
Time bar (total: 6.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 3 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 4 |
| 87.5% | 21.8% | 3.1% | 75% | 0% | 0% | 0% | 5 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 6 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 7 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 8 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 9 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 10 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 11 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 998.0ms | 8 256× | 0 | valid |
ival-sin: 238.0ms (30% of total)ival-cos: 204.0ms (25.7% of total)ival-mult: 160.0ms (20.2% of total)ival-div: 66.0ms (8.3% of total)ival-<=: 51.0ms (6.4% of total)ival-add: 45.0ms (5.7% of total)ival-and: 12.0ms (1.5% of total)exact: 11.0ms (1.4% of total)ival-assert: 4.0ms (0.5% of total)adjust: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | e |
| 0 | 0 | - | 0 | - | (*.f64 e (cos.f64 v)) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (sin.f64 v) |
| 0 | 0 | - | 0 | - | (*.f64 e (sin.f64 v)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
| 0 | 0 | - | 0 | - | (cos.f64 v) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 68.0ms | 512× | 0 | valid |
Compiled 79 to 31 computations (60.8% saved)
ival-cos: 29.0ms (54.3% of total)ival-sin: 11.0ms (20.6% of total)ival-mult: 7.0ms (13.1% of total)ival-div: 3.0ms (5.6% of total)ival-add: 3.0ms (5.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 | 0.0 | (cos.f64 v) | |
| accuracy | 0.01171875 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| accuracy | 0.11328125 | (*.f64 e (cos.f64 v)) | |
| accuracy | 0.12109375 | (*.f64 e (sin.f64 v)) |
| 55.0ms | 256× | 0 | valid |
Compiled 34 to 11 computations (67.6% saved)
ival-cos: 35.0ms (74.1% of total)ival-sin: 6.0ms (12.7% of total)ival-mult: 3.0ms (6.3% of total)ival-div: 1.0ms (2.1% of total)ival-add: 1.0ms (2.1% 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 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
(*.f64 e (cos.f64 v)) |
(cos.f64 v) |
| Outputs |
|---|
1 |
(+ 1 (* e (cos v))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(sin v) |
(cos v) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | v | @ | 0 | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 2.0ms | e | @ | 0 | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 2.0ms | e | @ | -inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 2.0ms | v | @ | inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 2.0ms | v | @ | -inf | ((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 841 |
| 1 | 643 | 829 |
| 2 | 2192 | 788 |
| 3 | 7356 | 761 |
| 0 | 8175 | 705 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* e (cos v))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(sin v) |
(cos v) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (sin.f64 v)) e (sin.f64 v)) e) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (neg.f64 (cos.f64 v)) #s(literal 3 binary64)) e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(/.f64 (+.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 v)) e) (cos.f64 v)) (sin.f64 v)) (cos.f64 v)) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 v)) e) (cos.f64 v)) (sin.f64 v)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) e)) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 v)) e) (cos.f64 v)) (sin.f64 v)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(+ 1 e) |
(+.f64 #s(literal 1 binary64) e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/24 binary64) v) v #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 #s(literal 1/120 binary64) e)) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v) (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64)) e (fma.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 #s(literal 1/120 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64)) e (*.f64 #s(literal -1/720 binary64) (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v)) (/.f64 (fma.f64 #s(literal -1/120 binary64) e (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal -1/2 binary64) e)))) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v) (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(* e v) |
(*.f64 v e) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 (fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))) (*.f64 v v) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e)) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64))) v) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/24 binary64) v) v #s(literal -1/2 binary64))) (*.f64 v v) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)) |
(+ 1 (* -1/2 (pow v 2))) |
(fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64))) (*.f64 v v) #s(literal 1 binary64)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(sin v) |
(sin.f64 v) |
(cos v) |
(cos.f64 v) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 0 | 15 | 29 |
| 1 | 49 | 29 |
| 2 | 256 | 29 |
| 3 | 2195 | 29 |
| 0 | 9771 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
(*.f64 e (cos.f64 v)) |
(cos.f64 v) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))) |
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(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
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(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))))) |
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(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e)) |
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v))) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) |
(neg.f64 (neg.f64 (sin.f64 v))) |
(sin.f64 (neg.f64 (+.f64 v (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 v (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 v) (PI.f64))) |
(sin.f64 v) |
(cos.f64 (+.f64 (+.f64 v (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(*.f64 (fabs.f64 (fabs.f64 (cos.f64 v))) (fabs.f64 (fabs.f64 e))) |
(*.f64 (fabs.f64 (fabs.f64 e)) (fabs.f64 (fabs.f64 (cos.f64 v)))) |
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(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (cos.f64 v))) (sqrt.f64 (neg.f64 e))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 e) (cos.f64 v))) (sqrt.f64 (*.f64 (neg.f64 e) (cos.f64 v)))) |
(*.f64 (sqrt.f64 (neg.f64 e)) (sqrt.f64 (*.f64 (cos.f64 v) (*.f64 (neg.f64 e) (cos.f64 v))))) |
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(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 v) e) e)) (sqrt.f64 (cos.f64 v))) |
(*.f64 (sqrt.f64 (cos.f64 v)) (sqrt.f64 (*.f64 (neg.f64 e) (*.f64 (neg.f64 e) (cos.f64 v))))) |
(*.f64 (sqrt.f64 (cos.f64 v)) (sqrt.f64 (*.f64 (*.f64 (cos.f64 v) e) e))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e)) |
(*.f64 (sqrt.f64 e) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e))) |
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v)))) |
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(*.f64 (fabs.f64 (cos.f64 v)) (fabs.f64 e)) |
(*.f64 (fabs.f64 e) (fabs.f64 (cos.f64 v))) |
(*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(*.f64 (cos.f64 v) e) |
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(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
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(pow.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
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(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))) |
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(*.f64 (cos.f64 v) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 v)) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 v) (neg.f64 (cos.f64 v)))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)) (neg.f64 (cos.f64 v)) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 v)))) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)))) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)))))) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 v) (neg.f64 (cos.f64 v))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (neg.f64 (cos.f64 v)) (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)))) (*.f64 (neg.f64 (cos.f64 v)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)))) (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)))) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 v) (neg.f64 (cos.f64 v))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 (cos.f64 v)) (cos.f64 v)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (neg.f64 (cos.f64 v))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v))))) |
(/.f64 (-.f64 (cos.f64 v) (neg.f64 (cos.f64 v))) #s(literal 2 binary64)) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (*.f64 (cos.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))))) |
(fma.f64 (neg.f64 (sin.f64 v)) #s(literal 0 binary64) (cos.f64 v)) |
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64) (cos.f64 v)) |
(fma.f64 #s(literal 0 binary64) (sin.f64 v) (cos.f64 v)) |
(fma.f64 (sin.f64 v) #s(literal 0 binary64) (cos.f64 v)) |
(fma.f64 (cos.f64 v) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))) |
(fma.f64 (cos.f64 v) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 v))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 v) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 v) (*.f64 #s(literal 0 binary64) (sin.f64 v))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 2 binary64)) (neg.f64 (cos.f64 v))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (neg.f64 (cos.f64 v)))) |
(-.f64 (/.f64 (cos.f64 v) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 v)) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 v v) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 v v) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 (neg.f64 (cos.f64 v)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (-.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 v)) |
(cos.f64 v) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v))))) (*.f64 (cos.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))))) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64)) (cos.f64 v)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 v))) (cos.f64 v)) |
(+.f64 (*.f64 (neg.f64 (sin.f64 v)) #s(literal 0 binary64)) (cos.f64 v)) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)) |
(+.f64 (cos.f64 v) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))) |
(+.f64 (cos.f64 v) (*.f64 #s(literal 0 binary64) (sin.f64 v))) |
Compiled 11 071 to 1 375 computations (87.6% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 366 | 7 | 373 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 367 | 7 | 374 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ▶ | 98.5% | (/.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))))) | |
| 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) | |
| ▶ | 50.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| ▶ | 98.4% | #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)) |
| ▶ | 97.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
Compiled 230 to 176 computations (23.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 (sin.f64 v) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) | |
| cost-diff | 0 | (+.f64 #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 | (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 | 27 | 182 |
| 0 | 43 | 177 |
| 1 | 76 | 177 |
| 2 | 117 | 177 |
| 3 | 237 | 177 |
| 4 | 590 | 177 |
| 5 | 1357 | 177 |
| 6 | 2431 | 177 |
| 7 | 4193 | 177 |
| 8 | 7337 | 177 |
| 0 | 8406 | 177 |
| 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)))) (*.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 |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
(/.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) |
| 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)))) (*.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 |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v))) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
