
Time bar (total: 6.3s)
| 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)
| 926.0ms | 8 256× | 0 | valid |
ival-sin: 263.0ms (36.6% of total)ival-cos: 167.0ms (23.3% of total)ival-mult: 111.0ms (15.5% of total)ival-div: 58.0ms (8.1% of total)ival-<=: 53.0ms (7.4% of total)ival-add: 40.0ms (5.6% of total)ival-and: 12.0ms (1.7% of total)exact: 12.0ms (1.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | e |
| 0 | 0 | - | 0 | - | (*.f64 e (cos.f64 v)) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (sin.f64 v) |
| 0 | 0 | - | 0 | - | (*.f64 e (sin.f64 v)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
| 0 | 0 | - | 0 | - | (cos.f64 v) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 66.0ms | 512× | 0 | valid |
Compiled 111 to 40 computations (64% saved)
ival-sin: 19.0ms (42.8% of total)ival-cos: 12.0ms (27% of total)ival-mult: 7.0ms (15.8% of total)ival-div: 3.0ms (6.8% of total)ival-add: 3.0ms (6.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 61 |
| 1 | 85 | 57 |
| 2 | 212 | 55 |
| 3 | 689 | 55 |
| 4 | 2082 | 55 |
| 5 | 4040 | 55 |
| 6 | 6196 | 55 |
| 0 | 9 | 11 |
| 0 | 15 | 11 |
| 1 | 32 | 11 |
| 2 | 63 | 11 |
| 3 | 147 | 11 |
| 4 | 434 | 11 |
| 5 | 1189 | 11 |
| 6 | 2866 | 11 |
| 7 | 5531 | 11 |
| 0 | 8151 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(negabs v)
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 11 to 9 computations (18.2% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.03515625 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| accuracy | 0.1171875 | (*.f64 e (cos.f64 v)) | |
| accuracy | 0.140625 | (*.f64 e (sin.f64 v)) |
| 31.0ms | 256× | 0 | valid |
Compiled 66 to 20 computations (69.7% saved)
ival-cos: 7.0ms (30.7% of total)ival-sin: 7.0ms (30.7% of total)ival-div: 5.0ms (21.9% of total)ival-mult: 3.0ms (13.1% of total)ival-add: 1.0ms (4.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 e (sin.f64 v)) |
(*.f64 e (cos.f64 v)) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(cos.f64 v) |
| Outputs |
|---|
(* e (sin v)) |
(* e (cos v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
1 |
(+ 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)))) |
(cos v) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | e | @ | inf | ((* e (sin v)) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v)) |
| 2.0ms | e | @ | -inf | ((* e (sin v)) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v)) |
| 2.0ms | e | @ | 0 | ((* e (sin v)) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v)) |
| 2.0ms | v | @ | 0 | ((* e (sin v)) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v)) |
| 1.0ms | v | @ | -inf | ((* e (sin v)) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 711 |
| 1 | 577 | 694 |
| 2 | 2143 | 668 |
| 0 | 8006 | 626 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* e (sin v)) |
(* e (cos v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
1 |
(+ 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)))) |
(cos v) |
| Outputs |
|---|
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (cos v)) |
(*.f64 (cos.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) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(-.f64 (/.f64 (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 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)) |
(* e v) |
(*.f64 v e) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 v e)) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) 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 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (fma.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)) e (*.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (fma.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)) e (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/5040 binary64)) (fma.f64 (*.f64 #s(literal -1/720 binary64) e) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) e) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 #s(literal 1/24 binary64) e))) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow v 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(cos v) |
(cos.f64 v) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 0 | 15 | 21 |
| 1 | 53 | 21 |
| 2 | 334 | 21 |
| 3 | 3313 | 21 |
| 0 | 8715 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 e (sin.f64 v)) |
(*.f64 e (cos.f64 v)) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(cos.f64 v) |
| Outputs |
|---|
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 e) (sin.f64 v))) |
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) |
(*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (*.f64 (sin.f64 v) #s(literal 1 binary64))) |
(*.f64 e (sin.f64 v)) |
(neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v))) |
(*.f64 (fabs.f64 (*.f64 (cos.f64 v) #s(literal -1 binary64))) (fabs.f64 e)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 e))) (fabs.f64 (cos.f64 v))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 v) e) (neg.f64 e))) (sqrt.f64 (cos.f64 v))) |
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 (cos.f64 v)) (*.f64 e e))) (sqrt.f64 (fabs.f64 (cos.f64 v)))) |
(*.f64 (sqrt.f64 (fabs.f64 (cos.f64 v))) (sqrt.f64 (*.f64 (fabs.f64 (cos.f64 v)) (*.f64 e e)))) |
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (sqrt.f64 (fabs.f64 e))) |
(*.f64 (sqrt.f64 (fabs.f64 e)) (sqrt.f64 (*.f64 (fabs.f64 e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 e)) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 (neg.f64 e))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 v) e) e)) (sqrt.f64 (cos.f64 v))) |
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sqrt.f64 (*.f64 e e))) |
(*.f64 (sqrt.f64 (*.f64 e e)) (sqrt.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (cos.f64 v) e)) (sqrt.f64 (*.f64 (cos.f64 v) e))) |
(*.f64 (sqrt.f64 (cos.f64 v)) (sqrt.f64 (*.f64 (neg.f64 e) (*.f64 (cos.f64 v) e)))) |
(*.f64 (sqrt.f64 (cos.f64 v)) (sqrt.f64 (*.f64 (*.f64 (cos.f64 v) e) e))) |
(*.f64 (sqrt.f64 e) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e))) |
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v)))) |
(*.f64 (pow.f64 (neg.f64 (cos.f64 v)) #s(literal 1 binary64)) (pow.f64 (neg.f64 e) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 e) #s(literal 1 binary64)) (pow.f64 (neg.f64 (cos.f64 v)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64))) |
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (*.f64 (cos.f64 v) #s(literal -1 binary64)) e) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 e)) (cos.f64 v)) |
(*.f64 (fabs.f64 (cos.f64 v)) (fabs.f64 e)) |
(*.f64 (fabs.f64 e) (fabs.f64 (cos.f64 v))) |
(*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)) |
(*.f64 (neg.f64 (cos.f64 v)) e) |
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) |
(*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))) |
(*.f64 (neg.f64 e) (cos.f64 v)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) |
(*.f64 (*.f64 (cos.f64 v) e) #s(literal -1 binary64)) |
(*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(*.f64 (cos.f64 v) (neg.f64 e)) |
(*.f64 (cos.f64 v) e) |
(*.f64 e (neg.f64 (cos.f64 v))) |
(*.f64 e (cos.f64 v)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (cos.f64 v) e)) |
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (neg.f64 e) (*.f64 (cos.f64 v) e)) |
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) e (*.f64 (cos.f64 v) e)) |
(fma.f64 (neg.f64 e) (*.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 (cos.f64 v) e)) |
(fma.f64 e (*.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 (cos.f64 v) e)) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 v) e)) |
(fabs.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 0 binary64))) |
