binary64)))) |
(* 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)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 v) v) (+.f64 (/.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) e) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/24 binary64) e) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))))) #s(literal 1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/720 binary64))) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) e) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))))) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64)))) (/.f64 v (+.f64 e #s(literal 1 binary64)))) |
(* 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)) (-.f64 (*.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)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v) |
(+ 1 e) |
(+.f64 e #s(literal 1 binary64)) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+.f64 (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) #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 (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) (+.f64 e #s(literal 1 binary64))) |
(* e (* v (+ 1 (* -1 e)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) |
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))) |
(*.f64 (*.f64 e v) (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) 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))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
(* 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)))))))))))) |
(*.f64 (fma.f64 (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)) e (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) e))) v) |
(* e (* v (- 1 e))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) |
(* v (+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e)))) |
(*.f64 (*.f64 e v) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) |
(* -1 (* (pow e 2) v)) |
(*.f64 (*.f64 (neg.f64 e) e) v) |
(* v (+ (* -1 (pow e 2)) (* 2/3 (* (pow e 2) (pow v 2))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -2/3 binary64) v)) (*.f64 e e)) |
(* e (* v (- 2/3 (* 1/6 (/ 1 e))))) |
(*.f64 (*.f64 e (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) v) |
(* v (- 2/3 (* 1/6 (/ 1 e)))) |
(*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) |
(* 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)) |
(* e (+ 1 (/ 1 e))) |
(+.f64 e #s(literal 1 binary64)) |
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e)))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64))) |
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+.f64 (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) #s(literal 1 binary64)) |
(+ (* e (+ 1 (/ 1 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) (+.f64 e #s(literal 1 binary64))) |
(* -1 (+ 1 (/ 1 e))) |
(+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) |
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e))) |
(-.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) |
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e))) |
(-.f64 (*.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))) |
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e))) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.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 (* e v)) |
(*.f64 (neg.f64 v) e) |
(* v (+ (* -1 e) (* 2/3 (* e (pow v 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 2/3 binary64) (neg.f64 e)) 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) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(* 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) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) |
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) |
(* (pow v 3) (+ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (/ (* e (- 1 e)) (pow v 2)))) |
(*.f64 (*.f64 e (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) v) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)))) (pow.f64 v #s(literal 3 binary64))) |
(* 2/3 (* (pow e 2) (pow v 3))) |
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 2/3 binary64)) (*.f64 e e)) |
(* (pow v 3) (+ (* -1 (/ (pow e 2) (pow v 2))) (* 2/3 (pow e 2)))) |
(*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 e (/.f64 e (*.f64 v v)) (*.f64 #s(literal -2/3 binary64) (*.f64 e e)))) |
(* 2/3 (* e (pow v 3))) |
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) e) #s(literal 2/3 binary64)) |
(* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 2/3 e))) |
(*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 #s(literal -2/3 binary64) e (/.f64 e (*.f64 v v)))) |
(* -1 (* (pow v 3) (+ (* -1 (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2)))))) |
(*.f64 (*.f64 e (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) v) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)))) (pow.f64 v #s(literal 3 binary64))) |
(* -1 (* (pow v 3) (+ (* -2/3 (pow e 2)) (/ (pow e 2) (pow v 2))))) |
(*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 e (/.f64 e (*.f64 v v)) (*.f64 #s(literal -2/3 binary64) (*.f64 e e)))) |
(* -1 (* e (* v (- (* 1/6 (/ 1 e)) 2/3)))) |
(*.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 2/3 binary64))) (neg.f64 v)) |
(* -1 (* v (- (* 1/6 (/ 1 e)) 2/3))) |
(*.f64 (neg.f64 v) (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 2/3 binary64))) |
(* -1 (* (pow v 3) (+ (* -2/3 e) (/ e (pow v 2))))) |
(*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 #s(literal -2/3 binary64) e (/.f64 e (*.f64 v v)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 524 |
| 0 | 107 | 524 |
| 1 | 344 | 496 |
| 2 | 2287 | 496 |
| 0 | 8081 | 479 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) e) |
(/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) |
(sin.f64 v) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 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)) |
(*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
#s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
(*.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 (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e))) |
#s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e) |
(*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e) |
(fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))) |
(*.f64 e (sin.f64 v)) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)) |
(-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) |
(*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e))) |
#s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) |
(*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))) e) |
(*.f64 e (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))) |
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (neg.f64 #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))))) |