v |
e |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 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)) e) (sin.f64 v)) |
(*.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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.015625 | (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) | |
| accuracy | 0.125 | (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) | |
| accuracy | 0.912816722781824 | #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 | 0.12109375 | (*.f64 e (sin.f64 v)) | |
| accuracy | 0.8348905671320959 | #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 v) e) | |
| accuracy | 1.271387921747119 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) e) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) | |
| accuracy | 0.015625 | (/.f64 e (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 31.50822987453748 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.01171875 | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 v) e) |
| 66.0ms | 256× | 0 | valid |
Compiled 156 to 23 computations (85.3% saved)
ival-add: 23.0ms (44.8% of total)ival-mult: 12.0ms (23.4% of total)ival-sin: 6.0ms (11.7% of total)ival-cos: 5.0ms (9.7% of total)ival-div: 4.0ms (7.8% of total)ival-neg: 1.0ms (1.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.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)))) (*.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) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(*.f64 e (sin.f64 v)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
| Outputs |
|---|
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
1 |
(+ 1 (* e (cos v))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
e |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
(+ 1 e) |
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ 1 (* -1 (* e (cos v)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(- 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 (/ (+ (* -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 (* -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)))) |
(/ (* 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 (* -1/2 (* 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))))))))) |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(cos v) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | v | @ | -inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* 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) (cos v)) |
| 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 (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* 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) (cos v)) |
| 3.0ms | v | @ | 0 | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* 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) (cos v)) |
| 2.0ms | 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 (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* 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) (cos v)) |
| 2.0ms | 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 (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* 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) (cos v)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 349 | 1431 |
| 1 | 1268 | 1344 |
| 2 | 4891 | 1316 |
| 0 | 8324 | 1227 |
| 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 |
(* 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)))) |
(/ (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 (/ 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 (/ (+ (* -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 (* -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)))) |
(/ (* 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 (* -1/2 (* 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))))))))) |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(cos v) |
| Outputs |
|---|
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) e)) e (sin.f64 v)) e) |
1 |
#s(literal 1 binary64) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* e v) |
(*.f64 e v) |
(* e (+ v (* -1 (* e v)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) |
(* e (+ v (* e (- (* e v) v)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 e v) v) e v) e) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (neg.f64 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 e #s(literal -1 binary64)) |
(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)) |
(/ (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 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))) |
(* 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 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) 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 e #s(literal -1 binary64)) |
(* -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 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (cos.f64 v))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e)) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e)) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) 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 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) 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 e #s(literal -1 binary64)))) (fma.f64 #s(literal -1/720 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64)))) e (*.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64)))))) (-.f64 e #s(literal -1 binary64))))) (*.f64 v v) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 e v)) |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v) v) #s(literal 1/6 binary64)) v) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (-.f64 e #s(literal -1 binary64))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (-.f64 e #s(literal -1 binary64))) |
(* e (* v (+ 1 (* -1 e)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) |
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))) |
(*.f64 (*.f64 e v) (fma.f64 (*.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) |
(* v (+ 1 (* -1 e))) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v) |
(+ 1 (* -1 e)) |
(-.f64 #s(literal 1 binary64) e) |
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) e) (-.f64 #s(literal 1 binary64) e)) |
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))) |
(-.f64 #s(literal 1 binary64) (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)) |
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/24 binary64) e)) v) v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) |
(+ 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)) |
(/ (* 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: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 151 |
| 0 | 43 | 145 |
| 1 | 136 | 145 |
| 2 | 687 | 142 |
| 3 | 6824 | 142 |
| 0 | 8042 | 142 |
| 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)))) (*.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) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
(*.f64 e (sin.f64 v)) |
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (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 (sin.f64 v)) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1 binary64)) e) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) e)) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)) e)) |
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(fma.f64 #s(literal 1 binary64) (cos.f64 v) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 v) (*.f64 #s(literal 0 binary64) (sin.f64 v))) |
(fma.f64 (cos.f64 v) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))) |
(fma.f64 (cos.f64 v) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 v))) |
(fma.f64 (sin.f64 v) #s(literal 0 binary64) (cos.f64 v)) |
(sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v)) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 v v) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 v v) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 (neg.f64 (cos.f64 v)) #s(literal 1 binary64))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 v)) |
(cos.f64 v) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v))))) (*.f64 (cos.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (*.f64 v v)))))) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64)) (cos.f64 v)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 v))) (cos.f64 v)) |
(+.f64 (*.f64 (neg.f64 (sin.f64 v)) #s(literal 0 binary64)) (cos.f64 v)) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (cos.f64 v)) |
(+.f64 (cos.f64 v) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))) |
(+.f64 (cos.f64 v) (*.f64 #s(literal 0 binary64) (sin.f64 v))) |
Compiled 21 150 to 2 274 computations (89.2% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 664 | 19 | 683 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 667 | 23 | 690 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 99.7% | (/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))) | |
| 98.5% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))))) | |
| ✓ | 98.5% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| ▶ | 99.8% | (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
| 91.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v)))) (*.f64 (sin.f64 v) (sin.f64 v))) (-.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (sin.f64 v))) e)) | |
| 69.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) #s(literal 3 binary64)) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (-.f64 (*.f64 (sin.f64 v) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (sin.f64 v))))) e)) | |
| 50.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) | |
| ✓ | 98.4% | #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)) |
| 98.1% | #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)) | |
| ▶ | 98.3% | #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)) |
| ✓ | 97.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| ▶ | 2.5% | #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)) |
| 50.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| ▶ | 49.7% | #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)) |
| 98.3% | #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)) | |
| 50.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) | |
| 2.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) | |
| ▶ | 50.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 68.3% | #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)))) | |
| 49.8% | #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))))) | |
| 49.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) | |
| 49.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
Compiled 1 280 to 777 computations (39.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) | |
| cost-diff | 0 | (*.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)) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 3 | (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) | |
| cost-diff | 0 | #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) | |
| cost-diff | 0 | #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)) | |
| 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 | (cos.f64 v) | |
| cost-diff | 0 | (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 404 |
| 0 | 74 | 400 |
| 1 | 123 | 379 |
| 2 | 222 | 379 |
| 3 | 595 | 379 |
| 4 | 2252 | 379 |
| 5 | 6334 | 379 |
| 0 | 8046 | 372 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
e |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) |
(*.f64 e v) |
e |
v |
#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)) |
(*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) |
#s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) e) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.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)) |
(*.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 (* (+ (* (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)) |