(fabs.f64 (*.f64 (cos.f64 v) e)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 v) e))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 v) e))) (sinh.f64 (log.f64 (*.f64 (cos.f64 v) e)))) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) e) (*.f64 (cos.f64 v) e)) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (neg.f64 e)) (*.f64 (cos.f64 v) e)) |
(+.f64 (*.f64 e (*.f64 #s(literal 0 binary64) (sin.f64 v))) (*.f64 (cos.f64 v) e)) |
(+.f64 (*.f64 (neg.f64 e) (*.f64 #s(literal 0 binary64) (sin.f64 v))) (*.f64 (cos.f64 v) e)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 v))) #s(literal -1 binary64)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 e)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 e)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (sin.f64 v)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) e) #s(literal -1 binary64)) (pow.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 -1 binary64)) (sin.f64 v)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.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 #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 (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 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (sin.f64 v))) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 (neg.f64 e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 v)) (fma.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)))) (/.f64 (sin.f64 v) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (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 (sin.f64 v) e) #s(literal 1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (pow.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) e) #s(literal -1 binary64))) |
(*.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 2 binary64)))) (/.f64 e (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (pow.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 -1 binary64)) e) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 #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)) e)) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (/.f64 e (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sin.f64 v) (/.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 (sin.f64 v) (/.f64 e (-.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 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #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)) e) (sin.f64 v))) |
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(fma.f64 #s(literal 0 binary64) (sin.f64 v) (cos.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))) |
(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 (fma.f64 #s(literal 1/2 binary64) (PI.f64) v) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 v)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 v))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) v)) |
(-.f64 (*.f64 (neg.f64 (sin.f64 v)) (cos.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 v) (sin.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (-.f64 v (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 v)))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 v v) (-.f64 v (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (-.f64 v (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 v v) (-.f64 v (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (-.f64 v (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(-.f64 (*.f64 (sin.f64 v) (cos.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 v) (sin.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 (neg.f64 (cos.f64 v)) #s(literal 1 binary64))) |
(-.f64 (cos.f64 v) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))) |
(cos.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) v) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(cos.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 v)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 v)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) v) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (neg.f64 v)) |
(cos.f64 v) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) v) (*.f64 v v)))) (cos.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) v) (*.f64 v v))))) (*.f64 (cos.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) v) (*.f64 v v)))) (sin.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) 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 5 117 to 887 computations (82.7% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 232 | 12 | 244 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 233 | 12 | 245 |
| Status | Accuracy | Program |
|---|---|---|
| 70.9% | (pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 99.8% | (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| 98.2% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) | |
| 99.6% | (/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) | |
| ▶ | 99.6% | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
| 98.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) | |
| ▶ | 94.4% | (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) |
| 99.6% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 e)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) | |
| 99.5% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64))) | |
| ▶ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| ▶ | 44.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| ▶ | 97.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
Compiled 330 to 256 computations (22.4% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.140625 | (*.f64 (sin.f64 v) e) | |
| accuracy | 0.25 | (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) | |
| accuracy | 1.035337778491423 | (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.1640625 | (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) | |
| accuracy | 0.21484375 | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) | |
| accuracy | 0.1640625 | (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) | |
| accuracy | 1.2195366751833374 | #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 | (+.f64 #s(literal 1 binary64) e) | |
| accuracy | 0.02734375 | (/.f64 e (+.f64 #s(literal 1 binary64) e)) | |
| accuracy | 0.02734375 | (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) | |
| accuracy | 35.561416482144885 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.0234375 | (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 64.0ms | 256× | 0 | valid |
Compiled 380 to 61 computations (83.9% saved)
ival-mult: 14.0ms (29.2% of total)ival-div: 10.0ms (20.9% of total)ival-cos: 9.0ms (18.8% of total)ival-sin: 7.0ms (14.6% of total)ival-add: 6.0ms (12.5% of total)ival-neg: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(cos.f64 v) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/.f64 e (+.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal 1 binary64) e) |
#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)) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) |
(*.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)))))) |
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
e |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
1 |
(+ 1 e) |
(/ 1 (sin v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(* e (+ (sin v) (* e (* (cos v) (sin v))))) |
(* e (+ (sin v) (* e (+ (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (+ (* e (+ (* e (* (pow (cos v) 3) (sin v))) (* (pow (cos v) 2) (sin v)))) (* (cos v) (sin v)))))) |
(/ -1 (* e (sin v))) |
(/ (- (/ (* e (cos v)) (sin v)) (/ 1 (sin v))) 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))))) |
