Trigonometry A
Time bar (total: 5.8s)
| 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)
| 1.0s | 8 256× | 0 | valid |
ival-sin: 215.0ms (29.3% of total)ival-cos: 180.0ms (24.5% of total)ival-mult: 112.0ms (15.3% of total)ival-<=: 107.0ms (14.6% of total)ival-div: 55.0ms (7.5% of total)ival-add: 40.0ms (5.4% of total)ival-and: 11.0ms (1.5% of total)exact: 9.0ms (1.2% of total)ival-assert: 3.0ms (0.4% of total)adjust: 2.0ms (0.3% 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 |
| 52.0ms | 512× | 0 | valid |
Compiled 79 to 31 computations (60.8% saved)
ival-sin: 10.0ms (30.8% of total)ival-cos: 10.0ms (30.8% of total)ival-mult: 6.0ms (18.5% of total)ival-div: 3.0ms (9.2% of total)ival-add: 2.0ms (6.2% 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)| 1× | egg-herbie |
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)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 e (sin.f64 v)) | |
| cost-diff | 0 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| cost-diff | 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 | 0.00390625 | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) | |
| accuracy | 0.01171875 | (/.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 | 0.109375 | (*.f64 e (cos.f64 v)) |
| 48.0ms | 256× | 0 | valid |
Compiled 34 to 11 computations (67.6% saved)
ival-cos: 29.0ms (71.3% of total)ival-sin: 5.0ms (12.3% of total)ival-mult: 3.0ms (7.4% of total)ival-div: 1.0ms (2.5% of total)ival-add: 1.0ms (2.5% 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)) |
| 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)))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(sin v) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | v | @ | -inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (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))) |
| 2.0ms | e | @ | -inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (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))) |
| 2.0ms | e | @ | inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 800 |
| 1 | 606 | 788 |
| 2 | 2097 | 747 |
| 3 | 7186 | 720 |
| 0 | 8180 | 668 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* e (cos v))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(sin 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 (sin.f64 v) e) (neg.f64 (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 (sin.f64 v) (/.f64 (/.f64 (neg.f64 (sin.f64 v)) e) (cos.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 (sin.f64 v) (/.f64 (/.f64 (neg.f64 (sin.f64 v)) e) (cos.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 #s(literal 1/24 binary64) (*.f64 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 #s(literal 1/24 binary64) (*.f64 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)) |
(/ (* 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 0 | 15 | 27 |
| 1 | 49 | 27 |
| 2 | 256 | 27 |
| 3 | 2195 | 27 |
| 0 | 9771 | 25 |
| 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)) |
| 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))))) |
(/.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 (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))) |
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(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (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 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.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))))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.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)))) (neg.f64 (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 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (neg.f64 (*.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 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.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))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (+.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)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 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 (*.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #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 (sin.f64 v) (/.f64 e (-.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 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 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 (sin.f64 v) e) (+.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))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 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 (*.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))) |
(neg.f64 (*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #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))) (*.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))) |
(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))))) |
(fma.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (*.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 3 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (*.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))))) (*.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 3 binary64))))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))))) (*.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (neg.f64 e) (cos.f64 v)))) |
(+.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #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)))) (*.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 (*.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))))) |
(*.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)))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 e))) (fabs.f64 (cos.f64 v))) |
(*.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v))) (fabs.f64 e)) |
(*.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) e)) (fabs.f64 (cos.f64 v))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (neg.f64 e))) (sqrt.f64 (cos.f64 v))) |
(*.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))))) |
(*.f64 (sqrt.f64 (*.f64 (cos.f64 v) e)) (sqrt.f64 (*.f64 (cos.f64 v) e))) |
(*.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)))) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64))) |
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (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) |
(*.f64 e (cos.f64 v)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(pow.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64)) |
(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)) |
(neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) |
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) e (*.f64 (cos.f64 v) e)) |
(fma.f64 e (*.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 (cos.f64 v) e)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (neg.f64 e) (cos.f64 v))) |
(fabs.f64 (*.f64 (cos.f64 v) e)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 v) e))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 v) e))) (sinh.f64 (log.f64 (*.f64 (cos.f64 v) e)))) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) e) (*.f64 (cos.f64 v) e)) |
(+.f64 (*.f64 e (*.f64 #s(literal 0 binary64) (sin.f64 v))) (*.f64 (cos.f64 v) e)) |
Compiled 9 757 to 1 104 computations (88.7% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 313 | 9 | 322 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 314 | 9 | 323 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| 99.3% | (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e) #s(literal 1 binary64))) | |
| ▶ | 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.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)))) |
| ▶ | 98.6% | (/.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))))) |
| 55.1% | (/.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)))) | |
| ▶ | 55.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| ▶ | 98.6% | #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)) |
| 97.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
Compiled 326 to 242 computations (25.8% saved)
| 1× | egg-herbie |
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 e (sin.f64 v)) | |
| cost-diff | 0 | (/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.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)))) | |
| cost-diff | 10 | (/.f64 (-.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 | 36 | 278 |
| 0 | 59 | 278 |
| 1 | 104 | 278 |
| 2 | 193 | 278 |
| 3 | 450 | 262 |
| 4 | 1362 | 260 |
| 5 | 4000 | 260 |
| 0 | 8218 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.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 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(/.f64 (-.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 (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 e (sin.f64 v)) (/.f64 (-.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 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
e |
(sin.f64 v) |
v |
(/.f64 (-.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))) |
(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)) |
(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 (*.f64 (sin.f64 v) e) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
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)) |
(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 (sin.f64 v) e) #s(approx (+ 1 (* e (cos v))) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
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 (-.f64 (neg.f64 (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 (-.f64 (neg.f64 (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)) |
(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 | 0.01171875 | (/.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 | 0.140625 | (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) | |
| accuracy | 0.8012272812366095 | #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 | 0.01171875 | (/.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 | 0.8136521108870174 | #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) e) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) | |
| accuracy | 0.01953125 | (/.f64 e (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 28.376900827512284 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) | |
| accuracy | 0.0234375 | (/.f64 (-.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 e (sin.f64 v)) | |
| accuracy | 0.109375 | (*.f64 (cos.f64 v) e) | |
| accuracy | 0.15853500976844204 | (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) |
| 134.0ms | 256× | 0 | valid |
Compiled 233 to 30 computations (87.1% saved)
ival-sub: 42.0ms (36.4% of total)ival-mult: 25.0ms (21.7% of total)ival-neg: 21.0ms (18.2% of total)ival-cos: 8.0ms (6.9% of total)ival-div: 7.0ms (6.1% of total)ival-sin: 6.0ms (5.2% of total)ival-add: 3.0ms (2.6% of total)ival-pow2: 2.0ms (1.7% 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 (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 (sin.f64 v)) (/.f64 (-.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 e (sin.f64 v)) |
(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))) |
#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) |
(cos.f64 v) |
(*.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 |
|---|
1 |
(+ 1 (* e (cos v))) |
(* 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))))))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
e |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
(+ 1 e) |
(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) |
(* 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) (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))) |
(* -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 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(/ (- (pow e 2) 1) (- e 1)) |
(- (+ (* (pow v 2) (- (* -1 (/ (pow e 2) (- e 1))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (/ (pow e 2) (- e 1))) (/ 1 (- e 1))) |
(- (+ (* (pow v 2) (- (+ (* -1 (/ (pow e 2) (- e 1))) (* (pow v 2) (- (* 1/3 (/ (pow e 2) (- e 1))) (+ (* -1/2 (/ (* e (- (* -1 (/ (pow e 2) (- e 1))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (/ (pow e 2) (- e 1))) (/ 1 (- e 1))) |
(- (+ (* (pow v 2) (- (+ (* -1 (/ (pow e 2) (- e 1))) (* (pow v 2) (- (+ (* 1/3 (/ (pow e 2) (- e 1))) (* (pow v 2) (- (* -2/45 (/ (pow e 2) (- e 1))) (+ (* -1/2 (/ (* e (- (* 1/3 (/ (pow e 2) (- e 1))) (+ (* -1/2 (/ (* e (- (* -1 (/ (pow e 2) (- e 1))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2)))))) (- e 1))) (+ (* -1/720 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))) (* 1/24 (/ (* e (- (* -1 (/ (pow e 2) (- e 1))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (- e 1)))))))) (+ (* -1/2 (/ (* e (- (* -1 (/ (pow e 2) (- e 1))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (/ (pow e 2) (- e 1))) (/ 1 (- e 1))) |
(/ (* 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)))) |
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(* 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)))) |
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(+ 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 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(+ (* -1/2 (* 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))) |
(/ (- (* (pow e 2) (pow (cos v) 2)) 1) (- (* e (cos v)) 1)) |
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (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))))) |
(cos v) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | e | @ | 0 | ((/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1)) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (* e (sin v)) (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)))) (+ 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) (cos v) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e))) |
| 9.0ms | v | @ | 0 | ((/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1)) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (* e (sin v)) (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)))) (+ 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) (cos v) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e))) |