(*.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) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) |
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
#s(literal 1/2 binary64) |
e |
(fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1/6 binary64) |
v |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
#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 #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 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) |
#s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) |
(*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)) |
(-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) |
(cos.f64 v) |
v |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
(neg.f64 e) |
(sin.f64 v) |
| Outputs |
|---|
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
e |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 v e))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 v e)) |
(*.f64 e v) |
(*.f64 v e) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
(*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) |
#s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) e) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
(*.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) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e) |
#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)) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) 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) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) |
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) |
#s(literal 1/2 binary64) |
e |
(fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1/6 binary64) |
v |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
#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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))) (*.f64 (sin.f64 v) e))) |
(*.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 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))) (*.f64 (sin.f64 v) e)) |
(*.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)) |
(*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))) (sin.f64 v)) |
#s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) |
#s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))) |
(*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)) |
(*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) |
(-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) |
(cos.f64 v) |
v |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
(neg.f64 e) |
(sin.f64 v) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.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)) | |
| accuracy | 0.12109375 | (*.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) | |
| accuracy | 0.1328125 | (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)) | |
| accuracy | 0.5812988329066404 | #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)) | |
| accuracy | 0.12109375 | (*.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) | |
| accuracy | 0.31640625 | (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) | |
| accuracy | 0.5812988329066404 | #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)) | |
| accuracy | 31.7672812674345 | #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)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) | |
| accuracy | 31.267060598489273 | #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)) | |
| accuracy | 62.506335770000995 | #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) | |
| accuracy | 0.0 | (*.f64 e v) | |
| accuracy | 0.9075868261061311 | #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) | |
| accuracy | 31.267060598489273 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.00390625 | (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.1171875 | (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
| 108.0ms | 254× | 0 | valid |
| 15.0ms | 2× | 5 | exit |
Compiled 261 to 40 computations (84.7% saved)
ival-mult: 51.0ms (57.1% of total)ival-add: 8.0ms (9% of total)const: 7.0ms (7.8% of total)ival-div: 6.0ms (6.7% of total)ival-cos: 6.0ms (6.7% of total)ival-sin: 5.0ms (5.6% of total)ival-sub: 4.0ms (4.5% of total)adjust: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) |
(*.f64 e v) |
#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)) |
(*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) |
#s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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)) |
(*.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 (* (+ (* (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)) |
#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 #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 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) |
#s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) |
(sin.f64 v) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) |
(*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 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)))))) |
e |
(* e (+ 1 (* -1 (* e (cos v))))) |
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v))))) |
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos 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 (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
(/ -1 e) |
(/ (- e 1) e) |
-1/6 |
(- (* 2/3 e) 1/6) |
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ 1 (* -1 (* e (cos v)))) |
(* -1/6 v) |
(+ (* -1/6 v) (* 2/3 (* e v))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ 1 (cos v)) |
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) |
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2)))) |
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4))))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(- 1 (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))) |
(* 2/3 e) |
(* e (- 2/3 (* 1/6 (/ 1 e)))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -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))) |
(* 2/3 (* e v)) |
(* e (+ (* -1/6 (/ v e)) (* 2/3 v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (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 (* -1 (/ (- 1 (/ 1 e)) e))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3))) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v e))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ e (+ 1 e)) |
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e))) |
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(* e (* v (+ 1 (* -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))))))))) |
(* 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)))) |
(* v (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) |
(* -1 (* e (- 1 (/ 1 e)))) |
(+ (* -1 (* e (- 1 (/ 1 e)))) (* 1/2 (* e (pow v 2)))) |
(+ (* -1 (* e (- 1 (/ 1 e)))) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))) |
(+ (* -1 (* e (- 1 (/ 1 e)))) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ e (+ 1 (* e (cos v)))) |
(cos v) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | v | @ | 0 | ((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin 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) (sin v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (* (- (cos v) (/ 1 e)) (neg e))) |
| 16.0ms | v | @ | inf | ((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin 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) (sin v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (* (- (cos v) (/ 1 e)) (neg e))) |
| 4.0ms | v | @ | -inf | ((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin 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) (sin v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (* (- (cos v) (/ 1 e)) (neg e))) |
| 3.0ms | e | @ | -inf | ((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin 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) (sin v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (* (- (cos v) (/ 1 e)) (neg e))) |
| 3.0ms | e | @ | 0 | ((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin 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) (sin v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (* (- (cos v) (/ 1 e)) (neg e))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 429 | 1892 |
| 1 | 1483 | 1773 |
| 2 | 5662 | 1744 |
| 0 | 8285 | 1653 |
| 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)))))) |
e |
(* e (+ 1 (* -1 (* e (cos v))))) |
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v))))) |
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos 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 (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
(/ -1 e) |
(/ (- e 1) e) |
-1/6 |
(- (* 2/3 e) 1/6) |
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ 1 (* -1 (* e (cos v)))) |
(* -1/6 v) |
(+ (* -1/6 v) (* 2/3 (* e v))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ 1 (cos v)) |
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) |
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2)))) |
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4))))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(- 1 (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) |
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))) |
(* 2/3 e) |
(* e (- 2/3 (* 1/6 (/ 1 e)))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -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))) |
(* 2/3 (* e v)) |
(* e (+ (* -1/6 (/ v e)) (* 2/3 v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (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 (* -1 (/ (- 1 (/ 1 e)) e))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) |
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3))) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v e))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ e (+ 1 e)) |
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e))) |
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(* e (* v (+ 1 (* -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))))))))) |
(* 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)))) |
(* v (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) |
(* -1 (* e (- 1 (/ 1 e)))) |
(+ (* -1 (* e (- 1 (/ 1 e)))) (* 1/2 (* e (pow v 2)))) |
(+ (* -1 (* e (- 1 (/ 1 e)))) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))) |
(+ (* -1 (* e (- 1 (/ 1 e)))) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ e (+ 1 (* e (cos v)))) |
(cos v) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
| Outputs |
|---|
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) 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) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e (neg.f64 (cos.f64 v)))) e (sin.f64 v)) e) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e) |
e |
(* e (+ 1 (* -1 (* e (cos v))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e) |
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v))))) |
(fma.f64 (*.f64 e e) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v)) e) |
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v))))) |
(fma.f64 (*.f64 e e) (-.f64 (*.f64 (fma.f64 (neg.f64 e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) e) (cos.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 v e) |
(* 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 v e) 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 (+ 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) |
(/ (- e 1) e) |
(/.f64 (-.f64 e #s(literal 1 binary64)) e) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 2/3 e) 1/6) |
(-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) |
(sin v) |
(sin.f64 v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)) |
(+ 1 (* -1 (* e (cos v)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(* -1/6 v) |
(*.f64 #s(literal -1/6 binary64) v) |
(+ (* -1/6 v) (* 2/3 (* e v))) |