(/ (sin v) (* e (cos v))) |
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e) |
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e) |
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e) |
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))) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* -1 (/ (sin v) (cos v))) |
(+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (sin v) (* e (pow (cos v) 2))))) |
(+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))) |
(+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4))))))) |
(/ (cos v) (sin v)) |
(- (/ (cos v) (sin v)) (/ 1 (* e (sin 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 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(+ 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 (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (* -1 (/ (sin v) (pow (cos v) 2)))) e))) |
(+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ v (+ 1 e)) |
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(* e (* v (+ 1 (* -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 e) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(* -1 (/ (* e v) (- e 1))) |
(* v (+ (* -1 (* (pow v 2) (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2)))))) (* -1 (/ e (- e 1))))) |
(* v (+ (* -1 (/ e (- e 1))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/120 (/ e (- e 1))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (pow e 2) (pow (- e 1) 2))))))) (* -1 (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))))))) |
(* v (+ (* -1 (/ e (- e 1))) (* (pow v 2) (+ (* -1 (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* -1/5040 (/ e (- e 1))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (- e 1))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (pow e 2) (pow (- e 1) 2)))))) (- e 1))) (+ (* -1/720 (/ (pow e 2) (pow (- e 1) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (- e 1)))))))) (* -1 (- (* 1/120 (/ e (- e 1))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (pow e 2) (pow (- e 1) 2)))))))))))) |
(/ (- e 1) (* e v)) |
(/ (- (+ 1 (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (- e 1) e)))))) (/ 1 e)) v) |
(/ (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (- e 1) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (- e 1) e))))))) (+ 1/2 (* -1/6 (/ (- e 1) e)))))) (/ 1 e)) v) |
(/ (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (- e 1) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (- e 1) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (- e 1) e)))) (* -1/5040 (/ (- e 1) e)))))))) (+ (* 1/120 (/ (- e 1) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (- e 1) e))))))) (+ 1/2 (* -1/6 (/ (- e 1) e)))))) (/ 1 e)) v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(cos v) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(* -1 (/ (* e (sin v)) (- (* e (cos v)) 1))) |
(/ (- (* e (cos v)) 1) (* e (sin v))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | v | @ | 0 | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (cos v) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ -1 (/ (+ (* (cos v) e) -1) (* (sin v) e))) (/ (+ (* (cos v) e) -1) (* (sin v) e)) (* (sin v) e)) |
| 6.0ms | v | @ | -inf | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (cos v) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ -1 (/ (+ (* (cos v) e) -1) (* (sin v) e))) (/ (+ (* (cos v) e) -1) (* (sin v) e)) (* (sin v) e)) |
| 6.0ms | e | @ | 0 | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (cos v) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ -1 (/ (+ (* (cos v) e) -1) (* (sin v) e))) (/ (+ (* (cos v) e) -1) (* (sin v) e)) (* (sin v) e)) |
| 5.0ms | v | @ | inf | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (cos v) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ -1 (/ (+ (* (cos v) e) -1) (* (sin v) e))) (/ (+ (* (cos v) e) -1) (* (sin v) e)) (* (sin v) e)) |
| 4.0ms | e | @ | inf | ((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (cos v) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ -1 (/ (+ (* (cos v) e) -1) (* (sin v) e))) (/ (+ (* (cos v) e) -1) (* (sin v) e)) (* (sin v) e)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 539 | 2779 |
| 1 | 2034 | 2615 |
| 0 | 8290 | 2444 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
e |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* e (- e 1)))) |
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))) |
1 |
(+ 1 e) |
(/ 1 (sin v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(* e (+ (sin v) (* e (* (cos v) (sin v))))) |
(* e (+ (sin v) (* e (+ (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (+ (* e (+ (* e (* (pow (cos v) 3) (sin v))) (* (pow (cos v) 2) (sin v)))) (* (cos v) (sin v)))))) |
(/ -1 (* e (sin v))) |
(/ (- (/ (* e (cos v)) (sin v)) (/ 1 (sin v))) 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))))) |
(/ (sin v) (* e (cos v))) |
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e) |
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e) |
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e) |
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))) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* -1 (/ (sin v) (cos v))) |
(+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (sin v) (* e (pow (cos v) 2))))) |
(+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))) |
(+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4))))))) |
(/ (cos v) (sin v)) |
(- (/ (cos v) (sin v)) (/ 1 (* e (sin 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 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(+ 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 (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (* -1 (/ (sin v) (pow (cos v) 2)))) e))) |
(+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ v (+ 1 e)) |
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(* e (* v (+ 1 (* -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 e) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(* -1 (/ (* e v) (- e 1))) |
(* v (+ (* -1 (* (pow v 2) (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2)))))) (* -1 (/ e (- e 1))))) |
(* v (+ (* -1 (/ e (- e 1))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/120 (/ e (- e 1))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (pow e 2) (pow (- e 1) 2))))))) (* -1 (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))))))) |
(* v (+ (* -1 (/ e (- e 1))) (* (pow v 2) (+ (* -1 (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* -1/5040 (/ e (- e 1))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (- e 1))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (pow e 2) (pow (- e 1) 2)))))) (- e 1))) (+ (* -1/720 (/ (pow e 2) (pow (- e 1) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (- e 1)))))))) (* -1 (- (* 1/120 (/ e (- e 1))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (pow e 2) (pow (- e 1) 2)))))))))))) |
(/ (- e 1) (* e v)) |
(/ (- (+ 1 (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (- e 1) e)))))) (/ 1 e)) v) |
(/ (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (- e 1) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (- e 1) e))))))) (+ 1/2 (* -1/6 (/ (- e 1) e)))))) (/ 1 e)) v) |
(/ (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (- e 1) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (- e 1) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (- e 1) e)))) (* -1/5040 (/ (- e 1) e)))))))) (+ (* 1/120 (/ (- e 1) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (- e 1) e))))))) (+ 1/2 (* -1/6 (/ (- e 1) e)))))) (/ 1 e)) v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(cos v) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(* -1 (/ (* e (sin v)) (- (* e (cos v)) 1))) |