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (neg.f64 #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 v)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))) |
(/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))) |
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))))) |
(sin.f64 v) |
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
(*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
(*.f64 v #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e))) |
#s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))))) (/.f64 e (fma.f64 e (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) e)) |
(*.f64 (/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (fma.f64 e (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) e) e) |
(*.f64 e (-.f64 #s(literal 1 binary64) e)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) e)) (+.f64 (neg.f64 e) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))) e)) (neg.f64 (fma.f64 e (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 (neg.f64 e) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))))) (neg.f64 (fma.f64 e (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) e) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))) e) (fma.f64 e (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) (+.f64 e #s(literal 1 binary64))) |
(/.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64)))) (fma.f64 e (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e) e))) |
#s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e) e)) |
(*.f64 (*.f64 e (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64))) (*.f64 e v)) |
(*.f64 (*.f64 e e) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v)) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e) e) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) (*.f64 e e)) |
(*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 (*.f64 e v) e)) |
(*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v (*.f64 e e))) |
(*.f64 e (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e)) |
(*.f64 v (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 e e))) |
(*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e) |
(*.f64 e (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 4/9 binary64) (*.f64 v v))) e)) (neg.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal -2/3 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 v e) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (*.f64 #s(literal 2/3 binary64) v) #s(literal 3 binary64))) e)) (neg.f64 (fma.f64 (pow.f64 (/.f64 v e) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) v) (-.f64 (*.f64 #s(literal 2/3 binary64) v) (*.f64 (/.f64 v e) #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (*.f64 e (-.f64 (pow.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 4/9 binary64) (*.f64 v v))))) (neg.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal -2/3 binary64) v)))) |
(/.f64 (neg.f64 (*.f64 e (fma.f64 (pow.f64 (/.f64 v e) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (*.f64 #s(literal 2/3 binary64) v) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 v e) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) v) (-.f64 (*.f64 #s(literal 2/3 binary64) v) (*.f64 (/.f64 v e) #s(literal -1/6 binary64))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 4/9 binary64) (*.f64 v v))) e) (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal -2/3 binary64) v))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 v e) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (*.f64 #s(literal 2/3 binary64) v) #s(literal 3 binary64))) e) (fma.f64 (pow.f64 (/.f64 v e) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) v) (-.f64 (*.f64 #s(literal 2/3 binary64) v) (*.f64 (/.f64 v e) #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 e (-.f64 (pow.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 4/9 binary64) (*.f64 v v)))) (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal -2/3 binary64) v))) |
(/.f64 (*.f64 e (fma.f64 (pow.f64 (/.f64 v e) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (*.f64 #s(literal 2/3 binary64) v) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 v e) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) v) (-.f64 (*.f64 #s(literal 2/3 binary64) v) (*.f64 (/.f64 v e) #s(literal -1/6 binary64)))))) |
(fma.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) e (*.f64 (*.f64 #s(literal 2/3 binary64) v) e)) |
(fma.f64 (*.f64 #s(literal 2/3 binary64) v) e (*.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) e)) |
(fma.f64 e (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) (*.f64 e (*.f64 #s(literal 2/3 binary64) v))) |
(fma.f64 e (*.f64 #s(literal 2/3 binary64) v) (*.f64 e (*.f64 (/.f64 v e) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) e) (*.f64 (*.f64 #s(literal 2/3 binary64) v) e)) |
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) v) e) (*.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) e)) |
(+.f64 (*.f64 e (*.f64 (/.f64 v e) #s(literal -1/6 binary64))) (*.f64 e (*.f64 #s(literal 2/3 binary64) v))) |
(+.f64 (*.f64 e (*.f64 #s(literal 2/3 binary64) v)) (*.f64 e (*.f64 (/.f64 v e) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2/3 binary64) v) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal -2/3 binary64) v)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 v v)) (pow.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) v) (*.f64 (/.f64 v e) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -8/27 binary64) (pow.f64 v #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 v e) #s(literal 2 binary64)) #s(literal 1/36 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -2/3 binary64) v) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) (*.f64 #s(literal -2/3 binary64) v)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 4/9 binary64) (*.f64 v v))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal -2/3 binary64) v))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 v e) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (*.f64 #s(literal 2/3 binary64) v) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 v e) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) v) (-.f64 (*.f64 #s(literal 2/3 binary64) v) (*.f64 (/.f64 v e) #s(literal -1/6 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal -2/3 binary64) v))) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal -2/3 binary64) v)) (*.f64 #s(literal 4/9 binary64) (*.f64 v v)))) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal -2/3 binary64) v)) (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal -2/3 binary64) v)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 v e) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) v) (-.f64 (*.f64 #s(literal 2/3 binary64) v) (*.f64 (/.f64 v e) #s(literal -1/6 binary64))))) (*.f64 (fma.f64 (pow.f64 (/.f64 v e) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) v) (-.f64 (*.f64 #s(literal 2/3 binary64) v) (*.f64 (/.f64 v e) #s(literal -1/6 binary64))))) (pow.f64 (*.f64 #s(literal 2/3 binary64) v) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 v e) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) v) (-.f64 (*.f64 #s(literal 2/3 binary64) v) (*.f64 (/.f64 v e) #s(literal -1/6 binary64))))) (fma.f64 (pow.f64 (/.f64 v e) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) v) (-.f64 (*.f64 #s(literal 2/3 binary64) v) (*.f64 (/.f64 v e) #s(literal -1/6 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2/3 binary64) v) #s(literal 2 binary64))) (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal -2/3 binary64) v))) |