| 6.0ms | v | @ | -inf | ((/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1)) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (* e (sin v)) (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)))) (+ 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) (cos v) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e))) |
| 5.0ms | v | @ | inf | ((/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1)) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (* e (sin v)) (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)))) (+ 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) (cos v) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e))) |
| 4.0ms | e | @ | -inf | ((/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1)) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (* e (sin v)) (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)))) (+ 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) (cos v) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 511 | 2766 |
| 1 | 1797 | 2657 |
| 2 | 6829 | 2599 |
| 0 | 8348 | 2441 |
| 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 (+ (* -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))))))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
e |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
(+ 1 e) |
(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) |
(* 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) (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))) |
(* -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 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(/ (- (pow e 2) 1) (- e 1)) |
(- (+ (* (pow v 2) (- (* -1 (/ (pow e 2) (- e 1))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (/ (pow e 2) (- e 1))) (/ 1 (- e 1))) |
(- (+ (* (pow v 2) (- (+ (* -1 (/ (pow e 2) (- e 1))) (* (pow v 2) (- (* 1/3 (/ (pow e 2) (- e 1))) (+ (* -1/2 (/ (* e (- (* -1 (/ (pow e 2) (- e 1))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (/ (pow e 2) (- e 1))) (/ 1 (- e 1))) |
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(/ (* 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)))) |
(* 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 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(+ (* -1/2 (* 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))) |
(/ (- (* (pow e 2) (pow (cos v) 2)) 1) (- (* e (cos v)) 1)) |
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (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))))) |
(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 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 (sin.f64 v)) (cos.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 (+ (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) (-.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) |
(* 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) |
(+ 1 e) |
(+.f64 #s(literal 1 binary64) 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)) |
(+ 1 (* -1 (* e (cos v)))) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(* (pow e 2) (pow (cos v) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) 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 (+ (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))) |
(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))) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (cos.f64 v))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(- (+ (* -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))))) |
(+.f64 (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 (sin.f64 v) (cos.f64 v))) (/.f64 (fma.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (cos.f64 v))) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(-.f64 (/.f64 (+.f64 (/.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))) |
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)) |
(* e (+ 1 (/ 1 e))) |
(+.f64 #s(literal 1 binary64) 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)) |
(* -1 (* e (* (cos v) (sin v)))) |
(*.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v))) |
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e) |
(* -1 (* e (cos v))) |
(*.f64 (neg.f64 e) (cos.f64 v)) |
(* e (+ (* -1 (cos v)) (/ 1 e))) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(* -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 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 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))) |
(+ 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 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(*.f64 (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) (neg.f64 e))) (neg.f64 e)) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)) |
(/ (- (pow e 2) 1) (- e 1)) |
(/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))) |
(- (+ (* (pow v 2) (- (* -1 (/ (pow e 2) (- e 1))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (/ (pow e 2) (- e 1))) (/ 1 (- e 1))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (pow.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 e) e) (-.f64 e #s(literal 1 binary64)))) (*.f64 v v) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))) |
(- (+ (* (pow v 2) (- (+ (* -1 (/ (pow e 2) (- e 1))) (* (pow v 2) (- (* 1/3 (/ (pow e 2) (- e 1))) (+ (* -1/2 (/ (* e (- (* -1 (/ (pow e 2) (- e 1))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (/ (pow e 2) (- e 1))) (/ 1 (- e 1))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 e e) (/.f64 #s(literal 1/3 binary64) (-.f64 e #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (pow.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 e) e) (-.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) e)) (-.f64 e #s(literal 1 binary64)))) (-.f64 e #s(literal 1 binary64)))) (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (pow.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 e) e) (-.f64 e #s(literal 1 binary64))))) (*.f64 v v) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))) |
(- (+ (* (pow v 2) (- (+ (* -1 (/ (pow e 2) (- e 1))) (* (pow v 2) (- (+ (* 1/3 (/ (pow e 2) (- e 1))) (* (pow v 2) (- (* -2/45 (/ (pow e 2) (- e 1))) (+ (* -1/2 (/ (* e (- (* 1/3 (/ (pow e 2) (- e 1))) (+ (* -1/2 (/ (* e (- (* -1 (/ (pow e 2) (- e 1))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2)))))) (- e 1))) (+ (* -1/720 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))) (* 1/24 (/ (* e (- (* -1 (/ (pow e 2) (- e 1))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (- e 1)))))))) (+ (* -1/2 (/ (* e (- (* -1 (/ (pow e 2) (- e 1))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))))) (* -1/2 (/ (* e (- (pow e 2) 1)) (pow (- e 1) 2))))) (/ (pow e 2) (- e 1))) (/ 1 (- e 1))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 e e)) (-.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal -1/720 binary64) e) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (pow.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (pow.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 e) e) (-.f64 e #s(literal 1 binary64))))) e (*.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 (*.f64 (*.f64 e e) (/.f64 #s(literal 1/3 binary64) (-.f64 e #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (pow.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 e) e) (-.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) e)) (-.f64 e #s(literal 1 binary64)))) (-.f64 e #s(literal 1 binary64)))))) (-.f64 e #s(literal 1 binary64))))) (*.f64 v v) (-.f64 (*.f64 (*.f64 e e) (/.f64 #s(literal 1/3 binary64) (-.f64 e #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (pow.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 e) e) (-.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) e)) (-.f64 e #s(literal 1 binary64)))) (-.f64 e #s(literal 1 binary64))))) (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (pow.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 e) e) (-.f64 e #s(literal 1 binary64))))) (*.f64 v v) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))) |
(/ (* e (* v (- e 1))) (- (pow e 2) 1)) |
(*.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) v) (/.f64 e (-.f64 (*.f64 e e) #s(literal 1 binary64)))) |
(* 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)))) |
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(* 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)))) |
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(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)) |
(+ (* -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))) |
(/ (- (* (pow e 2) (pow (cos v) 2)) 1) (- (* e (cos v)) 1)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64)) (-.f64 (*.f64 (cos.f64 v) 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)) (+ 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)) |
(cos v) |
(cos.f64 v) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 217 |
| 0 | 59 | 226 |
| 1 | 200 | 199 |
| 2 | 1170 | 199 |
| 0 | 8469 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.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 (sin.f64 v)) (/.f64 (-.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 e (sin.f64 v)) |
(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))) |
#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) |
(cos.f64 v) |
(*.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 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))) (/.f64 (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (-.f64 (pow.f64 (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v)) (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (+.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (+.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))) (*.f64 (pow.f64 (+.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal -1 binary64)))) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v)) (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v)) (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (+.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (+.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (+.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (+.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (*.f64 e (cos.f64 v)))))) |
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(-.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 (*.f64 (neg.f64 (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -1 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))) |
Compiled 22 454 to 2 853 computations (87.3% saved)
26 alts after pruning (22 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 663 | 20 | 683 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 666 | 26 | 692 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 99.3% | (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e) #s(literal 1 binary64))) | |
| ✓ | 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.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)))) |
| ✓ | 98.6% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| 71.6% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.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))))))) | |
| 26.0% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.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))))))))) | |
| 97.5% | (/.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))))) | |
| 55.0% | (/.f64 #s(approx (* e (sin v)) (*.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 (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) | |
| ▶ | 55.1% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| 98.6% | #s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) | |
| ▶ | 97.6% | #s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (sin.f64 v) e)) |
| 92.0% | #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)) | |
| 55.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e))) | |
| ✓ | 55.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| ✓ | 98.6% | #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 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) | |
| 98.5% | #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)) | |
| 2.6% | #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)) | |
| 55.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 54.4% | #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)) | |
| 54.5% | #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)) | |
| 98.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)) e)) | |
| 2.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) | |
| ▶ | 54.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| ▶ | 71.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) |
| 54.6% | #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 1 577 to 960 computations (39.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) | |
| cost-diff | 1 | (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 (sin.f64 v) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (sin.f64 v) e)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) | |
| cost-diff | 0 | #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) | |
| cost-diff | 0 | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) | |
| cost-diff | 2 | (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) | |
| 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 | 49 | 290 |
| 0 | 71 | 286 |
| 1 | 133 | 284 |
| 2 | 297 | 284 |
| 3 | 945 | 271 |
| 4 | 2883 | 267 |
| 5 | 6431 | 267 |
| 0 | 8103 | 264 |
| 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 |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) |
(*.f64 (*.f64 v v) e) |
(*.f64 v v) |
v |
e |
#s(literal -1/6 binary64) |
#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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.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 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) |