(/ (- (* e (cos v)) 1) (* e (sin 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 (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) |
(sin v) |
(sin.f64 v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))) |
(fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) |
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))) |
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(+ 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))) |
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(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
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(* v (+ 1 (* -1/6 (pow v 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
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(* 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))))) |
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(* 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))))))) |
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(* 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)))))))))))) |
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(* 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))))))))))))))) |
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(/ (+ 1 e) v) |
(/.f64 (+.f64 #s(literal 1 binary64) e) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) |
(/.f64 (fma.f64 (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 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) e) (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal -1/6 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 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) e) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) e) (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) e #s(literal 1/120 binary64)))) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal -1/5040 binary64))))) (*.f64 v v) (-.f64 (*.f64 #s(literal 1/24 binary64) e) (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal -1/6 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 (/ (* e v) (- e 1))) |
(*.f64 (neg.f64 v) (/.f64 e (-.f64 e #s(literal 1 binary64)))) |
(* v (+ (* -1 (* (pow v 2) (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2)))))) (* -1 (/ e (- e 1))))) |
(*.f64 (neg.f64 v) (fma.f64 (fma.f64 (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 e (-.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (-.f64 e #s(literal 1 binary64))))) |
(* v (+ (* -1 (/ e (- e 1))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/120 (/ e (- e 1))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (pow e 2) (pow (- e 1) 2))))))) (* -1 (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 v) v) (fma.f64 (-.f64 (*.f64 (/.f64 e (-.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 e (-.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (/.f64 e (-.f64 e #s(literal 1 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (pow.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 v v) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 e (-.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))) (/.f64 (neg.f64 e) (-.f64 e #s(literal 1 binary64)))) v) |
(* v (+ (* -1 (/ e (- e 1))) (* (pow v 2) (+ (* -1 (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* -1/5040 (/ e (- e 1))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (- e 1))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (pow e 2) (pow (- e 1) 2)))))) (- e 1))) (+ (* -1/720 (/ (pow e 2) (pow (- e 1) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (- e 1)))))))) (* -1 (- (* 1/120 (/ e (- e 1))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (- e 1))) (* -1/2 (/ (pow e 2) (pow (- e 1) 2))))) (- e 1))) (* 1/24 (/ (pow e 2) (pow (- e 1) 2)))))))))))) |
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(/ (- e 1) (* e v)) |
(/.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) v) e) |
(/ (- (+ 1 (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (- e 1) e)))))) (/ 1 e)) v) |
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 #s(literal 1 binary64) e))) v) |
(/ (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (- e 1) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (- e 1) e))))))) (+ 1/2 (* -1/6 (/ (- e 1) e)))))) (/ 1 e)) v) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/24 binary64) (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/36 binary64) (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal 1/12 binary64)))) (*.f64 v v) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64)) e)) (*.f64 v v) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v) |
(/ (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (- e 1) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (- e 1) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (- e 1) e)))) (* -1/5040 (/ (- e 1) e)))))))) (+ (* 1/120 (/ (- e 1) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (- e 1) e))))))) (+ 1/2 (* -1/6 (/ (- e 1) e)))))) (/ 1 e)) v) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/24 binary64) (fma.f64 (*.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/24 binary64) (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/36 binary64) (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal 1/12 binary64)))) #s(literal -1/6 binary64) (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal -1/5040 binary64) (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal 1/720 binary64) #s(literal -1/240 binary64)))) #s(literal 1/720 binary64)) v) v (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/36 binary64) (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal 1/12 binary64))))) (*.f64 v v) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64)) e)) (*.f64 v v) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(*.f64 (fma.f64 (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 v v) e) v) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(cos v) |
(cos.f64 v) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
(* -1 (/ (* e (sin v)) (- (* e (cos v)) 1))) |
(*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) |
(/ (- (* e (cos v)) 1) (* e (sin v))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (sin.f64 v)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 143 |
| 0 | 50 | 139 |
| 1 | 197 | 139 |
| 2 | 1321 | 136 |
| 0 | 8992 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(cos.f64 v) |
(sin.f64 v) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v) |
(/.f64 e (+.f64 #s(literal 1 binary64) e)) |
(+.f64 #s(literal 1 binary64) e) |
#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)) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) e) |
| Outputs |
|---|
(*.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 e (pow.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 e) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (pow.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 e) (pow.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 e) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 v)) (pow.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (/.f64 #s(literal -1 binary64) (sin.f64 v))) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 e (pow.f64 (sin.f64 v) #s(literal -1 binary64))) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (sin.f64 v)) e)) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 v)) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 e) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 v)) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 e (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 e (pow.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 e (pow.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (neg.f64 (sin.f64 v))) |