(/.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 v v)) (pow.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2/3 binary64) v) (*.f64 (/.f64 v e) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -8/27 binary64) (pow.f64 v #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 v e) #s(literal 2 binary64)) #s(literal 1/36 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -2/3 binary64) v) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 v e) #s(literal -1/6 binary64)) (*.f64 #s(literal -2/3 binary64) v))))) |
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(-.f64 (*.f64 (*.f64 (*.f64 e v) v) #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) e)) (*.f64 e v))) |
(-.f64 (*.f64 (*.f64 (*.f64 e v) v) #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e))) (*.f64 (neg.f64 (*.f64 e v)) (-.f64 #s(literal 1 binary64) e))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 e v) v) #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 e v) v) #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 e v) v) #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 e v) v) #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 e v) v) #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)))))) |
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) (*.f64 (*.f64 (*.f64 e v) v) #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)))) |
(+.f64 (*.f64 (*.f64 (*.f64 e v) v) #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)) |
#s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) |
(*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)) |
(*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) |
(*.f64 e (neg.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))) |
(neg.f64 (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) e)) |
Compiled 16 568 to 1 764 computations (89.4% saved)
35 alts after pruning (27 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 305 | 9 | 314 |
| Fresh | 4 | 18 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 312 | 35 | 347 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ✓ | 99.4% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| 34.4% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (neg.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) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))))) | |
| ✓ | 97.8% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))) |
| 99.3% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)))))) | |
| 99.7% | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))) e) | |
| 99.2% | (*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 (neg.f64 (cos.f64 v)) (*.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))) (neg.f64 e)))) e) | |
| 50.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) | |
| 93.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v))) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))) (-.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))) e)) | |
| ✓ | 50.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| ✓ | 98.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
| 98.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) | |
| 98.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) e)) | |
| ✓ | 98.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| ✓ | 49.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
| 49.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v)) | |
| 26.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v)) | |
| 49.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 98.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) e)) e)) | |
| ✓ | 49.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 49.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)))) | |
| 60.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64))) (*.f64 e e)) (-.f64 (*.f64 (neg.f64 (sin.f64 v)) (cos.f64 v)) (/.f64 (sin.f64 v) e))))) | |
| 64.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (neg.f64 (sin.f64 v)) (cos.f64 v)))) (*.f64 e e)))) | |
| 49.4% | #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 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) e))) | |
| 49.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 #s(approx (+ (* (/ v e) -1/6) (* 2/3 v)) (*.f64 (/.f64 v e) #s(literal -1/6 binary64))) e)) v (-.f64 #s(literal 1 binary64) e))))) | |
| 70.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) | |
| 42.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (*.f64 e e)))) | |
| 49.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) e) e)))) | |
| 25.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v (*.f64 e e)))))) | |
| 25.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) e) v) e)))) | |
| 25.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 #s(approx (* (* (- (* (* v v) 2/3) 1) v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 2/3 binary64) (neg.f64 e)) v)) e)))) | |
| 26.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 #s(approx (* (* (- (* (* v v) 2/3) 1) v) e) (*.f64 (neg.f64 v) e)) e)))) | |
| 49.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.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))) | |
| 49.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
Compiled 3 316 to 1 208 computations (63.6% 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 (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 #s(approx (* (* (- (* (* v v) 2/3) 1) v) e) (*.f64 (neg.f64 v) e)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v)) |