(-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) |
(/.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
(*.f64 (cos.f64 v) (sin.f64 v)) |
(cos.f64 v) |
(*.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 |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 e (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) |
#s(approx (* e (sin v)) (*.f64 e (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) |
(*.f64 e (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v)) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) |
(*.f64 (*.f64 v v) e) |
(*.f64 v v) |
v |
e |
#s(literal -1/6 binary64) |
#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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.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 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.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 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 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.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 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) |
(*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) |
(-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) |
(*.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) |
(/.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
(*.f64 (cos.f64 v) (sin.f64 v)) |
(cos.f64 v) |
(*.f64 e e) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (/.f64 (sin.f64 v) e) | |
| accuracy | 0.171875 | (*.f64 (cos.f64 v) (sin.f64 v)) | |
| accuracy | 0.8012272812366095 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) | |
| accuracy | 17.58865987377626 | (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.1015625 | (*.f64 (sin.f64 v) e) | |
| accuracy | 1.4431189718477366 | #s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (sin.f64 v) e)) | |
| accuracy | 0.1328125 | (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) | |
| accuracy | 0.8136521108870174 | #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 5.6748246356648755 | (*.f64 (*.f64 v v) e) | |
| accuracy | 28.7420642616995 | #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) | |
| accuracy | 0.0 | (*.f64 e v) | |
| accuracy | 1.4665761825887702 | #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) | |
| accuracy | 28.376900827512284 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.00390625 | (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.1015625 | (*.f64 (sin.f64 v) e) |
| 74.0ms | 256× | 0 | valid |
Compiled 202 to 40 computations (80.2% saved)
ival-mult: 22.0ms (38.4% of total)ival-div: 8.0ms (14% of total)ival-sin: 7.0ms (12.2% of total)ival-add: 5.0ms (8.7% of total)ival-cos: 4.0ms (7% of total)const: 4.0ms (7% of total)ival-sub: 3.0ms (5.2% of total)ival-pow2: 2.0ms (3.5% of total)ival-neg: 1.0ms (1.7% 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) 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) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) |
#s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (sin.f64 v) e)) |
(-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) |
(cos.f64 v) |
(*.f64 (*.f64 v v) e) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 (cos.f64 v) (sin.f64 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)))) |
(* e (* v (+ 1 (* -1/6 (pow v 2))))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(* 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))))))))) |
(/ (sin v) e) |
(/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) e) |
(* e (pow v 2)) |
(/ (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))) |
(+ (* -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))))) |
(* -1 (* (cos v) (sin v))) |
(- (/ (sin v) e) (* (cos v) (sin v))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) 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 (cos v)) (/ 1 e)))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1)))) |
(* -1 (* e (- (* 1/6 (pow v 2)) 1))) |
(/ (* 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 |
(+ e (* -1/6 (* e (pow v 2)))) |
(/ (* 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)))) |
(* 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)) |
(* 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)))))))))))) |
(* (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 (* -2/3 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/15 (* -4/315 (pow v 2)))) 2/3)))) |
(/ 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) |
(* -1/6 (* e (pow v 3))) |
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2)))) |
(* -1/6 (* e (pow v 2))) |
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2)))) |
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (pow (cos v) 2)) 1)) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (pow e 2) (- (/ (sin v) e) (* (cos v) (sin v)))) |
(cos v) |
(* (cos v) (sin v)) |
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e)))) |
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) (* (+ (* (* (* v v) e) -1/6) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (* (* v v) e) -1/6) e) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (- (/ (sin v) e) (* (cos v) (sin v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- (/ (sin v) e) (* (cos v) (sin v))) (* e e)) (cos v) (* (* v v) e) (+ 1 (* e (cos v))) (* (cos v) (sin v)) (/ (sin v) e)) |
| 9.0ms | 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) (* (+ (* (* (* v v) e) -1/6) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (* (* v v) e) -1/6) e) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (- (/ (sin v) e) (* (cos v) (sin v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- (/ (sin v) e) (* (cos v) (sin v))) (* e e)) (cos v) (* (* v v) e) (+ 1 (* e (cos v))) (* (cos v) (sin 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) (* (+ (* (* (* v v) e) -1/6) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (* (* v v) e) -1/6) e) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (- (/ (sin v) e) (* (cos v) (sin v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- (/ (sin v) e) (* (cos v) (sin v))) (* e e)) (cos v) (* (* v v) e) (+ 1 (* e (cos v))) (* (cos v) (sin v)) (/ (sin v) e)) |
| 3.0ms | 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) (* (+ (* (* (* v v) e) -1/6) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (* (* v v) e) -1/6) e) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (- (/ (sin v) e) (* (cos v) (sin v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- (/ (sin v) e) (* (cos v) (sin v))) (* e e)) (cos v) (* (* v v) e) (+ 1 (* e (cos v))) (* (cos v) (sin v)) (/ (sin v) e)) |
| 3.0ms | e | @ | 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) (* (+ (* (* (* v v) e) -1/6) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (* (* v v) e) -1/6) e) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (- (/ (sin v) e) (* (cos v) (sin v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- (/ (sin v) e) (* (cos v) (sin v))) (* e e)) (cos v) (* (* v v) e) (+ 1 (* e (cos v))) (* (cos v) (sin v)) (/ (sin v) e)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 476 | 2217 |
| 1 | 1658 | 2123 |
| 2 | 6200 | 2072 |
| 0 | 8389 | 1919 |
| 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)))) |
(* e (* v (+ 1 (* -1/6 (pow v 2))))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(* 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))))))))) |
(/ (sin v) e) |
(/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) e) |
(* e (pow v 2)) |
(/ (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))) |
(+ (* -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))))) |
(* -1 (* (cos v) (sin v))) |
(- (/ (sin v) e) (* (cos v) (sin v))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) 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 (cos v)) (/ 1 e)))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1)))) |
(* -1 (* e (- (* 1/6 (pow v 2)) 1))) |
(/ (* 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 |
(+ e (* -1/6 (* e (pow v 2)))) |
(/ (* 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)))) |
(* 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)) |
(* 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)))))))))))) |
(* (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 (* -2/3 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/15 (* -4/315 (pow v 2)))) 2/3)))) |
(/ 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) |
(* -1/6 (* e (pow v 3))) |
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2)))) |
(* -1/6 (* e (pow v 2))) |
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2)))) |
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (pow (cos v) 2)) 1)) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (pow e 2) (- (/ (sin v) e) (* (cos v) (sin v)))) |
(cos v) |
(* (cos v) (sin v)) |
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e)))) |
| Outputs |
|---|
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v)) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.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)) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e) |
1 |
#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 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) v) e v) 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 (+ 1 (* -1/6 (pow v 2)))) |
(*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) |
(* 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 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.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)) e (sin.f64 v)) e) |
(/ (sin v) e) |
(/.f64 (sin.f64 v) e) |
(/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) e) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)) e) |
(* e (pow v 2)) |
(*.f64 (*.f64 v 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 (/.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)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))) |
(+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (cos.f64 v)) (/.f64 (neg.f64 (sin.f64 v)) e)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(- (+ (* -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))))) |
(+.f64 (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 (sin.f64 v) (cos.f64 v))) (/.f64 (fma.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (cos.f64 v))) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(* -1 (* (cos v) (sin v))) |
(*.f64 (neg.f64 (sin.f64 v)) (cos.f64 v)) |
(- (/ (sin v) e) (* (cos v) (sin v))) |
(-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) |
(* -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)) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (cos.f64 v)) (/.f64 (neg.f64 (sin.f64 v)) e)) (pow.f64 (cos.f64 v) #s(literal 2 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 (* v (- (* 1/6 (pow v 2)) 1)))) |
(*.f64 (neg.f64 e) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal 1 binary64)) v)) |
(* -1 (* e (- (* 1/6 (pow v 2)) 1))) |
(*.f64 (neg.f64 e) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #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 (/.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 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) e) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) e) (*.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 #s(literal -1/5040 binary64) (*.f64 (*.f64 v v) e) (*.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 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) e) (+.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 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) e) (*.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 #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)) |
e |
(+ e (* -1/6 (* e (pow v 2)))) |
(*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) |
(/ (* e (* v (- e 1))) (- (pow e 2) 1)) |
(*.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) v) (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) |
(* 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)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) (fma.f64 e e #s(literal -1 binary64))) e (*.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) e)) e (/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (pow.f64 e #s(literal 3 binary64))) (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 e e #s(literal -1 binary64))) (*.f64 v v))) v) |
(* 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)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) (fma.f64 e e #s(literal -1 binary64))) e (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) e (*.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 1/120 binary64))) (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (/.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) e)) e (/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (pow.f64 e #s(literal 3 binary64))) (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 e e #s(literal -1 binary64)))) (*.f64 e e) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 e #s(literal 1 binary64))) (pow.f64 e #s(literal 3 binary64))) (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 e e #s(literal -1 binary64)))) (*.f64 v v) (/.f64 (fma.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) e)) e (/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (pow.f64 e #s(literal 3 binary64))) (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 e e #s(literal -1 binary64)))) (*.f64 v v))) v) |