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 v)) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (sin.f64 v) (pow.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (sin.f64 v) (pow.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (pow.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) e) (sin.f64 v)) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (neg.f64 e)) |
(*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 e (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 v)) e)) |
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 e (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 e (sin.f64 v))) |
(*.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (*.f64 e (sin.f64 v)) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v))) |
(*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 v) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) |
(*.f64 (sin.f64 v) (*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) e)) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))))) |
(/.f64 (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 v))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))) |
(/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 e (sin.f64 v))) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 v)) e) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 e (sin.f64 v))) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (sin.f64 v) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e) (sin.f64 v))) |
(/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) |
(/.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
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(+.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 v) (sin.f64 v)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 2 binary64)) (/.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (*.f64 (neg.f64 (sin.f64 v)) e))))) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 2 binary64)) (/.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (*.f64 (neg.f64 (sin.f64 v)) e)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 e (cos.f64 v)) (*.f64 e (sin.f64 v))) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 e (sin.f64 v)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 e (sin.f64 v))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 e (sin.f64 v)))) (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 e (sin.f64 v))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (*.f64 e (sin.f64 v))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (*.f64 e (sin.f64 v)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (*.f64 (neg.f64 (sin.f64 v)) e)) (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 v)) e))) |
(+.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (*.f64 (*.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (cos.f64 v) (sin.f64 v)) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v))) |
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))) |
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e)) |
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 v)) e)) |
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v))) |
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(/.f64 (*.f64 (neg.f64 (sin.f64 v)) e) #s(literal -1 binary64)) |
(/.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 (sin.f64 v)) e)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 v)) e)) |
Compiled 23 053 to 3 186 computations (86.2% saved)
33 alts after pruning (31 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 912 | 27 | 939 |
| Fresh | 3 | 4 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 918 | 33 | 951 |
| Status | Accuracy | Program |
|---|---|---|
| 70.9% | (pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 98.2% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) | |
| 99.6% | (/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) | |
| 99.4% | (/.f64 e (fma.f64 (pow.f64 e #s(literal -1 binary64)) (/.f64 e (sin.f64 v)) (*.f64 (cos.f64 v) (/.f64 e (sin.f64 v))))) | |
| 93.1% | (/.f64 e (/.f64 (fma.f64 (*.f64 e (cos.f64 v)) (sin.f64 v) (sin.f64 v)) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) | |
| 92.6% | (/.f64 e (*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (sin.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))) | |
| ▶ | 45.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (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))) |
| ▶ | 44.3% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
| 95.8% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) | |
| 98.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) | |
| 94.2% | (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)) e) (*.f64 e (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))))) | |
| 40.6% | (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) v) e))) | |
| 41.7% | (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 #s(literal 1 binary64) e))) v))) | |
| 94.5% | (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| ▶ | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
| 96.0% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) | |
| 44.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) | |
| 44.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) | |
| 43.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) | |
| 43.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) | |
| 41.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (/.f64 e (-.f64 #s(literal -1 binary64) e))) v)) | |
| ✓ | 44.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| 44.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) | |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v)) | |
| 43.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 42.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| 43.3% | #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)) | |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) | |
| ▶ | 42.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 68.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) | |
| ▶ | 97.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))) |
| 42.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))) |
Compiled 1 443 to 976 computations (32.4% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) | |
| accuracy | 0.0234375 | (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) | |
| accuracy | 1.2195366751833374 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))) | |
| accuracy | 0.12890625 | (fma.f64 (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)) | |
| accuracy | 0.21484375 | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (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))) | |
| accuracy | 16.87374648457215 | (/.f64 (fma.f64 (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) | |
| accuracy | 35.75942453401383 | #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (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)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) e) | |
| accuracy | 0.02734375 | (/.f64 (+.f64 #s(literal 1 binary64) e) v) | |
| accuracy | 0.21484375 | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) | |
| accuracy | 35.59072880442882 | #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) | |
| accuracy | 0.0 | (*.f64 e v) | |
| accuracy | 2.4948367524064503 | #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)) | |
| accuracy | 35.561416482144885 | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) | |