(*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (cos.f64 v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (pow.f64 e #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))) |
(/ 1 (cos v)) |
(/.f64 #s(literal 1 binary64) (cos.f64 v)) |
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2)))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4))))) |
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (pow.f64 e #s(literal 3 binary64)))) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
v |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(-.f64 (+.f64 (/.f64 (/.f64 v e) e) v) (/.f64 v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(-.f64 (-.f64 v (/.f64 v (pow.f64 e #s(literal 3 binary64)))) (/.f64 (-.f64 v (/.f64 v e)) e)) |
(- 1 (/ 1 e)) |
(/.f64 (-.f64 e #s(literal 1 binary64)) e) |
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 e #s(literal 1 binary64))) e) |
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 e #s(literal 1 binary64))) e) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64)))) |
(* 2/3 e) |
(*.f64 #s(literal 2/3 binary64) e) |
(* e (- 2/3 (* 1/6 (/ 1 e)))) |
(*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) e) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(*.f64 (*.f64 (neg.f64 e) e) (*.f64 (cos.f64 v) (sin.f64 v))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) |
(* -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))) |
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(* 2/3 (* e v)) |
(*.f64 (*.f64 #s(literal 2/3 binary64) e) v) |
(* e (+ (* -1/6 (/ v e)) (* 2/3 v))) |
(*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) (neg.f64 e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) |
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (neg.f64 e)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (neg.f64 e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e)) |
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 e #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 (-.f64 e #s(literal 1 binary64)) e) e)) e)) |
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 2/3 binary64)) (neg.f64 e)) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e) |
(* -1 (* e (- (cos v) (/ 1 e)))) |
(*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)) |
(* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v e))))) |
(*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e) |
(/ (* 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)) (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))) (+ (* -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)) |
(/ e (+ 1 e)) |
(/.f64 e (+.f64 #s(literal 1 binary64) e)) |
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) e) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e)) e) (+.f64 #s(literal 1 binary64) e)) |
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 v) v) (fma.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (neg.f64 v) v) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) |
(+ 1 e) |
(+.f64 #s(literal 1 binary64) e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) e)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) |
(+ 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)) |
(* e (* v (+ 1 (* -1 e)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) |
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))) |
(*.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(*.f64 (fma.f64 (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)) e (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) e))) v) |
(* v (+ 1 (* -1 e))) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))) |
(*.f64 (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)) v) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v) |
(+ 1 (* -1 e)) |
(-.f64 #s(literal 1 binary64) e) |
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2))))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) e)) |
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))) |
(-.f64 #s(literal 1 binary64) (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)) |
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/24 binary64) e)) v) v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) |
(* 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) |
(* v (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) |
(*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) |
(* -1 (* e (- 1 (/ 1 e)))) |
(*.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) (neg.f64 e)) |
(+ (* -1 (* e (- 1 (/ 1 e)))) (* 1/2 (* e (pow v 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) v (*.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) (neg.f64 e))) |
(+ (* -1 (* e (- 1 (/ 1 e)))) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal 1/2 binary64) e)) v) v (*.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) (neg.f64 e))) |
(+ (* -1 (* e (- 1 (/ 1 e)))) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/24 binary64) e)) v) v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) (*.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) (neg.f64 e))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/ e (+ 1 (* e (cos v)))) |
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(cos v) |
(cos.f64 v) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e) (sin.f64 v)) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 332 |
| 0 | 74 | 328 |
| 1 | 246 | 311 |
| 2 | 1644 | 304 |
| 0 | 8695 | 299 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) |
(*.f64 e v) |
#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)) |
(*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) |
#s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) |
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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)) |
(*.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 (* (+ (* (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)) |
#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 #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 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) |
#s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) |
(sin.f64 v) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) |
(*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.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))) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (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 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(*.f64 (sin.f64 v) (/.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))) (sin.f64 v)) |
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(*.f64 (/.f64 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 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) |
(*.f64 (/.f64 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 (neg.f64 (neg.f64 (neg.f64 e))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 e)) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 e) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(neg.f64 (/.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (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 (pow.f64 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.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 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))))) (-.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #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 (cos.f64 v) e #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 (cos.f64 v) e #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 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (fma.f64 (pow.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 -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 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 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.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 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (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 3 binary64)) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.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 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #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 (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))))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 (cos.f64 v) e))))) |
(/.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))) (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(/.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)))) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #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 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 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 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 (cos.f64 v) e)))) |
(/.f64 (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)))) |
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(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) e) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) e) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal -1/6 binary64)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) e) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e))) |
(+.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) |
#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 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e) |
(*.f64 e #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) (*.f64 (sin.f64 v) e))) |
(*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) e) (sin.f64 v)) |
(*.f64 (*.f64 e #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))) (sin.f64 v)) |
(*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) (sin.f64 v)) e) |
(*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) (*.f64 (sin.f64 v) e)) |
(*.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))) |
(*.f64 (sin.f64 v) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) e)) |
(*.f64 e (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) (sin.f64 v))) |
(*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) (sin.f64 v)) |
(*.f64 (sin.f64 v) #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))) |
#s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))) |
(sin.f64 v) |
(*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) |
(*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 e #s(literal 2/3 binary64)) v) (*.f64 (*.f64 e #s(literal 2/3 binary64)) v)) (*.f64 (*.f64 #s(literal -1/6 binary64) v) (*.f64 #s(literal -1/6 binary64) v))) (-.f64 (*.f64 (*.f64 e #s(literal 2/3 binary64)) v) (*.f64 #s(literal -1/6 binary64) v))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) (*.f64 (*.f64 #s(literal 1/2 binary64) e) v)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) (*.f64 (*.f64 #s(literal 1/2 binary64) e) v))) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v) (*.f64 (*.f64 #s(literal 1/2 binary64) e) v))) |