(* 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)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/144 binary64) e (fma.f64 e #s(literal -1/180 binary64) (*.f64 (-.f64 e #s(literal 1 binary64)) #s(literal -1/5040 binary64)))) (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -2/45 binary64) (pow.f64 e #s(literal 3 binary64))) (/.f64 (-.f64 e #s(literal 1 binary64)) (pow.f64 (fma.f64 e e #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) e)) e (/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (pow.f64 e #s(literal 3 binary64))) (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 e e #s(literal -1 binary64)))) (*.f64 e e) (*.f64 (*.f64 (neg.f64 e) e) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) e (*.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 1/120 binary64))) (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (/.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) e)) e (/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (pow.f64 e #s(literal 3 binary64))) (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 e e #s(literal -1 binary64)))) (*.f64 e e) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 e #s(literal 1 binary64))) (pow.f64 e #s(literal 3 binary64))) (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 e e #s(literal -1 binary64)))))) (fma.f64 e e #s(literal -1 binary64))))) (*.f64 v v) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) e (*.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 1/120 binary64))) (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (/.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) e)) e (/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (pow.f64 e #s(literal 3 binary64))) (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 e e #s(literal -1 binary64)))) (*.f64 e e) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 e #s(literal 1 binary64))) (pow.f64 e #s(literal 3 binary64))) (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 e e #s(literal -1 binary64))))) (*.f64 v v) (/.f64 (fma.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) e)) e (/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (pow.f64 e #s(literal 3 binary64))) (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) v) (/.f64 e (fma.f64 e e #s(literal -1 binary64))))) |
(* 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) |
(* 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 (*.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 #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)) 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) |
(* (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 (* -2/3 (pow v 2)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -2/3 binary64) v) |
(* v (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 v v)) #s(literal 2/3 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/15 (* -4/315 (pow v 2)))) 2/3)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) v) v) #s(literal 2/3 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) |
(* -1/6 (* e (pow v 3))) |
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64)) e) |
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) e (/.f64 e (*.f64 v v))) (pow.f64 v #s(literal 3 binary64))) |
(* -1/6 (* e (pow v 2))) |
(*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) |
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) e (/.f64 e (*.f64 v v))) v) v) |
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (pow (cos v) 2)) 1)) |
(*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64)))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v)) |
(* (pow e 2) (- (/ (sin v) e) (* (cos v) (sin v)))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) |
(cos v) |
(cos.f64 v) |
(* (cos v) (sin v)) |
(*.f64 (cos.f64 v) (sin.f64 v)) |
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) e (/.f64 e (*.f64 v v))) (pow.f64 v #s(literal 3 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 258 |
| 0 | 71 | 244 |
| 1 | 244 | 242 |
| 2 | 1493 | 240 |
| 0 | 9304 | 240 |
| 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) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) |
#s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (sin.f64 v) e)) |
(-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) |
(cos.f64 v) |
(*.f64 (*.f64 v v) e) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 (cos.f64 v) (sin.f64 v)) |
(/.f64 (sin.f64 v) e) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 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 (*.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
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(*.f64 (/.f64 (sin.f64 v) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
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(+.f64 (/.f64 (pow.f64 e #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 v v) e) #s(literal 2 binary64)) (*.f64 e (-.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e)))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 v v) e) #s(literal 2 binary64)) (*.f64 e (-.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 v v) e) #s(literal 2 binary64)) (*.f64 e (-.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e)))))) (/.f64 (pow.f64 e #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 v v) e) #s(literal 2 binary64)) (*.f64 e (-.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e)) e)) (/.f64 (*.f64 (neg.f64 (neg.f64 e)) (neg.f64 e)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e)) e))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e)) e)) (/.f64 (*.f64 (neg.f64 e) e) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e)) e))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e)) e)) (/.f64 (*.f64 e (neg.f64 e)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e)) e))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e)) e) |
(+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (/.f64 (sin.f64 v) e))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 v)) (cos.f64 v)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (cos.f64 v)) (*.f64 (neg.f64 (sin.f64 v)) (cos.f64 v))) (*.f64 (/.f64 (sin.f64 v) e) (*.f64 (neg.f64 (sin.f64 v)) (cos.f64 v)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 v) e) (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))))))) |
(/.f64 (neg.f64 (neg.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))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e))) (*.f64 (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)) (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 v))) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 e)) (+.f64 (sin.f64 (-.f64 v (neg.f64 v))) (sin.f64 (+.f64 v (neg.f64 v)))))) (*.f64 (neg.f64 (neg.f64 e)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 v))) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 e)) (+.f64 (sin.f64 (-.f64 v v)) (sin.f64 (+.f64 v v))))) (*.f64 (neg.f64 (neg.f64 e)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 v))) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 e)) (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) v)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) v))))) (*.f64 (neg.f64 (neg.f64 e)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 v))) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 e)) (-.f64 (cos.f64 (-.f64 v (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v))) (cos.f64 (+.f64 v (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v)))))) (*.f64 (neg.f64 (neg.f64 e)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 v)) #s(literal 2 binary64)) (*.f64 (neg.f64 e) (+.f64 (sin.f64 (-.f64 v (neg.f64 v))) (sin.f64 (+.f64 v (neg.f64 v)))))) (*.f64 (neg.f64 e) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 v)) #s(literal 2 binary64)) (*.f64 (neg.f64 e) (+.f64 (sin.f64 (-.f64 v v)) (sin.f64 (+.f64 v v))))) (*.f64 (neg.f64 e) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 v)) #s(literal 2 binary64)) (*.f64 (neg.f64 e) (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) v)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) v))))) (*.f64 (neg.f64 e) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 v)) #s(literal 2 binary64)) (*.f64 (neg.f64 e) (-.f64 (cos.f64 (-.f64 v (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v))) (cos.f64 (+.f64 v (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v)))))) (*.f64 (neg.f64 e) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 e (+.f64 (sin.f64 (-.f64 v (neg.f64 v))) (sin.f64 (+.f64 v (neg.f64 v)))))) (*.f64 e #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 e (+.f64 (sin.f64 (-.f64 v v)) (sin.f64 (+.f64 v v))))) (*.f64 e #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 e (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) v)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) v))))) (*.f64 e #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 e (-.f64 (cos.f64 (-.f64 v (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v))) (cos.f64 (+.f64 v (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v)))))) (*.f64 e #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 v) e) (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)))))) |
(/.f64 (neg.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)))) (neg.f64 (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64))))) |
(/.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))) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) |
(fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (sin.f64 v) e) (*.f64 (neg.f64 (neg.f64 (cos.f64 v))) (sin.f64 v))) |
(-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) |
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(+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e))) (/.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 (cos.f64 v) (sin.f64 v))) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (/.f64 (sin.f64 v) e)) |
(+.f64 (/.f64 (sin.f64 v) e) (*.f64 (neg.f64 (sin.f64 v)) (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) e) (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v)))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (neg.f64 e)) (neg.f64 e)) |
(*.f64 (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e) e) |
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v)))) |
(*.f64 (neg.f64 e) (*.f64 (neg.f64 e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) |
(*.f64 e (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e)) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e))) (*.f64 (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 e e) (/.f64 (sin.f64 v) e)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 e e) (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 e e) (/.f64 (sin.f64 v) e)) (*.f64 (*.f64 e e) (/.f64 (sin.f64 v) e)) (-.f64 (*.f64 (*.f64 (*.f64 e e) (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))) (*.f64 (*.f64 e e) (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)))) (*.f64 (*.f64 (*.f64 e e) (/.f64 (sin.f64 v) e)) (*.f64 (*.f64 e e) (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))))))) |
(/.f64 (neg.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 e e))) (neg.f64 (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 e e) (-.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))))) (neg.f64 (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 e e) (-.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64))))) |
(/.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 e e)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 3 binary64))) (*.f64 e e)) (fma.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 e e) (-.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)))) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e))) |
(/.f64 (*.f64 (*.f64 e e) (-.f64 (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 v) (sin.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e)) (pow.f64 (/.f64 (sin.f64 v) e) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 e e) (/.f64 (sin.f64 v) e) (*.f64 (*.f64 e e) (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)))) |
(fma.f64 (/.f64 (sin.f64 v) e) (*.f64 e e) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e))) |
(+.f64 (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e))) |
(+.f64 (*.f64 (*.f64 e e) (/.f64 (sin.f64 v) e)) (*.f64 (*.f64 e e) (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)))) |
(pow.f64 (cos.f64 v) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 v) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 v) #s(literal 0 binary64)) (*.f64 (sin.f64 v) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) #s(literal 1 binary64)) (*.f64 (cos.f64 v) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 v) #s(literal 0 binary64)) (*.f64 (cos.f64 v) #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 (sin.f64 v)) #s(literal 0 binary64) (*.f64 (cos.f64 v) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 v) (*.f64 #s(literal 0 binary64) (sin.f64 v))) |
(fma.f64 (sin.f64 v) #s(literal 0 binary64) (*.f64 (cos.f64 v) #s(literal 1 binary64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 v)) (/.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)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 v)))) |
(cos.f64 (neg.f64 (neg.f64 v))) |
(cos.f64 (neg.f64 v)) |
(cos.f64 v) |
(exp.f64 (*.f64 (log.f64 (cos.f64 v)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 v)) #s(literal 0 binary64)) (*.f64 (cos.f64 v) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) (*.f64 #s(literal 0 binary64) (sin.f64 v))) |
(+.f64 (*.f64 (sin.f64 v) #s(literal 0 binary64)) (*.f64 (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 e (neg.f64 v)) (neg.f64 v)) |
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) e)) |
(*.f64 (*.f64 v v) e) |
(*.f64 (*.f64 e v) v) |
(*.f64 e (*.f64 v v)) |
(*.f64 v (*.f64 e v)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 (cos.f64 v) (sin.f64 v)) |
(*.f64 (sin.f64 v) (cos.f64 v)) |