#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)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #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 e v) (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) 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) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 #s(approx (* (* (- (* (* v v) 2/3) 1) v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 2/3 binary64) (neg.f64 e)) v)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #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) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v (*.f64 e e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (*.f64 e e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) 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 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.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) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.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))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 #s(approx (+ (* (/ v e) -1/6) (* 2/3 v)) (*.f64 (/.f64 v e) #s(literal -1/6 binary64))) e)) 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) (fma.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) 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) #s(approx (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (*.f64 (*.f64 (*.f64 e e) v) (fma.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.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) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#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 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)))))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.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 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) e)) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))) e) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 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 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) e)) e)) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))) e) |
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 (neg.f64 (cos.f64 v)) (*.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))) (neg.f64 e)))) e) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #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 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (neg.f64 (sin.f64 v)) (cos.f64 v)))) (*.f64 e e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64))) (*.f64 e e)) (-.f64 (*.f64 (neg.f64 (sin.f64 v)) (cos.f64 v)) (/.f64 (sin.f64 v) e))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (neg.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) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v))) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))) (-.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v))) (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))))) e)) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
3 calls:
| 15.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 13.0ms | v |
| 12.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 99.8% | 1 | e |
| 99.8% | 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 (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 #s(approx (* (* (- (* (* v v) 2/3) 1) v) e) (*.f64 (neg.f64 v) e)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v)) |
#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)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #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 e v) (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) 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) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 #s(approx (* (* (- (* (* v v) 2/3) 1) v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 2/3 binary64) (neg.f64 e)) v)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #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) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v (*.f64 e e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (*.f64 e e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) 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 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.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) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.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))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 #s(approx (+ (* (/ v e) -1/6) (* 2/3 v)) (*.f64 (/.f64 v e) #s(literal -1/6 binary64))) e)) 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) (fma.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) 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) #s(approx (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (*.f64 (*.f64 (*.f64 e e) v) (fma.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.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) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#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 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)))))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (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:
| 41.0ms | v |
| 36.0ms | e |
| 28.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 99.4% | 1 | e |
| 99.4% | 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 (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 #s(approx (* (* (- (* (* v v) 2/3) 1) v) e) (*.f64 (neg.f64 v) e)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v)) |
#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)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #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 e v) (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) 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) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 #s(approx (* (* (- (* (* v v) 2/3) 1) v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 2/3 binary64) (neg.f64 e)) v)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #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) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v (*.f64 e e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (*.f64 e e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) 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 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.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) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.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))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 #s(approx (+ (* (/ v e) -1/6) (* 2/3 v)) (*.f64 (/.f64 v e) #s(literal -1/6 binary64))) e)) 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) (fma.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) 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) #s(approx (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (*.f64 (*.f64 (*.f64 e e) v) (fma.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.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) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#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 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) |