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 e #s(literal 2/3 binary64))) (*.f64 v (*.f64 e #s(literal 2/3 binary64)))) (*.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v #s(literal -1/6 binary64)))) (-.f64 (*.f64 v (*.f64 e #s(literal 2/3 binary64))) (*.f64 v #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v (*.f64 #s(literal 1/2 binary64) e))) (*.f64 (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))) (-.f64 (*.f64 v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 (*.f64 v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v (*.f64 #s(literal 1/2 binary64) e)))) (-.f64 (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (*.f64 v (*.f64 #s(literal 1/2 binary64) e)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 e #s(literal 2/3 binary64)) v) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) v) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 e #s(literal 2/3 binary64)) v) (*.f64 (*.f64 e #s(literal 2/3 binary64)) v) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) v) (*.f64 #s(literal -1/6 binary64) v)) (*.f64 (*.f64 (*.f64 e #s(literal 2/3 binary64)) v) (*.f64 #s(literal -1/6 binary64) v))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) (*.f64 (*.f64 #s(literal 1/2 binary64) e) v)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v) (*.f64 (*.f64 #s(literal 1/2 binary64) e) v))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 v (*.f64 e #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 v #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 v (*.f64 e #s(literal 2/3 binary64))) (*.f64 v (*.f64 e #s(literal 2/3 binary64))) (-.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v (*.f64 e #s(literal 2/3 binary64))) (*.f64 v #s(literal -1/6 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 v (*.f64 #s(literal 1/2 binary64) e)) #s(literal 3 binary64)) (pow.f64 (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v (*.f64 #s(literal 1/2 binary64) e)) (-.f64 (*.f64 (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 (*.f64 v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 v (*.f64 #s(literal 1/2 binary64) e)) #s(literal 3 binary64))) (fma.f64 (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v (*.f64 #s(literal 1/2 binary64) e))) (*.f64 (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (*.f64 v (*.f64 #s(literal 1/2 binary64) e)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) e) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64))) v)) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))) v)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))))) |
(/.f64 (neg.f64 (*.f64 v (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) e) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 v (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) e) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64))) v) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))) v) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))) |
(/.f64 (*.f64 v (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) e) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 v (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))) |
(fma.f64 (*.f64 e #s(literal 2/3 binary64)) v (*.f64 #s(literal -1/6 binary64) v)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) e) v (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v (*.f64 (*.f64 #s(literal 1/2 binary64) e) v)) |
(fma.f64 v (*.f64 e #s(literal 2/3 binary64)) (*.f64 v #s(literal -1/6 binary64))) |
(fma.f64 v (*.f64 #s(literal 1/2 binary64) e) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) |
(fma.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 v (*.f64 #s(literal 1/2 binary64) e))) |
(+.f64 (*.f64 (*.f64 e #s(literal 2/3 binary64)) v) (*.f64 #s(literal -1/6 binary64) v)) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v)) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v) (*.f64 (*.f64 #s(literal 1/2 binary64) e) v)) |
(+.f64 (*.f64 v (*.f64 e #s(literal 2/3 binary64))) (*.f64 v #s(literal -1/6 binary64))) |
(+.f64 (*.f64 v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (*.f64 v (*.f64 #s(literal 1/2 binary64) e))) |
(*.f64 (neg.f64 (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) e) |
(*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) |
(*.f64 (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (neg.f64 e))) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (neg.f64 e))) (neg.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (/.f64 (fma.f64 (cos.f64 v) #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))) e)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))))) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (-.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))))) (neg.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (/.f64 (fma.f64 (cos.f64 v) #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))) e)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (neg.f64 e)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (neg.f64 e)) (fma.f64 (cos.f64 v) (cos.f64 v) (/.f64 (fma.f64 (cos.f64 v) #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))) e))) |
(/.f64 (*.f64 (neg.f64 e) (-.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)) (cos.f64 v))) |
(/.f64 (*.f64 (neg.f64 e) (-.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (cos.f64 v) (/.f64 (fma.f64 (cos.f64 v) #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))) e))) |
(neg.f64 (*.f64 (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) e)) |
Compiled 14 592 to 2 101 computations (85.6% saved)
24 alts after pruning (18 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 353 | 5 | 358 |
| Fresh | 1 | 13 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 357 | 24 | 381 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ▶ | 99.7% | (/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))) |
| 98.5% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))))) | |
| ✓ | 98.5% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| ✓ | 99.8% | (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
| 91.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v)))) (*.f64 (sin.f64 v) (sin.f64 v))) (-.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (sin.f64 v))) e)) | |
| 69.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) #s(literal 3 binary64)) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (-.f64 (*.f64 (sin.f64 v) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (sin.f64 v))))) e)) | |
| ▶ | 50.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
| ✓ | 98.4% | #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)) |
| 27.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (neg.f64 e)) (fma.f64 (cos.f64 v) (cos.f64 v) (/.f64 (fma.f64 (cos.f64 v) #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))) e)))) (sin.f64 v)) e)) | |
| 98.1% | #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)) | |
| 98.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) #s(approx (* (- (cos v) (/ 1 e)) (neg e)) (*.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) (neg.f64 e)))) (sin.f64 v)) e)) | |
| ✓ | 97.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| 50.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 2.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) | |
| 49.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 98.3% | #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)) | |
| ▶ | 50.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
| 2.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) | |
| ✓ | 50.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| ▶ | 68.3% | #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)))) |
| 49.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))) | |
| ▶ | 49.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
| 49.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
Compiled 1 377 to 832 computations (39.6% saved)
| 1× | egg-herbie |
Found 20 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 | #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) | |
| cost-diff | 2 | (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) e) | |
| cost-diff | 0 | (/.f64 v (+.f64 #s(literal 1 binary64) e)) | |
| cost-diff | 0 | (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) e) v) | |
| cost-diff | 0 | #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e) | |
| cost-diff | 0 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) | |
| cost-diff | 0 | #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) | |
| cost-diff | 0 | (sin.f64 v) | |
| cost-diff | 0 | (*.f64 (sin.f64 v) e) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 408 |
| 0 | 84 | 408 |
| 1 | 147 | 403 |
| 2 | 331 | 398 |
| 3 | 1071 | 398 |
| 4 | 3697 | 391 |
| 5 | 6999 | 391 |
| 0 | 8678 | 377 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
v |
e |
#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) |
(*.f64 (-.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) |
(neg.f64 e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(/.f64 v (+.f64 #s(literal 1 binary64) e)) |
v |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
(*.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) |
(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) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) |
(*.f64 (*.f64 v v) e) |
(*.f64 v v) |
v |
e |
#s(literal 1/120 binary64) |
(*.f64 #s(literal -1/6 binary64) e) |
#s(literal -1/6 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.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) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
v |
e |
#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) |
#s(approx (+ (* (cos v) e) 1) (*.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)) |
(*.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)) |
(neg.f64 (cos.f64 v)) |
(cos.f64 v) |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
(neg.f64 e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(-.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
v |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(/.f64 v (+.f64 #s(literal 1 binary64) e)) |
v |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 e (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) (pow.f64 v #s(literal 3 binary64)) v)))) |
#s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
#s(approx (* (sin v) e) (*.f64 e (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) (pow.f64 v #s(literal 3 binary64)) 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) |
(*.f64 e (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) (pow.f64 v #s(literal 3 binary64)) v)) |
(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) |
(*.f64 e (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) e) |
(*.f64 (*.f64 v v) e) |
(*.f64 v v) |
v |
e |
#s(literal 1/120 binary64) |
(*.f64 #s(literal -1/6 binary64) e) |
#s(literal -1/6 binary64) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.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 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.109375 | (/.f64 (sin.f64 v) e) | |
| accuracy | 0.17578125 | (*.f64 (cos.f64 v) (sin.f64 v)) | |
| accuracy | 0.912816722781824 | #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 | 19.404047357818584 | (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)) | |
| accuracy | 0.3671875 | (*.f64 #s(literal -1/6 binary64) e) | |
| accuracy | 1.271387921747119 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) | |
| accuracy | 8.952749754576562 | (*.f64 (*.f64 v v) e) | |
| accuracy | 32.005404838157716 | #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) | |
| accuracy | 0.0 | (/.f64 v (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) e) | |
| accuracy | 0.0 | (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) | |
| accuracy | 31.50822987453748 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) e) v) | |
| accuracy | 0.125 | (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e) | |
| accuracy | 0.912816722781824 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) | |
| accuracy | 31.749520840516446 | #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) | |
| accuracy | 0.0078125 | (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.01171875 | (/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 v) e) | |
| accuracy | 0.1328125 | (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)) |
| 87.0ms | 256× | 0 | valid |
Compiled 270 to 44 computations (83.7% saved)
ival-mult: 29.0ms (42.4% of total)ival-div: 8.0ms (11.7% of total)const: 8.0ms (11.7% of total)ival-add: 7.0ms (10.2% of total)ival-sin: 6.0ms (8.8% of total)ival-cos: 5.0ms (7.3% of total)ival-sub: 3.0ms (4.4% of total)ival-neg: 2.0ms (2.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(/.f64 v (+.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal 1 binary64) e) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