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 v (neg.f64 v))) (sin.f64 (+.f64 v (neg.f64 v))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 v v)) (sin.f64 (+.f64 v v)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) v)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) v)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 v (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v))) (cos.f64 (+.f64 v (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 v (neg.f64 (neg.f64 v)))) (sin.f64 (+.f64 v (neg.f64 (neg.f64 v))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))) v)) (cos.f64 (+.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))) v))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 v (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 v (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 v (neg.f64 v))) (sin.f64 (+.f64 v (neg.f64 v)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 v v)) (sin.f64 (+.f64 v v))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) v)) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) v))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 v (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v))) (cos.f64 (+.f64 v (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v)))) #s(literal 2 binary64)) |
(-.f64 (/.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) v)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) v)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (cos.f64 (-.f64 v (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v))) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 v (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (sin.f64 (-.f64 v (neg.f64 v))) #s(literal 2 binary64)) (/.f64 (sin.f64 (+.f64 v (neg.f64 v))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (sin.f64 (-.f64 v v)) #s(literal 2 binary64)) (/.f64 (sin.f64 (+.f64 v v)) #s(literal 2 binary64))) |
(/.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))) |
Compiled 19 883 to 2 273 computations (88.6% saved)
27 alts after pruning (21 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 488 | 11 | 499 |
| Fresh | 7 | 10 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 498 | 27 | 525 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ▶ | 99.3% | (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e) #s(literal 1 binary64))) |
| ✓ | 98.6% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| 71.6% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.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))))))) | |
| 97.5% | (/.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))))) | |
| 55.1% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 v (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) | |
| ▶ | 27.0% | (/.f64 #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| 98.6% | #s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v))) | |
| ▶ | 99.8% | #s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64))))) |
| ✓ | 97.6% | #s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (sin.f64 v) e)) |
| 54.0% | #s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) | |
| ✓ | 55.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| ✓ | 98.6% | #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 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) | |
| 98.5% | #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)) | |
| 2.6% | #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)) | |
| ▶ | 55.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
| 54.4% | #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)) | |
| 98.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)) e)) | |
| 2.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) | |
| ✓ | 54.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 21.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e)) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e))) (*.f64 (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e)))))))) | |
| 59.2% | #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 e e)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e))))) | |
| 62.6% | #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))) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e))) (*.f64 e e)))) | |
| ▶ | 70.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
| 46.2% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (*.f64 e e)))) | |
| 54.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (- (/ (sin v) e) (* (cos v) (sin v))) (* e e)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) e) e)))) |
Compiled 1 785 to 1 050 computations (41.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e) #s(literal 1 binary64)) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 e (sin.f64 v)) | |
| cost-diff | 0 | (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e)) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin 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 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) | |
| cost-diff | 0 | #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v) | |
| cost-diff | 0 | #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) | |
| cost-diff | 0 | (/.f64 #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) 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 | (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64))))) | |
| cost-diff | 2 | (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) | |
| cost-diff | 10 | (*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 498 |
| 0 | 104 | 498 |
| 1 | 174 | 486 |
| 2 | 365 | 486 |
| 3 | 973 | 459 |
| 4 | 2632 | 455 |
| 5 | 6958 | 455 |
| 0 | 8039 | 444 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) |
(-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(*.f64 (cos.f64 v) e) |
(cos.f64 v) |
v |
e |
#s(literal 1 binary64) |
(sin.f64 v) |
(/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) |
(pow.f64 (cos.f64 v) #s(literal 2 binary64)) |
#s(literal 2 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) |
#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 |
(/.f64 #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) |
(*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v) |
#s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 v v) e) |
(*.f64 v v) |
v |
e |
#s(literal -1/6 binary64) |
#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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e))) |
(*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
#s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) |
(/.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
(*.f64 e e) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e) #s(literal 1 binary64))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) |
(pow.f64 (cos.f64 v) #s(literal 2 binary64)) |
(cos.f64 v) |
#s(literal 2 binary64) |
(sqrt.f64 e) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64))))) |
#s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))) |
(*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) |
(*.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 (cos.f64 v) e) |
(cos.f64 v) |
v |
e |
#s(literal 1 binary64) |
(sin.f64 v) |
(/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64))) |
(/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) |
(pow.f64 (cos.f64 v) #s(literal 2 binary64)) |
#s(literal 2 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)) |
#s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.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 |
(/.f64 #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) |
(*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v) |
#s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 v v) e) |
(*.f64 v v) |
v |
e |
#s(literal -1/6 binary64) |
#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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
#s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e e) #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e e) #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)))) |
(*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
(*.f64 (*.f64 e e) #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e))) |
#s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) |
(/.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
(*.f64 e e) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (sqrt.f64 e) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) #s(literal 1 binary64))) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
e |
(sin.f64 v) |
v |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 e) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) |
(pow.f64 (cos.f64 v) #s(literal 2 binary64)) |
(cos.f64 v) |
#s(literal 2 binary64) |
(sqrt.f64 e) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0546875 | (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) | |
| accuracy | 0.08984375 | (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) | |
| accuracy | 0.1015625 | (*.f64 e (sin.f64 v)) | |
| accuracy | 0.25 | (pow.f64 (cos.f64 v) #s(literal 2 binary64)) | |
| accuracy | 0.1015625 | (/.f64 (sin.f64 v) e) | |
| accuracy | 0.8012272812366095 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) | |
| accuracy | 1.447438703163931 | #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) | |
| accuracy | 17.58865987377626 | (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e)) | |
| accuracy | 0.8136521108870174 | #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 5.6748246356648755 | (*.f64 (*.f64 v v) e) | |
| accuracy | 28.7420642616995 | #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) | |
| accuracy | 33.147378966611186 | #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) e) e) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) | |
| accuracy | 0.8227074615224917 | #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) | |
| accuracy | 28.376900827512284 | #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 | 0.08984375 | (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64)))) | |
| accuracy | 0.109375 | (*.f64 (cos.f64 v) e) | |
| accuracy | 0.25 | (pow.f64 (cos.f64 v) #s(literal 2 binary64)) |
| 119.0ms | 256× | 0 | valid |
Compiled 326 to 51 computations (84.4% saved)
ival-mult: 48.0ms (49.2% of total)ival-div: 17.0ms (17.4% of total)ival-sin: 6.0ms (6.1% of total)ival-add: 5.0ms (5.1% of total)ival-sub: 5.0ms (5.1% of total)ival-cos: 4.0ms (4.1% of total)const: 4.0ms (4.1% of total)ival-pow2: 4.0ms (4.1% of total)ival-sqrt: 3.0ms (3.1% of total)ival-neg: 1.0ms (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 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) |
#s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 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)) |
(*.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(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) |
(*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v) |
#s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) 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 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e))) |
(*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
#s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e) #s(literal 1 binary64))) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 v) #s(literal 2 binary64)) |
(*.f64 (cos.f64 v) e) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) |
(*.f64 (*.f64 v v) e) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
(/.f64 (sin.f64 v) e) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 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))))))))) |
(* (pow e 2) (pow (cos v) 2)) |
(* -1 (sin v)) |
(+ (* -1 (sin v)) (* e (* (cos v) (sin v)))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
e |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
(* e (* v (+ 1 (* -1/6 (pow v 2))))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(/ (sin v) e) |
(/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) e) |
1 |
(+ 1 (* e (cos v))) |
(* e (cos v)) |
(* e (pow (cos v) 2)) |
(* e (pow v 2)) |
(* (sqrt e) (cos v)) |
(/ (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))))) |
(* e (* (cos v) (sin v))) |
(* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(- 1 (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))) |
(* -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))) |
(* -1 (* (cos v) (sin v))) |
(- (/ (sin v) e) (* (cos v) (sin v))) |
(* e (+ (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 (* (cos v) (sin v))) (/ (sin v) 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 (* v (- (* 1/6 (pow v 2)) 1)))) |
(* -1 (* e (- (* 1/6 (pow v 2)) 1))) |
(* -1 (/ (sin v) (* (cos v) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (sin v) (* e (* (pow (cos v) 2) (pow (sqrt -1) 4))))) (* -1 (/ (sin v) (* (cos v) (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (sin v) (* (cos v) (pow (sqrt -1) 2)))) (* -1 (/ (+ (/ (sin v) (* e (* (pow (cos v) 3) (pow (sqrt -1) 6)))) (/ (sin v) (* (pow (cos v) 2) (pow (sqrt -1) 4)))) e))) |
(+ (* -1 (/ (sin v) (* (cos v) (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (* (pow (cos v) 4) (pow (sqrt -1) 8))))) (* -1 (/ (sin v) (* (pow (cos v) 3) (pow (sqrt -1) 6))))) e)) (/ (sin v) (* (pow (cos v) 2) (pow (sqrt -1) 4)))) e))) |
(* -1 (* e (* (cos v) (pow (sqrt -1) 2)))) |
(* -1 (* e (- (* (cos v) (pow (sqrt -1) 2)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* (sqrt e) (* (cos v) (pow (sqrt -1) 2)))) |
(/ (* 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)))) |
(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)) |
(* v (- e 1)) |
(* v (- (+ e (* (pow v 2) (+ (* -1/2 e) (* -1/6 (- e 1))))) 1)) |
(* v (- (+ e (* (pow v 2) (+ (* -1/2 e) (+ (* -1/6 (- e 1)) (* (pow v 2) (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))))))) 1)) |
(* v (- (+ e (* (pow v 2) (+ (* -1/2 e) (+ (* -1/6 (- e 1)) (* (pow v 2) (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (+ (* 1/12 e) (* (pow v 2) (+ (* -1/144 e) (+ (* -1/240 e) (+ (* -1/720 e) (* -1/5040 (- e 1)))))))))))))) 1)) |
(/ (* 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))))))) |
(+ e (* -1/6 (* e (pow v 2)))) |
(* 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)))))))))))) |
(* (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)))))))) |