| accuracy | 0.1640625 | (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) | |
| accuracy | 0.27734375 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
| 91.0ms | 256× | 0 | valid |
Compiled 567 to 90 computations (84.1% saved)
ival-mult: 35.0ms (47.9% of total)ival-div: 12.0ms (16.4% of total)ival-add: 9.0ms (12.3% of total)ival-cos: 7.0ms (9.6% of total)ival-sin: 6.0ms (8.2% of total)const: 4.0ms (5.5% of total)ival-neg: 1.0ms (1.4% 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 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
(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 (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 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(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (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)) |
(/.f64 (fma.f64 (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) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (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))) |
(fma.f64 (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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
| Outputs |
|---|
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))) |
(/ 1 (sin v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
(/ 1 v) |
(+ (/ 1 v) (/ e v)) |
1 |
(+ 1 e) |
(/ (+ 1 (* 1/6 (pow v 2))) v) |
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) |
(+ 1 (* 1/6 (pow v 2))) |
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))) |
e |
(* e (+ 1 (* -1 (* e (cos v))))) |
(/ (sin v) (* e (cos v))) |
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e) |
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e) |
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
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))) |
(/ e v) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(* e (+ 1 (/ 1 e))) |
(/ (* e (+ 1 (* -1/3 (pow v 2)))) v) |
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))) |
(* e (+ 1 (* -1/3 (pow v 2)))) |
(* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* (pow e 2) (cos v))) |
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e))) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin 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))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v)) |
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v)))) |
(* -1 (* e (- (* 1/3 (pow v 2)) 1))) |
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1))) |
(/ v (+ 1 e)) |
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(/ (+ 1 e) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v) |
(+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) |
(* e (* v (+ 1 (* -1 e)))) |
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(* e (+ 1 (* -1 e))) |
(+ (* 1/2 (* (pow e 2) (pow v 2))) (* e (+ 1 (* -1 e)))) |
(+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))) |
(+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(cos v) |
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | e | @ | -inf | ((/ 1 (/ (+ (* e (cos v)) 1) (sin v))) (/ (+ (* e (cos v)) 1) (sin v)) (* (/ 1 (/ (+ (* e (cos v)) 1) (sin v))) e) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (+ (* (cos v) e) 1) (sin v)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ 1 e) v) (+ 1 e) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e)) |
| 9.0ms | v | @ | inf | ((/ 1 (/ (+ (* e (cos v)) 1) (sin v))) (/ (+ (* e (cos v)) 1) (sin v)) (* (/ 1 (/ (+ (* e (cos v)) 1) (sin v))) e) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (+ (* (cos v) e) 1) (sin v)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ 1 e) v) (+ 1 e) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e)) |
| 4.0ms | v | @ | -inf | ((/ 1 (/ (+ (* e (cos v)) 1) (sin v))) (/ (+ (* e (cos v)) 1) (sin v)) (* (/ 1 (/ (+ (* e (cos v)) 1) (sin v))) e) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (+ (* (cos v) e) 1) (sin v)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ 1 e) v) (+ 1 e) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e)) |
| 3.0ms | e | @ | 0 | ((/ 1 (/ (+ (* e (cos v)) 1) (sin v))) (/ (+ (* e (cos v)) 1) (sin v)) (* (/ 1 (/ (+ (* e (cos v)) 1) (sin v))) e) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (+ (* (cos v) e) 1) (sin v)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ 1 e) v) (+ 1 e) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e)) |
| 3.0ms | v | @ | 0 | ((/ 1 (/ (+ (* e (cos v)) 1) (sin v))) (/ (+ (* e (cos v)) 1) (sin v)) (* (/ 1 (/ (+ (* e (cos v)) 1) (sin v))) e) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (+ (* (cos v) e) 1) (sin v)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ 1 e) v) (+ 1 e) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 438 | 2025 |
| 1 | 1572 | 1884 |
| 2 | 6323 | 1840 |
| 0 | 8162 | 1727 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))) |
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))) |
(/ 1 (sin v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
(/ 1 v) |
(+ (/ 1 v) (/ e v)) |
1 |
(+ 1 e) |
(/ (+ 1 (* 1/6 (pow v 2))) v) |
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) |
(+ 1 (* 1/6 (pow v 2))) |
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))) |
e |
(* e (+ 1 (* -1 (* e (cos v))))) |
(/ (sin v) (* e (cos v))) |
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e) |
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e) |
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
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))) |
(/ e v) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(* e (+ 1 (/ 1 e))) |
(/ (* e (+ 1 (* -1/3 (pow v 2)))) v) |
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))) |
(* e (+ 1 (* -1/3 (pow v 2)))) |
(* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* (pow e 2) (cos v))) |
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e))) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin 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))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v)) |
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v)))) |
(* -1 (* e (- (* 1/3 (pow v 2)) 1))) |
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1))) |
(/ v (+ 1 e)) |
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) |
(/ (+ 1 e) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v) |
(+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) |
(* e (* v (+ 1 (* -1 e)))) |
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))) |
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) |
(* e (+ 1 (* -1 e))) |
(+ (* 1/2 (* (pow e 2) (pow v 2))) (* e (+ 1 (* -1 e)))) |
(+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))) |
(+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(cos v) |
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2)))))) |
| Outputs |
|---|
(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)) |
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))) |
(fma.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e (neg.f64 (cos.f64 v)))) e (sin.f64 v)) |
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))) |
(fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))) e (sin.f64 v)) |
(/ 1 (sin v)) |
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 (fma.f64 (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) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) 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 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(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 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal -1/720 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 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) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) 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) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) 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 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)) |