(-.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)) |
(*.f64 (-.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)) |
(*.f64 (*.f64 v v) e) |
(*.f64 #s(literal -1/6 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))) |
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
v |
(+ v (* -1 (* e v))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
(+ v (* e (- (* e v) v))) |
(+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))) |
(+ 1 e) |
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))) |
(* e (- (* 1/120 (pow v 2)) 1/6)) |
(/ (sin v) e) |
(/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) e) |
(/ -1 e) |
(/ (- (* -1 (* e (cos v))) 1) e) |
(* e (pow v 2)) |
(* -1/6 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))))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* e (* (cos v) (sin v)))) |
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* e v)) |
(* e (+ (* -1 v) (/ v e))) |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(/ v e) |
(/ (+ v (* -1 (/ v e))) e) |
(/ (- (+ v (/ v (pow e 2))) (/ v e)) e) |
(/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e) |
e |
(* e (+ 1 (/ 1 e))) |
(* -1 (* (cos v) (sin v))) |
(- (/ (sin v) e) (* (cos v) (sin v))) |
(* -1 (cos v)) |
(* -1 (+ (cos v) (/ 1 e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(* -1 (* e (+ v (* -1 (/ v e))))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(* -1 (/ (+ (* -1 v) (/ v e)) e)) |
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e)) |
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e)) |
(* -1 (* e (* v (- (* (pow v 2) (+ 1/6 (* -1/120 (pow v 2)))) 1)))) |
(* -1 (* e (+ 1/6 (* -1/120 (pow v 2))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(* 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))))))))))))))) |
(* v (- 1 e)) |
(/ v (+ 1 e)) |
(+ (* -1/6 e) (* 1/120 (* e (pow v 2)))) |
(* v (- (/ 1 e) 1)) |
(* v (- (+ (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (+ (* 1/120 (/ 1 e)) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(* (pow e 2) (* v (- (/ 1 e) 1))) |
(* v (+ (* (pow e 2) (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e))))) (* (pow e 2) (- (/ 1 e) 1)))) |
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))))))) |
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) (* (pow e 2) (- (* 1/120 (/ 1 e)) 2/15)))))))) |
(+ (* -1/2 (* 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))) |
(* 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 (+ (* -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)))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(* 1/120 (* e (pow v 5))) |
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e))) |
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4))))) |
(* 1/120 (* e (pow v 2))) |
(* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e))) |
(* (pow e 2) (- (/ (sin v) e) (* (cos v) (sin v)))) |
(* (cos v) (sin v)) |
(* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))) |
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 421.0ms | 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)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ v (+ 1 e)) e) (/ v (+ 1 e)) (+ 1 e) (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (- (/ (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)) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (- (neg (cos v)) (/ 1 e)) (* (* v v) e) (* -1/6 e) (* (cos v) (sin v)) (/ (sin v) e)) |
| 10.0ms | v | @ | 0 | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ v (+ 1 e)) e) (/ v (+ 1 e)) (+ 1 e) (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (- (/ (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)) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (- (neg (cos v)) (/ 1 e)) (* (* v v) e) (* -1/6 e) (* (cos v) (sin v)) (/ (sin v) e)) |
| 5.0ms | v | @ | -inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ v (+ 1 e)) e) (/ v (+ 1 e)) (+ 1 e) (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (- (/ (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)) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (- (neg (cos v)) (/ 1 e)) (* (* v v) e) (* -1/6 e) (* (cos v) (sin v)) (/ (sin v) e)) |
| 5.0ms | v | @ | inf | ((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ v (+ 1 e)) e) (/ v (+ 1 e)) (+ 1 e) (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (- (/ (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)) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (- (neg (cos v)) (/ 1 e)) (* (* v v) e) (* -1/6 e) (* (cos v) (sin v)) (/ (sin v) e)) |
| 4.0ms | 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)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ v (+ 1 e)) e) (/ v (+ 1 e)) (+ 1 e) (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (- (/ (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)) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (- (neg (cos v)) (/ 1 e)) (* (* v v) e) (* -1/6 e) (* (cos v) (sin v)) (/ (sin v) e)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 462 | 2030 |
| 1 | 1661 | 1931 |
| 2 | 6449 | 1885 |
| 0 | 8182 | 1765 |
| 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))) |
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
v |
(+ v (* -1 (* e v))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
(+ v (* e (- (* e v) v))) |
(+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))) |
(+ 1 e) |
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))) |
(* e (- (* 1/120 (pow v 2)) 1/6)) |
(/ (sin v) e) |
(/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) e) |
(/ -1 e) |
(/ (- (* -1 (* e (cos v))) 1) e) |
(* e (pow v 2)) |
(* -1/6 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))))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* e (* (cos v) (sin v)))) |
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* e v)) |
(* e (+ (* -1 v) (/ v e))) |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(/ v e) |
(/ (+ v (* -1 (/ v e))) e) |
(/ (- (+ v (/ v (pow e 2))) (/ v e)) e) |
(/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e) |
e |
(* e (+ 1 (/ 1 e))) |
(* -1 (* (cos v) (sin v))) |
(- (/ (sin v) e) (* (cos v) (sin v))) |
(* -1 (cos v)) |
(* -1 (+ (cos v) (/ 1 e))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(* -1 (* e (+ v (* -1 (/ v e))))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(* -1 (/ (+ (* -1 v) (/ v e)) e)) |
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e)) |
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e)) |
(* -1 (* e (* v (- (* (pow v 2) (+ 1/6 (* -1/120 (pow v 2)))) 1)))) |
(* -1 (* e (+ 1/6 (* -1/120 (pow v 2))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(* 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))))))))))))))) |
(* v (- 1 e)) |
(/ v (+ 1 e)) |
(+ (* -1/6 e) (* 1/120 (* e (pow v 2)))) |
(* v (- (/ 1 e) 1)) |
(* v (- (+ (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (+ (* 1/120 (/ 1 e)) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1)) |
(* (pow e 2) (* v (- (/ 1 e) 1))) |
(* v (+ (* (pow e 2) (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e))))) (* (pow e 2) (- (/ 1 e) 1)))) |
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))))))) |
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) (* (pow e 2) (- (* 1/120 (/ 1 e)) 2/15)))))))) |
(+ (* -1/2 (* 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))) |
(* 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 (+ (* -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)))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(* 1/120 (* e (pow v 5))) |
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e))) |
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4))))) |
(* 1/120 (* e (pow v 2))) |
(* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e))) |
(* (pow e 2) (- (/ (sin v) e) (* (cos v) (sin v)))) |
(* (cos v) (sin v)) |
(* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))) |
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))) |
| Outputs |
|---|
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e (sin.f64 v)) e) |
1 |
#s(literal 1 binary64) |
(+ 1 (* e (cos v))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(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)) |
v |
(+ v (* -1 (* e v))) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(* 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) |
(+ v (* e (- (* e v) v))) |
(fma.f64 (-.f64 (*.f64 e v) v) e v) |
(+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v) v) e v) |
(+ 1 e) |
(+.f64 #s(literal 1 binary64) e) |
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))) |
(*.f64 (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) e) |
(* e (- (* 1/120 (pow v 2)) 1/6)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 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 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 (pow v 2)) |
(*.f64 (*.f64 v v) e) |
(* -1/6 e) |
(*.f64 #s(literal -1/6 binary64) e) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(-.f64 (/.f64 (+.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 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 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e))) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(*.f64 (*.f64 (neg.f64 e) e) (*.f64 (sin.f64 v) (cos.f64 v))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))) (*.f64 e e)) |
(* -1 (* e (* (cos v) (sin v)))) |
(*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (cos.f64 v))) |
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))) e) |
(* -1 (* e v)) |
(*.f64 (neg.f64 e) v) |
(* e (+ (* -1 v) (/ v e))) |
(*.f64 (-.f64 (/.f64 v e) v) e) |
(+ v (* -1 (/ v e))) |
(-.f64 v (/.f64 v e)) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(+.f64 (/.f64 (-.f64 (/.f64 v e) v) e) v) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
(-.f64 v (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 v e) v) e) v) e)) |
(/ v e) |
(/.f64 v e) |
(/ (+ v (* -1 (/ v e))) e) |
(/.f64 (-.f64 v (/.f64 v e)) e) |
(/ (- (+ v (/ v (pow e 2))) (/ v e)) e) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 v e) v) e) v) e) |
(/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e) |
(/.f64 (-.f64 v (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 v e) v) e) v) e)) e) |
e |
(* e (+ 1 (/ 1 e))) |
(+.f64 #s(literal 1 binary64) e) |
(* -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 (sin.f64 v) (cos.f64 v))) |
(* -1 (cos v)) |
(neg.f64 (cos.f64 v)) |
(* -1 (+ (cos v) (/ 1 e))) |
(fma.f64 #s(literal -1 binary64) (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e) #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 (-.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) #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))) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))) e) |
(* -1 (* e (+ v (* -1 (/ v e))))) |
(*.f64 (-.f64 (/.f64 v e) v) 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 v) (/ v e)) e)) |
(/.f64 (-.f64 (/.f64 v e) v) (neg.f64 e)) |
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e)) |
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 v e) v) e) v) e) #s(literal 1 binary64)) |
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e)) |
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 v e) v) e) v) e) #s(literal 1 binary64) (neg.f64 v)) (neg.f64 e)) |
(* -1 (* e (* v (- (* (pow v 2) (+ 1/6 (* -1/120 (pow v 2)))) 1)))) |
(*.f64 (*.f64 (neg.f64 e) v) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal 1/6 binary64)) v) v) #s(literal 1 binary64))) |
(* -1 (* e (+ 1/6 (* -1/120 (pow v 2))))) |
(*.f64 (neg.f64 e) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal 1/6 binary64))) |