(* 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)) |
(* 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))))))) |
(+ 1 (* -1 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1))) |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(+ e (* -1 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1 e) (* 1/3 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1 e) (* (pow v 2) (+ (* -2/45 (* e (pow v 2))) (* 1/3 e)))))) |
(/ 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))) |
(sqrt e) |
(+ (sqrt e) (* -1/2 (* (sqrt e) (pow v 2)))) |
(+ (sqrt e) (* (pow v 2) (+ (* -1/2 (sqrt e)) (* 1/24 (* (sqrt e) (pow v 2)))))) |
(+ (sqrt e) (* (pow v 2) (+ (* -1/2 (sqrt e)) (* (pow v 2) (+ (* -1/720 (* (sqrt e) (pow v 2))) (* 1/24 (sqrt e))))))) |
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (pow (cos v) 2)) 1)) |
(* (sin v) (- (* e (cos v)) 1)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* -1/6 (* e (pow v 3))) |
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2)))) |
(* -1/6 (* e (pow v 2))) |
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2)))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (pow e 2) (- (/ (sin v) e) (* (cos v) (sin v)))) |
(sin v) |
(pow (cos v) 2) |
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | v | @ | -inf | ((* (* (- (* (cos v) e) 1) (sin v)) (/ e (- (* (* (pow (cos v) 2) e) e) 1))) (* (* (pow (cos v) 2) e) e) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (* (- (* (cos v) e) 1) (sin 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)))) (* e (sin v)) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- (/ (sin v) e) (* (cos v) (sin v))) (* e e)) (- (/ (sin v) e) (* (cos v) (sin v))) (/ (* e (sin v)) (+ (* (sqrt (* (pow (cos v) 2) e)) (sqrt e)) 1)) (* e (sin v)) (sin v) (+ (* (sqrt (* (pow (cos v) 2) e)) (sqrt e)) 1) (pow (cos v) 2) (* (cos v) e) (* (pow (cos v) 2) e) (* (* v v) e) (+ 1 (* e (cos v))) (/ (sin v) e) (sqrt (* (pow (cos v) 2) e))) |
| 6.0ms | e | @ | -inf | ((* (* (- (* (cos v) e) 1) (sin v)) (/ e (- (* (* (pow (cos v) 2) e) e) 1))) (* (* (pow (cos v) 2) e) e) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (* (- (* (cos v) e) 1) (sin 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)))) (* e (sin v)) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- (/ (sin v) e) (* (cos v) (sin v))) (* e e)) (- (/ (sin v) e) (* (cos v) (sin v))) (/ (* e (sin v)) (+ (* (sqrt (* (pow (cos v) 2) e)) (sqrt e)) 1)) (* e (sin v)) (sin v) (+ (* (sqrt (* (pow (cos v) 2) e)) (sqrt e)) 1) (pow (cos v) 2) (* (cos v) e) (* (pow (cos v) 2) e) (* (* v v) e) (+ 1 (* e (cos v))) (/ (sin v) e) (sqrt (* (pow (cos v) 2) e))) |
| 4.0ms | e | @ | 0 | ((* (* (- (* (cos v) e) 1) (sin v)) (/ e (- (* (* (pow (cos v) 2) e) e) 1))) (* (* (pow (cos v) 2) e) e) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (* (- (* (cos v) e) 1) (sin 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)))) (* e (sin v)) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- (/ (sin v) e) (* (cos v) (sin v))) (* e e)) (- (/ (sin v) e) (* (cos v) (sin v))) (/ (* e (sin v)) (+ (* (sqrt (* (pow (cos v) 2) e)) (sqrt e)) 1)) (* e (sin v)) (sin v) (+ (* (sqrt (* (pow (cos v) 2) e)) (sqrt e)) 1) (pow (cos v) 2) (* (cos v) e) (* (pow (cos v) 2) e) (* (* v v) e) (+ 1 (* e (cos v))) (/ (sin v) e) (sqrt (* (pow (cos v) 2) e))) |
| 4.0ms | v | @ | inf | ((* (* (- (* (cos v) e) 1) (sin v)) (/ e (- (* (* (pow (cos v) 2) e) e) 1))) (* (* (pow (cos v) 2) e) e) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (* (- (* (cos v) e) 1) (sin 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)))) (* e (sin v)) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- (/ (sin v) e) (* (cos v) (sin v))) (* e e)) (- (/ (sin v) e) (* (cos v) (sin v))) (/ (* e (sin v)) (+ (* (sqrt (* (pow (cos v) 2) e)) (sqrt e)) 1)) (* e (sin v)) (sin v) (+ (* (sqrt (* (pow (cos v) 2) e)) (sqrt e)) 1) (pow (cos v) 2) (* (cos v) e) (* (pow (cos v) 2) e) (* (* v v) e) (+ 1 (* e (cos v))) (/ (sin v) e) (sqrt (* (pow (cos v) 2) e))) |
| 4.0ms | e | @ | inf | ((* (* (- (* (cos v) e) 1) (sin v)) (/ e (- (* (* (pow (cos v) 2) e) e) 1))) (* (* (pow (cos v) 2) e) e) (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (* (- (* (cos v) e) 1) (sin 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)))) (* e (sin v)) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- (/ (sin v) e) (* (cos v) (sin v))) (* e e)) (- (/ (sin v) e) (* (cos v) (sin v))) (/ (* e (sin v)) (+ (* (sqrt (* (pow (cos v) 2) e)) (sqrt e)) 1)) (* e (sin v)) (sin v) (+ (* (sqrt (* (pow (cos v) 2) e)) (sqrt e)) 1) (pow (cos v) 2) (* (cos v) e) (* (pow (cos v) 2) e) (* (* v v) e) (+ 1 (* e (cos v))) (/ (sin v) e) (sqrt (* (pow (cos v) 2) e))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 595 | 2865 |
| 1 | 2101 | 2725 |
| 0 | 8059 | 2569 |
| 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))))))))) |
(* (pow e 2) (pow (cos v) 2)) |
(* -1 (sin v)) |
(+ (* -1 (sin v)) (* e (* (cos v) (sin v)))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
e |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
(* e (* v (+ 1 (* -1/6 (pow v 2))))) |
(* e (+ 1 (* -1/6 (pow v 2)))) |
(/ (sin v) e) |
(/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) e) |
1 |
(+ 1 (* e (cos v))) |
(* e (cos v)) |
(* e (pow (cos v) 2)) |
(* e (pow v 2)) |
(* (sqrt e) (cos v)) |
(/ (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))))) |
(* e (* (cos v) (sin v))) |
(* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(- 1 (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))) |
(* -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))) |
(* -1 (* (cos v) (sin v))) |
(- (/ (sin v) e) (* (cos v) (sin v))) |
(* e (+ (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 (* (cos v) (sin v))) (/ (sin v) 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 (* v (- (* 1/6 (pow v 2)) 1)))) |
(* -1 (* e (- (* 1/6 (pow v 2)) 1))) |
(* -1 (/ (sin v) (* (cos v) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (sin v) (* e (* (pow (cos v) 2) (pow (sqrt -1) 4))))) (* -1 (/ (sin v) (* (cos v) (pow (sqrt -1) 2))))) |
(+ (* -1 (/ (sin v) (* (cos v) (pow (sqrt -1) 2)))) (* -1 (/ (+ (/ (sin v) (* e (* (pow (cos v) 3) (pow (sqrt -1) 6)))) (/ (sin v) (* (pow (cos v) 2) (pow (sqrt -1) 4)))) e))) |
(+ (* -1 (/ (sin v) (* (cos v) (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (* (pow (cos v) 4) (pow (sqrt -1) 8))))) (* -1 (/ (sin v) (* (pow (cos v) 3) (pow (sqrt -1) 6))))) e)) (/ (sin v) (* (pow (cos v) 2) (pow (sqrt -1) 4)))) e))) |
(* -1 (* e (* (cos v) (pow (sqrt -1) 2)))) |
(* -1 (* e (- (* (cos v) (pow (sqrt -1) 2)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* (sqrt e) (* (cos v) (pow (sqrt -1) 2)))) |
(/ (* 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)))) |
(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)) |
(* v (- e 1)) |
(* v (- (+ e (* (pow v 2) (+ (* -1/2 e) (* -1/6 (- e 1))))) 1)) |
(* v (- (+ e (* (pow v 2) (+ (* -1/2 e) (+ (* -1/6 (- e 1)) (* (pow v 2) (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))))))) 1)) |
(* v (- (+ e (* (pow v 2) (+ (* -1/2 e) (+ (* -1/6 (- e 1)) (* (pow v 2) (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (+ (* 1/12 e) (* (pow v 2) (+ (* -1/144 e) (+ (* -1/240 e) (+ (* -1/720 e) (* -1/5040 (- e 1)))))))))))))) 1)) |
(/ (* 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))))))) |
(+ e (* -1/6 (* e (pow v 2)))) |
(* 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)))))))))))) |
(* (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)))))))) |
(* 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)) |
(* 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))))))) |
(+ 1 (* -1 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1))) |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(+ e (* -1 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1 e) (* 1/3 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1 e) (* (pow v 2) (+ (* -2/45 (* e (pow v 2))) (* 1/3 e)))))) |
(/ 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))) |
(sqrt e) |
(+ (sqrt e) (* -1/2 (* (sqrt e) (pow v 2)))) |
(+ (sqrt e) (* (pow v 2) (+ (* -1/2 (sqrt e)) (* 1/24 (* (sqrt e) (pow v 2)))))) |
(+ (sqrt e) (* (pow v 2) (+ (* -1/2 (sqrt e)) (* (pow v 2) (+ (* -1/720 (* (sqrt e) (pow v 2))) (* 1/24 (sqrt e))))))) |
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (pow (cos v) 2)) 1)) |
(* (sin v) (- (* e (cos v)) 1)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* -1/6 (* e (pow v 3))) |
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2)))) |
(* -1/6 (* e (pow v 2))) |
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2)))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (pow e 2) (- (/ (sin v) e) (* (cos v) (sin v)))) |
(sin v) |
(pow (cos v) 2) |
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e)))) |
| 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) |
(* (pow e 2) (pow (cos v) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) |
(* -1 (sin v)) |
(neg.f64 (sin.f64 v)) |
(+ (* -1 (sin v)) (* e (* (cos v) (sin v)))) |
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) |
(* 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) |
(* 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 (+ 1 (* -1/6 (pow v 2)))) |
(*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 |
#s(literal 1 binary64) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (pow (cos v) 2)) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) |
(* e (pow v 2)) |
(*.f64 (*.f64 v v) e) |
(* (sqrt e) (cos v)) |
(*.f64 (sqrt.f64 e) (cos.f64 v)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(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))) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(- (+ (* -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))))) |
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64))))) (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(* e (* (cos v) (sin v))) |
(*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) |
(* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))) |
(*.f64 (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (neg.f64 (sin.f64 v)) e)) e) |
(- (+ (/ (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) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (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 e #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 4 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))) |
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) e) e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 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 e (*.f64 (cos.f64 v) e)) (neg.f64 (sin.f64 v))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
(* -1 (* (cos v) (sin v))) |
(*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) |
(- (/ (sin v) e) (* (cos v) (sin v))) |
(fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(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) (sin v))) (/ (sin v) e)))) |
(*.f64 (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (neg.f64 (sin.f64 v)) e)) 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 (* e (* v (- (* 1/6 (pow v 2)) 1)))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) (neg.f64 e)) |
(* -1 (* e (- (* 1/6 (pow v 2)) 1))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal 1 binary64)) (neg.f64 e)) |
(* -1 (/ (sin v) (* (cos v) (pow (sqrt -1) 2)))) |
(*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)) |
(+ (* -1 (/ (sin v) (* e (* (pow (cos v) 2) (pow (sqrt -1) 4))))) (* -1 (/ (sin v) (* (cos v) (pow (sqrt -1) 2))))) |
(fma.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (sin.f64 v)) e) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) |
(+ (* -1 (/ (sin v) (* (cos v) (pow (sqrt -1) 2)))) (* -1 (/ (+ (/ (sin v) (* e (* (pow (cos v) 3) (pow (sqrt -1) 6)))) (/ (sin v) (* (pow (cos v) 2) (pow (sqrt -1) 4)))) e))) |
(fma.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (neg.f64 e))) |
(+ (* -1 (/ (sin v) (* (cos v) (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (* (pow (cos v) 4) (pow (sqrt -1) 8))))) (* -1 (/ (sin v) (* (pow (cos v) 3) (pow (sqrt -1) 6))))) e)) (/ (sin v) (* (pow (cos v) 2) (pow (sqrt -1) 4)))) e))) |
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(*.f64 (*.f64 v (*.f64 e e)) (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)))))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e (*.f64 (*.f64 (*.f64 e e) (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))) v) |
(* 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 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) e) e (*.f64 (*.f64 (*.f64 e e) (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 v v))) 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) |
(* 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 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) e) (+.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 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) e) (*.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 #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)) |
(+ 1 (* -1 (pow v 2))) |
(fma.f64 (neg.f64 v) v #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) v) v) #s(literal 1 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(+ e (* -1/2 (* e (pow v 2)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) e) (*.f64 v v) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) e) (*.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 #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) e) |
(+ e (* -1 (* e (pow v 2)))) |
(fma.f64 (*.f64 (neg.f64 v) v) e e) |
(+ e (* (pow v 2) (+ (* -1 e) (* 1/3 (* e (pow v 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 v v)) e (neg.f64 e)) (*.f64 v v) e) |
(+ e (* (pow v 2) (+ (* -1 e) (* (pow v 2) (+ (* -2/45 (* e (pow v 2))) (* 1/3 e)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 v v)) e (*.f64 #s(literal 1/3 binary64) e)) v) v (neg.f64 e)) (*.f64 v v) e) |