3 calls:
| 19.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 13.0ms | e |
| 8.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 98.4% | 1 | e |
| 98.4% | 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 (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 #s(approx (* (* (- (* (* v v) 2/3) 1) v) e) (*.f64 (neg.f64 v) e)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v)) |
#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)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #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 e v) (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) 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) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 #s(approx (* (* (- (* (* v v) 2/3) 1) v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 2/3 binary64) (neg.f64 e)) v)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #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) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v (*.f64 e e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (*.f64 e e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) 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 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.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) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.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))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 #s(approx (+ (* (/ v e) -1/6) (* 2/3 v)) (*.f64 (/.f64 v e) #s(literal -1/6 binary64))) e)) 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) (fma.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) 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) #s(approx (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (*.f64 (*.f64 (*.f64 e e) v) (fma.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.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) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
3 calls:
| 27.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 10.0ms | e |
| 8.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 98.0% | 1 | e |
| 98.0% | 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 (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 #s(approx (* (* (- (* (* v v) 2/3) 1) v) e) (*.f64 (neg.f64 v) e)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v)) |
#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)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #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 e v) (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) 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) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 #s(approx (* (* (- (* (* v v) 2/3) 1) v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 2/3 binary64) (neg.f64 e)) v)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #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) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v (*.f64 e e)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) e) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (*.f64 e e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) 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 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.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) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.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))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 #s(approx (+ (* (/ v e) -1/6) (* 2/3 v)) (*.f64 (/.f64 v e) #s(literal -1/6 binary64))) e)) 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) (fma.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) 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) #s(approx (* (+ (* (neg (sin v)) (cos v)) (/ (sin v) e)) (* e e)) (*.f64 (*.f64 (*.f64 e e) v) (fma.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.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) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
3 calls:
| 9.0ms | e |
| 7.0ms | v |
| 7.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 50.8% | 1 | e |
| 50.8% | 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 (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 #s(approx (* (* (- (* (* v v) 2/3) 1) v) e) (*.f64 (neg.f64 v) e)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v)) |
#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)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
3 calls:
| 2.0ms | v |
| 2.0ms | e |
| 2.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 49.8% | 1 | e |
| 49.8% | 1 | v |
Compiled 13 to 13 computations (0% saved)
Total -15.7b remaining (-48.4%)
Threshold costs -15.7b (-48.4%)
| 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 (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e))) (*.f64 #s(approx (* (* (- (* (* v v) 2/3) 1) v) e) (*.f64 (neg.f64 v) e)) e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (* (- 1 e) e) (*.f64 (neg.f64 e) e))) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
3 calls:
| 3.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 1.0ms | v |
| 1.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.3% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 49.3% | 1 | e |
| 49.3% | 1 | v |
Compiled 13 to 13 computations (0% saved)
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 136 |
| 1 | 64 | 135 |
| 2 | 93 | 135 |
| 3 | 137 | 135 |
| 4 | 249 | 135 |
| 5 | 552 | 135 |
| 6 | 1279 | 135 |
| 7 | 2797 | 135 |
| 8 | 7067 | 135 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.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 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) |
#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)))) (*.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 e v))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.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 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) |
#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)))) (*.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 e v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 0 | 15 | 29 |
| 1 | 49 | 29 |
| 2 | 256 | 29 |
| 3 | 2195 | 29 |
| 0 | 9771 | 27 |
| 0 | 555 | 3034 |
| 1 | 1973 | 2905 |
| 2 | 7537 | 2832 |
| 0 | 8310 | 2676 |
| 0 | 195 | 841 |
| 1 | 643 | 829 |
| 2 | 2192 | 788 |
| 3 | 7356 | 761 |
| 0 | 8175 | 705 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 136 to 41 computations (69.9% saved)
(negabs v)
Compiled 314 to 116 computations (63.1% saved)
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