(/ (* e v) (+ 1 e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(* 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(* v (+ (* (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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64)) (/.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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) e (*.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64)) (/.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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64)) (/.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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) e (*.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64))) (*.f64 v v) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (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 (* -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 (* 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) |
(* v (+ 1 (* -1 e))) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v) |
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v) |
(* v (- 1 e)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(/ v (+ 1 e)) |
(/.f64 v (+.f64 #s(literal 1 binary64) e)) |
(+ (* -1/6 e) (* 1/120 (* e (pow v 2)))) |
(fma.f64 #s(literal -1/6 binary64) e (*.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 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) |
(* (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 (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)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) 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) |
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) e) (+.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 #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)) |
(+ (* 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 #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 (/ 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))) |
(* 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 (+ (* -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)))) |
(* 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)) |
(* 1/120 (* e (pow v 5))) |
(*.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) e) #s(literal 1/120 binary64)) |
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e))) |
(*.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) e)) (pow.f64 v #s(literal 5 binary64))) |
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) v) (/.f64 e v) (fma.f64 #s(literal 1/120 binary64) e (/.f64 e (pow.f64 v #s(literal 4 binary64))))) (pow.f64 v #s(literal 5 binary64))) |
(* 1/120 (* e (pow v 2))) |
(*.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64)) |
(* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e))) |
(*.f64 (*.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) e)) v) v) |
(* (pow e 2) (- (/ (sin v) e) (* (cos v) (sin v)))) |
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))) (*.f64 e e)) |
(* (cos v) (sin v)) |
(*.f64 (sin.f64 v) (cos.f64 v)) |
(* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (fma.f64 (/.f64 e (*.f64 v v)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) e))) |
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (fma.f64 #s(literal -1/120 binary64) e (fma.f64 (/.f64 e v) (/.f64 #s(literal 1/6 binary64) v) (/.f64 (neg.f64 e) (pow.f64 v #s(literal 4 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 355 |
| 0 | 84 | 355 |
| 1 | 262 | 350 |
| 2 | 1685 | 350 |
| 0 | 9403 | 339 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(/.f64 v (+.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal 1 binary64) e) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) |
(-.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)) |
(*.f64 (-.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)) |
(*.f64 (*.f64 v v) e) |
(*.f64 #s(literal -1/6 binary64) e) |
(*.f64 (cos.f64 v) (sin.f64 v)) |
(/.f64 (sin.f64 v) e) |
| Outputs |
|---|
(*.f64 (/.f64 e #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))) (sin.f64 v)) |
(*.f64 e (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))) |
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (neg.f64 #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))))) |
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (neg.f64 #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))) |
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))))) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(sin.f64 v) |
#s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e) |
(*.f64 e #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))))) (/.f64 v (fma.f64 e (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (fma.f64 e (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) |
(*.f64 (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) e)) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(*.f64 v (-.f64 #s(literal 1 binary64) e)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) v)) (+.f64 #s(literal -1 binary64) (neg.f64 e))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))) v)) (neg.f64 (fma.f64 e (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 #s(literal -1 binary64) (neg.f64 e))) |
(/.f64 (neg.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))))) (neg.f64 (fma.f64 e (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) v) (+.f64 #s(literal 1 binary64) e)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))) v) (fma.f64 e (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) |
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e))) (+.f64 #s(literal 1 binary64) e)) |
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64)))) (fma.f64 e (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(*.f64 (/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))))) (/.f64 v (fma.f64 e (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) |
(*.f64 (/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))))) (/.f64 e (fma.f64 e (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) |
(*.f64 (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)) |
(*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e) |
(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))) |
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 v) e)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) |
(/.f64 (neg.f64 (*.f64 e (neg.f64 v))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 e v))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) |
(/.f64 (*.f64 (*.f64 e v) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal -1 binary64) (neg.f64 e)))) |
(/.f64 (*.f64 (*.f64 e v) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (neg.f64 (fma.f64 e (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (fma.f64 e (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 e e) e) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) e)))) |
(/.f64 (*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 e e) e) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 e e) e) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) e)))))) |
(/.f64 (*.f64 (neg.f64 v) e) (+.f64 #s(literal -1 binary64) (neg.f64 e))) |
(/.f64 (*.f64 e (neg.f64 v)) (+.f64 #s(literal -1 binary64) (neg.f64 e))) |
(/.f64 (neg.f64 (*.f64 e v)) (+.f64 #s(literal -1 binary64) (neg.f64 e))) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)) |
(*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 v (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal -1 binary64) (neg.f64 e)))) |
(/.f64 (*.f64 v (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (neg.f64 (fma.f64 e (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) |
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 e e) e) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) e)))) |
(/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 e e) e) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 e e) e) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) e)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 v))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e))))) |
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (fma.f64 e (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) |
(/.f64 (neg.f64 v) (+.f64 #s(literal -1 binary64) (neg.f64 e))) |
(/.f64 v (+.f64 #s(literal 1 binary64) e)) |
(neg.f64 (/.f64 (neg.f64 v) (+.f64 #s(literal 1 binary64) e))) |
(neg.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (neg.f64 e)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64)))) (fma.f64 e (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (+.f64 #s(literal 1 binary64) e)) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 e #s(literal 3 binary64)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 e #s(literal 3 binary64)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 e #s(literal 3 binary64)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64))) (neg.f64 (-.f64 e #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) e)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e e e) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 e e e)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e e e) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 e e e) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 e e e)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 (*.f64 e e) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 e #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (neg.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (neg.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (fma.f64 e e (-.f64 #s(literal 1 binary64) e)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (neg.f64 (-.f64 #s(literal 1 binary64) e)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 e #s(literal 3 binary64)))) (*.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e))) (neg.f64 (-.f64 #s(literal 1 binary64) e))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) |
(/.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 e e (-.f64 #s(literal 1 binary64) e))) |
(/.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 e))) (sqrt.f64 (neg.f64 (neg.f64 e))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 e)) (sqrt.f64 (neg.f64 e)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 e) (sqrt.f64 e) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) e #s(literal 1 binary64)) |
(fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 e e) (-.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))) |
(+.f64 (/.f64 (pow.f64 e #s(literal 3 binary64)) (fma.f64 e e (-.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1 binary64) (fma.f64 e e (-.f64 #s(literal 1 binary64) e)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e (-.f64 #s(literal 1 binary64) e))) (/.f64 (pow.f64 e #s(literal 3 binary64)) (fma.f64 e e (-.f64 #s(literal 1 binary64) e)))) |
(+.f64 (/.f64 (pow.f64 e #s(literal 3 binary64)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))) |
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(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/6 binary64) e)) |
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(-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 v) e) #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 (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 (/.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) (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e))))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e e) (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (neg.f64 e)) (neg.f64 e)) |
(*.f64 (*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) e) e) |
(*.f64 (*.f64 e e) (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e))) |
(*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)) |
(*.f64 (neg.f64 e) (*.f64 (neg.f64 e) (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)))) |
(*.f64 e (*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) 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)))) |
(/.f64 (neg.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))) (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 (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)))) |