(/ v e) |
(/.f64 v e) |
(* v (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e))) |
(*.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v) |
(* 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)) (fma.f64 (*.f64 (/.f64 #s(literal 1/120 binary64) e) v) v (/.f64 #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 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) e) v) v (/.f64 #s(literal -1/6 binary64) e)) (/.f64 v e)) |
(sqrt e) |
(sqrt.f64 e) |
(+ (sqrt e) (* -1/2 (* (sqrt e) (pow v 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 e)) v) v (sqrt.f64 e)) |
(+ (sqrt e) (* (pow v 2) (+ (* -1/2 (sqrt e)) (* 1/24 (* (sqrt e) (pow v 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 e)) v) v (*.f64 #s(literal -1/2 binary64) (sqrt.f64 e))) (*.f64 v v) (sqrt.f64 e)) |
(+ (sqrt e) (* (pow v 2) (+ (* -1/2 (sqrt e)) (* (pow v 2) (+ (* -1/720 (* (sqrt e) (pow v 2))) (* 1/24 (sqrt e))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (sqrt.f64 e)) v) v (*.f64 #s(literal 1/24 binary64) (sqrt.f64 e))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 e))) (*.f64 v v) (sqrt.f64 e)) |
(/ (* 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))) |
(* (sin v) (- (* e (cos v)) 1)) |
(*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(* -1/6 (* e (pow v 3))) |
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) e) #s(literal -1/6 binary64)) |
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) e (/.f64 e (*.f64 v v))) (pow.f64 v #s(literal 3 binary64))) |
(* -1/6 (* e (pow v 2))) |
(*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) |
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) e (/.f64 e (*.f64 v v))) v) 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)) |
(* (pow e 2) (- (/ (sin v) e) (* (cos v) (sin v)))) |
(*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
(sin v) |
(sin.f64 v) |
(pow (cos v) 2) |
(pow.f64 (cos.f64 v) #s(literal 2 binary64)) |
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) e (/.f64 (/.f64 (neg.f64 e) v) v))) (pow.f64 v #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 414 |
| 0 | 104 | 410 |
| 1 | 324 | 367 |
| 2 | 1844 | 367 |
| 0 | 8948 | 352 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) |
#s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 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)) |
(*.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(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) |
(*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v) |
#s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) 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 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e))) |
(*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
#s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e) #s(literal 1 binary64))) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 v) #s(literal 2 binary64)) |
(*.f64 (cos.f64 v) e) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) |
(*.f64 (*.f64 v v) e) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
(/.f64 (sin.f64 v) e) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 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)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 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 (*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 v)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(*.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 (sin.f64 v) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 e (-.f64 (*.f64 (cos.f64 v) e) #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 (sin.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(*.f64 (/.f64 e (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (sin.f64 v) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 e (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.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 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #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)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 e (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 e (fma.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 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (sin.f64 v) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.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 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (-.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 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (-.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)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.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))) (-.f64 (*.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))) (/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 e #s(literal 1 binary64))) |
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(/.f64 (+.f64 (cos.f64 (+.f64 v v)) (cos.f64 (-.f64 v v))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 v) v)) (cos.f64 (-.f64 (neg.f64 v) v))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 v (neg.f64 v))) (cos.f64 (-.f64 v (neg.f64 v)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64))) |
(-.f64 (/.f64 (fma.f64 (sin.f64 v) (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v))) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (PI.f64)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal 2 binary64))) |
(fabs.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 (cos.f64 v)) (log.f64 (cos.f64 v)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 v)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cos.f64 (+.f64 v v)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 v v)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 v) v)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (neg.f64 v) v)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cos.f64 (+.f64 v (neg.f64 v))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 v (neg.f64 v))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 v)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 v)) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 v) (PI.f64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 v)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 v (PI.f64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 v) e))) (neg.f64 (sqrt.f64 (*.f64 (cos.f64 v) e)))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v))) e) |
(*.f64 (fabs.f64 (sqrt.f64 e)) (fabs.f64 (*.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) #s(literal 1 binary64)))) |
(*.f64 (fabs.f64 (sqrt.f64 e)) (fabs.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)))) |
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 e) (cos.f64 v))) (fabs.f64 (sqrt.f64 e))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 v) e) e)) (sqrt.f64 (cos.f64 v))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (neg.f64 e))) (sqrt.f64 (neg.f64 e))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 v) e) (sqrt.f64 e))) (sqrt.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 v) e) (*.f64 (sqrt.f64 e) (cos.f64 v)))) (sqrt.f64 (sqrt.f64 e))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (neg.f64 e))) (sqrt.f64 (cos.f64 v))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (cos.f64 v))) (sqrt.f64 (neg.f64 e))) |
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v)))) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))))) |
(*.f64 (sqrt.f64 (sqrt.f64 e)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) (*.f64 (cos.f64 v) e)))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 e) (cos.f64 v))) (sqrt.f64 (*.f64 (sqrt.f64 e) (*.f64 (cos.f64 v) 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))))) |
(*.f64 (exp.f64 (log.f64 e)) (cos.f64 v)) |
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) e) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 v))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (neg.f64 e)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 e) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sqrt.f64 e)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (*.f64 (sqrt.f64 e) (cos.f64 v))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 e) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (neg.f64 e)) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 v))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (cos.f64 v)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 e) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 e) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 v) (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) #s(literal 1 binary64)) e) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 e) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) (*.f64 (cos.f64 v) e)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 e) (*.f64 (cos.f64 v) e)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 v) e)) |
(*.f64 (pow.f64 (sqrt.f64 e) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 e) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 e) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e) |
(*.f64 (sqrt.f64 (*.f64 (cos.f64 v) e)) (sqrt.f64 (*.f64 (cos.f64 v) e))) |
(*.f64 (sqrt.f64 (cos.f64 v)) (sqrt.f64 (*.f64 e (*.f64 (cos.f64 v) e)))) |
(*.f64 (sqrt.f64 (cos.f64 v)) (sqrt.f64 (*.f64 (cos.f64 v) (*.f64 e e)))) |
(*.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)) (pow.f64 (*.f64 e (*.f64 (cos.f64 v) e)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 v)) (pow.f64 (*.f64 (cos.f64 v) (*.f64 e e)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 v)) (pow.f64 (*.f64 (neg.f64 e) (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 e) (sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 e) (pow.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 e) (*.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (cos.f64 v))) |
(*.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) (sqrt.f64 e)) |
(*.f64 (*.f64 (cos.f64 v) e) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(*.f64 (cos.f64 v) (fabs.f64 (*.f64 (neg.f64 e) #s(literal 1 binary64)))) |
(*.f64 (cos.f64 v) (exp.f64 (log.f64 e))) |
(*.f64 (cos.f64 v) e) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(*.f64 e (fabs.f64 (*.f64 (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 e (pow.f64 (*.f64 (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 e (*.f64 (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 e (cos.f64 v)) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 v) e)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64)) |
(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)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v)))) |
(fabs.f64 (*.f64 (neg.f64 e) (cos.f64 v))) |
(fabs.f64 (*.f64 (cos.f64 v) e)) |
(exp.f64 (fma.f64 (log.f64 e) #s(literal 1/2 binary64) (*.f64 (fma.f64 (log.f64 (cos.f64 v)) #s(literal 2 binary64) (log.f64 e)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (fma.f64 (log.f64 (cos.f64 v)) #s(literal 2 binary64) (log.f64 e)) #s(literal 1/2 binary64) (*.f64 (log.f64 e) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 v) e))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 v) e))) (sinh.f64 (log.f64 (*.f64 (cos.f64 v) e)))) |
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 e) (cos.f64 v))) (fabs.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 e) (cos.f64 v))) (neg.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)))) |
(*.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) (*.f64 (sqrt.f64 e) (cos.f64 v))) |
(*.f64 (*.f64 (cos.f64 v) e) (cos.f64 v)) |
(*.f64 (cos.f64 v) (*.f64 (cos.f64 v) e)) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) |
(*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) |
(exp.f64 (fma.f64 (fma.f64 (log.f64 (cos.f64 v)) #s(literal 2 binary64) (log.f64 e)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (log.f64 (cos.f64 v)) #s(literal 2 binary64) (log.f64 e)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (fma.f64 (log.f64 (cos.f64 v)) #s(literal 2 binary64) (log.f64 e)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 v)) #s(literal 2 binary64) (log.f64 e))) |
(*.f64 (*.f64 e (neg.f64 v)) (neg.f64 v)) |
(*.f64 (*.f64 e v) v) |
(*.f64 (neg.f64 v) (*.f64 (neg.f64 v) e)) |
(*.f64 (*.f64 v v) e) |
(*.f64 e (*.f64 v v)) |
(*.f64 v (*.f64 e v)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 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 (neg.f64 (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 v)))) (neg.f64 (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 v))))) |
(*.f64 (fabs.f64 (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 v)))) (fabs.f64 (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 v))))) |
(*.f64 (sqrt.f64 (*.f64 (cos.f64 v) e)) (sqrt.f64 (cos.f64 v))) |
(*.f64 (sqrt.f64 (cos.f64 v)) (sqrt.f64 (*.f64 (cos.f64 v) e))) |
(*.f64 (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 v))) (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 v)))) |
(*.f64 (sqrt.f64 e) (cos.f64 v)) |
(*.f64 (cos.f64 v) (sqrt.f64 e)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 v))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) |
(exp.f64 (fma.f64 (log.f64 e) #s(literal 1/2 binary64) (log.f64 (cos.f64 v)))) |
(exp.f64 (+.f64 (log.f64 (cos.f64 v)) (*.f64 (log.f64 e) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 (cos.f64 v)) #s(literal 2 binary64) (log.f64 e)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (fma.f64 (log.f64 (cos.f64 v)) #s(literal 2 binary64) (log.f64 e)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (fma.f64 (log.f64 (cos.f64 v)) #s(literal 2 binary64) (log.f64 e)) #s(literal 1/2 binary64)))) |
Compiled 31 741 to 3 820 computations (88% saved)
27 alts after pruning (18 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 748 | 6 | 754 |
| Fresh | 4 | 12 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 754 | 27 | 781 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) (sqrt.f64 e) #s(literal 1 binary64))) | |
| ✓ | 98.6% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| 71.6% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.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))))))) | |
| 97.5% | (/.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))))) | |
| 55.1% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 v (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) | |
| ✓ | 27.0% | (/.f64 #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| 98.6% | #s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v))) | |
| 99.8% | #s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) e) e) #s(literal 1 binary64))))) | |
| ✓ | 97.6% | #s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (sin.f64 v) e)) |
| 54.0% | #s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) | |
| ✓ | 55.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| ✓ | 98.6% | #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 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)) | |
| 98.5% | #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)) | |
| ✓ | 55.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
| 55.1% | #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)) | |
| 28.3% | #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)) | |
| 54.4% | #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)) | |
| ✓ | 54.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 21.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e)) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e))) (*.f64 (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e)))))))) | |
| 59.2% | #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 e e)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e))))) | |
| 62.6% | #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))) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e))) (*.f64 e e)))) | |
| 97.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) e) e))) | |
| ✓ | 70.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e)))) |
| 45.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) #s(approx (/ (sin v) e) (/.f64 v e))) (*.f64 e e)))) | |
| 54.6% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (- (/ (sin v) e) (* (cos v) (sin v))) (* e e)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) e) e)))) |
Compiled 2 616 to 888 computations (66.1% 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)))) (*.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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) #s(approx (/ (sin v) e) (/.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) #s(approx (* (- (/ (sin v) e) (* (cos v) (sin v))) (* 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 (- (/ (sin v) e) (* (cos v) (sin v))) (*.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)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 v (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 #s(approx (* e (sin v)) (*.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 (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.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 (- (/ (sin v) e) (* (cos v) (sin 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 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) 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 #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)) |
#s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v))) |
(/.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 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)) (fma.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) (sqrt.f64 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 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)) e)) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) e) e) #s(literal 1 binary64))))) |
#s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e) #s(literal 1 binary64))))) |
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.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 (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.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))))))) |
#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))) (fma.f64 (cos.f64 v) (sin.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 (-.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 e e)) (fma.f64 (cos.f64 v) (sin.f64 v) (/.f64 (sin.f64 v) e))))) |
#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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e)) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e))) (*.f64 (*.f64 (/.f64 (sin.f64 v) e) (*.f64 e e)) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (*.f64 e e)))))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (/.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))))))))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) (sqrt.f64 e) #s(literal 1 binary64))) |
3 calls:
| 13.0ms | e |
| 11.0ms | v |
| 11.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 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)))) (*.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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) #s(approx (/ (sin v) e) (/.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) #s(approx (* (- (/ (sin v) e) (* (cos v) (sin v))) (* 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 (- (/ (sin v) e) (* (cos v) (sin v))) (*.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)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 v (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 #s(approx (* e (sin v)) (*.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 (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.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 (- (/ (sin v) e) (* (cos v) (sin 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 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) 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 #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)) |
#s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v))) |
(/.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 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))))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
3 calls:
| 10.0ms | e |
| 8.0ms | v |
| 8.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 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)))) (*.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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) #s(approx (/ (sin v) e) (/.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) #s(approx (* (- (/ (sin v) e) (* (cos v) (sin v))) (* 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 (- (/ (sin v) e) (* (cos v) (sin v))) (*.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)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 v (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 #s(approx (* e (sin v)) (*.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 (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.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 (- (/ (sin v) e) (* (cos v) (sin 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 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) 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 #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)) |
#s(approx (/ (* e (sin v)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v))) |
| Outputs |
|---|
#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)) |
3 calls:
| 10.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 8.0ms | v |
| 7.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 98.6% | 1 | e |
| 98.6% | 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)))) (*.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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) #s(approx (/ (sin v) e) (/.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) #s(approx (* (- (/ (sin v) e) (* (cos v) (sin v))) (* 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 (- (/ (sin v) e) (* (cos v) (sin v))) (*.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)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 v (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 #s(approx (* e (sin v)) (*.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 (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.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 (- (/ (sin v) e) (* (cos v) (sin 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 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) (/.f64 (sin.f64 v) e)) 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 #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)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
3 calls:
| 8.0ms | v |
| 7.0ms | e |
| 7.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | v |
| 98.6% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 98.6% | 1 | e |
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)))) (*.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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) #s(approx (/ (sin v) e) (/.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) #s(approx (* (- (/ (sin v) e) (* (cos v) (sin v))) (* 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 (- (/ (sin v) e) (* (cos v) (sin v))) (*.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)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 v (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 #s(approx (* e (sin v)) (*.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 (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.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:
| 6.0ms | v |
| 6.0ms | e |
| 6.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 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)))) (*.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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) #s(approx (/ (sin v) e) (/.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) #s(approx (* (- (/ (sin v) e) (* (cos v) (sin v))) (* 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 (- (/ (sin v) e) (* (cos v) (sin v))) (*.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)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 v (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 #s(approx (* e (sin v)) (*.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 (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) (*.f64 (sin.f64 v) e)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
3 calls:
| 7.0ms | e |
| 6.0ms | v |
| 5.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 97.6% | 1 | e |
| 97.6% | 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)))) (*.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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (- (/ (sin v) e) (* (cos v) (sin v))) #s(approx (/ (sin v) e) (/.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) #s(approx (* (- (/ (sin v) e) (* (cos v) (sin v))) (* 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 (- (/ (sin v) e) (* (cos v) (sin v))) (*.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)))) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 v (*.f64 (*.f64 e v) #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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)) (/ (- (pow (* (cos v) e) 2) 1) (- (* (cos v) e) 1))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
(/.f64 #s(approx (* e (sin v)) (*.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 (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (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:
| 8.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 7.0ms | e |
| 6.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.7% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 55.7% | 1 | e |
| 55.7% | 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)))) (*.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 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 2.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 1 | e |
| 55.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 55.1% | 1 | v |
Compiled 13 to 13 computations (0% saved)
Total -17.6b remaining (-60.7%)
Threshold costs -17.6b (-60.7%)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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:
| 1.0ms | v |
| 1.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 1.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.7% | 1 | e |
| 54.7% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 54.7% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 173 |
| 1 | 77 | 172 |
| 2 | 103 | 172 |
| 3 | 146 | 172 |
| 4 | 258 | 172 |
| 5 | 561 | 172 |
| 6 | 1282 | 172 |
| 7 | 2798 | 172 |
| 8 | 7053 | 172 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) (sqrt.f64 e) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) 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 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 e (sin.f64 v)) (fma.f64 (*.f64 (sqrt.f64 e) (cos.f64 v)) (sqrt.f64 e) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) 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 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 | 511 | 2766 |
| 1 | 1797 | 2657 |
| 2 | 6829 | 2599 |
| 0 | 8348 | 2441 |
| 0 | 9 | 27 |
| 0 | 15 | 27 |
| 1 | 49 | 27 |
| 2 | 256 | 27 |
| 3 | 2195 | 27 |
| 0 | 9771 | 25 |
| 0 | 68 | 414 |
| 0 | 104 | 410 |
| 1 | 324 | 367 |
| 2 | 1844 | 367 |
| 0 | 8948 | 352 |
| 0 | 182 | 800 |
| 1 | 606 | 788 |
| 2 | 2097 | 747 |
| 3 | 7186 | 720 |
| 0 | 8180 | 668 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 173 to 50 computations (71.1% saved)
(negabs v)
Compiled 396 to 138 computations (65.2% saved)
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