(*.f64 (neg.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))) e) |
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (neg.f64 e))) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 e #s(literal -3 binary64))) (neg.f64 e))) (neg.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))))) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (-.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 e #s(literal -3 binary64))))) (neg.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (neg.f64 e)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) |
(/.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 e #s(literal -3 binary64))) (neg.f64 e)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) |
(/.f64 (*.f64 (neg.f64 e) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) |
(/.f64 (*.f64 (neg.f64 e) (-.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) e)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 e #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (*.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))) (pow.f64 e #s(literal -2 binary64)))) (*.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) (*.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))) (pow.f64 e #s(literal -3 binary64)))) (*.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) |
(/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))) |
(-.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) (/.f64 (pow.f64 e #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))) |
(-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (/.f64 (*.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))))) |
(*.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)) |
(*.f64 #s(literal -1/6 binary64) e) |
(*.f64 e #s(literal -1/6 binary64)) |
(*.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 17 803 to 2 186 computations (87.7% saved)
24 alts after pruning (16 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 397 | 8 | 405 |
| Fresh | 5 | 8 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 405 | 24 | 429 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 97.7% | (/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))) | |
| 98.5% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))))) | |
| ✓ | 98.5% | (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) |
| ✓ | 99.8% | (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
| 91.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v)))) (*.f64 (sin.f64 v) (sin.f64 v))) (-.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (sin.f64 v))) e)) | |
| 69.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) #s(literal 3 binary64)) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (-.f64 (*.f64 (sin.f64 v) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (sin.f64 v))))) e)) | |
| ✓ | 50.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
| ✓ | 98.4% | #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)) |
| 27.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (neg.f64 e)) (fma.f64 (cos.f64 v) (cos.f64 v) (/.f64 (fma.f64 (cos.f64 v) #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))) e)))) (sin.f64 v)) e)) | |
| 98.1% | #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)) | |
| ✓ | 97.8% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| 50.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 49.7% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 98.3% | #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 (sin.f64 v) (cos.f64 v))) e)) e)) | |
| ✓ | 50.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
| 49.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e)) | |
| 28.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e)) | |
| ✓ | 50.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 55.5% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (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))))) | |
| 67.7% | #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)))) | |
| 44.2% | #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)))) | |
| 49.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) | |
| 49.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) e)) (*.f64 v v) e) v))) |
Compiled 2 060 to 739 computations (64.1% 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 (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) 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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) #s(approx (* (- (cos v) (/ 1 e)) (neg e)) (*.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) (neg.f64 e)))) (sin.f64 v)) e)) |
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.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 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (*.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 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 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)))) (*.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)) |
#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 (sin.f64 v) (cos.f64 v))) e)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (neg.f64 e)) (fma.f64 (cos.f64 v) (cos.f64 v) (/.f64 (fma.f64 (cos.f64 v) #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))) e)))) (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 (-.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 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v)))) (*.f64 (sin.f64 v) (sin.f64 v))) (-.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (sin.f64 v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) #s(literal 3 binary64)) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (-.f64 (*.f64 (sin.f64 v) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 e (sin.f64 v))) (sin.f64 v))))) e)) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
3 calls:
| 10.0ms | v |
| 9.0ms | e |
| 9.0ms | (/.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 (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) 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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) #s(approx (* (- (cos v) (/ 1 e)) (neg e)) (*.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) (neg.f64 e)))) (sin.f64 v)) e)) |
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.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 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| Outputs |
|---|
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
3 calls:
| 7.0ms | 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 |
|---|---|---|
| 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 (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) 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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) #s(approx (* (- (cos v) (/ 1 e)) (neg e)) (*.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) (neg.f64 e)))) (sin.f64 v)) e)) |
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))) |
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.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)) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))))) |
3 calls:
| 8.0ms | e |
| 7.0ms | v |
| 6.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 98.5% | 1 | e |
| 98.5% | 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 (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) 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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) #s(approx (* (- (cos v) (/ 1 e)) (neg e)) (*.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) (neg.f64 e)))) (sin.f64 v)) e)) |
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) 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 |
|---|---|---|
| 98.5% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 98.5% | 1 | e |
| 98.5% | 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 (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) 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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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:
| 7.0ms | v |
| 5.0ms | e |
| 5.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 98.1% | 1 | e |
| 98.1% | 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 (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) 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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) |
3 calls:
| 5.0ms | v |
| 5.0ms | e |
| 5.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 97.8% | 1 | e |
| 97.8% | 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 (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) 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)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) e)) (*.f64 v v) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
3 calls:
| 5.0ms | v |
| 5.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 5.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 50.8% | 1 | e |
| 50.8% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#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)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
3 calls:
| 3.0ms | v |
| 3.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 3.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 50.8% | 1 | v |
| 50.8% | 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 (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
3 calls:
| 2.0ms | v |
| 2.0ms | e |
| 2.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 50.4% | 1 | v |
| 50.4% | 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 (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
3 calls:
| 2.0ms | 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 |
|---|---|---|
| 50.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 50.4% | 1 | e |
| 50.4% | 1 | v |
Compiled 13 to 13 computations (0% saved)
Total -14.9b remaining (-46.6%)
Threshold costs -14.9b (-46.6%)
| 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 (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e)) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
3 calls:
| 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 |
|---|---|---|
| 50.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 50.1% | 1 | v |
| 50.1% | 1 | e |
Compiled 13 to 13 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 226 |
| 1 | 91 | 224 |
| 2 | 142 | 224 |
| 3 | 236 | 224 |
| 4 | 500 | 224 |
| 5 | 1103 | 224 |
| 6 | 2194 | 224 |
| 7 | 4059 | 224 |
| 1× | node limit |
| Inputs |
|---|
(/.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 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.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 (/ (* 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 v (+.f64 #s(literal 1 binary64) e)) 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)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 v) 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 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.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 (-.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (+.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 (/ (* 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 v (+.f64 #s(literal 1 binary64) e)) 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)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 151 |
| 0 | 43 | 145 |
| 1 | 136 | 145 |
| 2 | 687 | 142 |
| 3 | 6824 | 142 |
| 0 | 8042 | 142 |
| 0 | 9 | 29 |
| 0 | 15 | 29 |
| 1 | 49 | 29 |
| 2 | 256 | 29 |
| 3 | 2195 | 29 |
| 0 | 9771 | 27 |
| 0 | 195 | 841 |
| 1 | 643 | 829 |
| 2 | 2192 | 788 |
| 3 | 7356 | 761 |
| 0 | 8175 | 705 |
| 0 | 349 | 1431 |
| 1 | 1268 | 1344 |
| 2 | 4891 | 1316 |
| 0 | 8324 | 1227 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 226 to 60 computations (73.5% saved)
(negabs v)
Compiled 514 to 170 computations (66.9% saved)
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