(+ 1 (* -1/2 (pow v 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) |
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v) |
(/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v) |
(+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) |
(+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) |
(* 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 v e) (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 (*.f64 v v) e) (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 (-.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 (*.f64 v v) e) (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 (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) |
(* e (+ 1 (* -1 e))) |
(*.f64 (-.f64 #s(literal 1 binary64) e) e) |
(+ (* 1/2 (* (pow e 2) (pow v 2))) (* e (+ 1 (* -1 e)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) e) v) v (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
(+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) e) e) v) v (*.f64 (*.f64 #s(literal 1/2 binary64) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
(+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) e) e) v) v (*.f64 (*.f64 #s(literal -1/24 binary64) e) e)) (*.f64 v v) (*.f64 (*.f64 #s(literal 1/2 binary64) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) |
(/ (sin v) (+ 1 (* e (cos v)))) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(cos v) |
(cos.f64 v) |
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) |
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) e (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) v)) #s(literal 1/6 binary64)) v) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(*.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) e (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) v)) #s(literal 1/6 binary64)) v) 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)) |
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2)))))) |
(*.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) e (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) v)) #s(literal 1/6 binary64)) v) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 270 |
| 0 | 75 | 260 |
| 1 | 293 | 252 |
| 2 | 2026 | 252 |
| 0 | 8148 | 248 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
(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 (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 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(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (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)) |
(/.f64 (fma.f64 (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) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (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))) |
(fma.f64 (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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 v) (-.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 (sin.f64 v) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e))) |
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (pow.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (sin.f64 v))) |
(*.f64 (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 v) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (sin.f64 v)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (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))) #s(literal 1 binary64)) |
(*.f64 (sin.f64 v) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (*.f64 (cos.f64 v) e)) (log.f64 (sin.f64 v)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) |
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(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal -1 binary64)))) (/.f64 (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal -1 binary64))))) |
(-.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v)) v)) |
(-.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 v v)) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) |
(-.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 e e) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) e)))) (/.f64 (pow.f64 e #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 e e) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) e))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) (*.f64 v (+.f64 e #s(literal 1 binary64))))))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) (*.f64 v (+.f64 e #s(literal 1 binary64)))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) (*.f64 v (+.f64 e #s(literal 1 binary64))))))) (/.f64 (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) (*.f64 v (+.f64 e #s(literal 1 binary64)))))))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v e) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))))) (/.f64 (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal -1 binary64)) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal -1 binary64))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal -1 binary64)))) (/.f64 (neg.f64 (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal -1 binary64))))) |
(+.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) e) |
(+.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v) (+.f64 e #s(literal 1 binary64))) |
(+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v)) |
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.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 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) |
(*.f64 (*.f64 (sin.f64 v) e) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e)) |
(*.f64 e (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) (sin.f64 v) (*.f64 (sin.f64 v) e)) |
(fma.f64 (sin.f64 v) (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) (*.f64 (sin.f64 v) e)) |
(+.f64 (*.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) (sin.f64 v)) (*.f64 (sin.f64 v) e)) |
(+.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v))) (*.f64 (sin.f64 v) e)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (/.f64 e #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)) e) |
(*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) e)) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) e)) (neg.f64 (+.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 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.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 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) #s(literal 2 binary64)) (*.f64 e e))) (neg.f64 (-.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) e))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (pow.f64 e #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 e e) (*.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) e))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) e) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) e) (+.f64 (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 2 binary64)) #s(literal 1 binary64))) (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 3 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 (*.f64 e (neg.f64 e)) (cos.f64 v)) #s(literal 2 binary64)) (*.f64 e e)) (-.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) e)) |
(/.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (pow.f64 e #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 e e) (*.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) e)))) |
(fma.f64 (*.f64 e (neg.f64 e)) (cos.f64 v) e) |
(fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) e e) |
(fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) e) e) |
(fma.f64 (*.f64 (cos.f64 v) e) (neg.f64 e) e) |
(fma.f64 (cos.f64 v) (*.f64 (neg.f64 e) e) e) |
(fma.f64 e (*.f64 (neg.f64 e) (cos.f64 v)) e) |
(fma.f64 e #s(literal 1 binary64) (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v))) |
(fma.f64 #s(literal 1 binary64) e (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) e)) (/.f64 (*.f64 e e) (-.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) e))) |
(-.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) (*.f64 (neg.f64 e) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) (neg.f64 e)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 e e) (*.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) e)))) (/.f64 (pow.f64 e #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 e e) (*.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) e))))) |
(+.f64 (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v)) e) |
(+.f64 e (*.f64 (*.f64 e (neg.f64 e)) (cos.f64 v))) |
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
Compiled 32 621 to 4 143 computations (87.3% saved)
43 alts after pruning (38 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 914 | 17 | 931 |
| Fresh | 5 | 21 | 26 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 921 | 43 | 964 |
| Status | Accuracy | Program |
|---|---|---|
| 70.9% | (pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| ▶ | 98.2% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) |
| ▶ | 99.6% | (/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
| 99.4% | (/.f64 e (fma.f64 (pow.f64 e #s(literal -1 binary64)) (/.f64 e (sin.f64 v)) (*.f64 (cos.f64 v) (/.f64 e (sin.f64 v))))) | |
| 93.1% | (/.f64 e (/.f64 (fma.f64 (*.f64 e (cos.f64 v)) (sin.f64 v) (sin.f64 v)) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) | |
| 92.6% | (/.f64 e (*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (sin.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))) | |
| 45.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (fma.f64 (*.f64 v v) (/.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))) | |
| ▶ | 37.3% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v)))) |
| 45.3% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) e)) e e)) v))) | |
| 43.1% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v))) | |
| ▶ | 5.7% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v))) |
| 5.7% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (neg.f64 e) (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)))) v))) | |
| 45.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))))))) | |
| 95.8% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) | |
| 45.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) v)) e (/.f64 (+.f64 #s(literal 1 binary64) e) v))))) | |
| 45.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 #s(literal 1/6 binary64) v (fma.f64 (*.f64 #s(literal -1/3 binary64) v) e (/.f64 (+.f64 #s(literal 1 binary64) e) v)))))) | |
| 5.0% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v)))) | |
| 44.1% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e) #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))))))) | |
| 5.7% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v))))) | |
| 98.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) | |
| 44.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))) v)) e)) | |
| 94.2% | (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)) e) (*.f64 e (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))))) | |
| 41.7% | (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 #s(literal 1 binary64) e))) v))) | |
| 94.5% | (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| ✓ | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
| 45.4% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) e) | |
| 95.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) e) | |
| 96.0% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) | |
| 43.5% | (*.f64 #s(approx (/ 1 (/ (+ (* e (cos v)) 1) (sin v))) (fma.f64 (*.f64 v (*.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))) e) | |
| 44.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) | |
| 41.0% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (/.f64 e (-.f64 #s(literal -1 binary64) e))) v)) | |
| ✓ | 44.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v)) | |
| 43.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 42.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| ▶ | 43.3% | #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)) |
| 2.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) | |
| ✓ | 42.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 68.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))) | |
| ✓ | 97.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))) |
| 42.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.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))))) | |
| 97.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (* e (+ (* (neg e) (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) (sin.f64 v)))) |
Compiled 2 336 to 1 555 computations (33.4% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) | |
| accuracy | 0.1171875 | (*.f64 e #s(approx (cos v) #s(literal 1 binary64))) | |
| accuracy | 0.140625 | (*.f64 e (sin.f64 v)) | |
| accuracy | 32.93334440389417 | #s(approx (cos v) #s(literal 1 binary64)) | |
| accuracy | 0.21484375 | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v)))) | |
| accuracy | 0.37109375 | (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) | |
| accuracy | 34.80456174037845 | (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v)) | |
| accuracy | 35.75942453401383 | #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v))) | |
| accuracy | 9.32150693669253 | (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e) | |
| accuracy | 16.87374648457215 | (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v) | |
| accuracy | 35.75942453401383 | #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v)) | |
| accuracy | 62.217743603908644 | #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) | |
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal 1 binary64) e) v) | |
| accuracy | 0.1640625 | (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e) | |
| accuracy | 1.2195366751833374 | #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 | 35.79993587837827 | #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) | |
| accuracy | 0.0 | (sin.f64 v) | |
| accuracy | 0.0 | (cos.f64 v) | |
| accuracy | 0.03515625 | (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) | |
| accuracy | 0.24609375 | (/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
| 100.0ms | 256× | 0 | valid |
Compiled 720 to 110 computations (84.7% saved)
ival-mult: 31.0ms (38.9% of total)ival-div: 13.0ms (16.3% of total)ival-add: 12.0ms (15.1% of total)ival-sin: 7.0ms (8.8% of total)const: 7.0ms (8.8% of total)ival-cos: 6.0ms (7.5% of total)ival-sub: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) |
(cos.f64 v) |
(sin.f64 v) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) 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)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
#s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v)) |
(/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e) |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v))) |
(/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v)) |
(*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v)))) |
#s(approx (cos v) #s(literal 1 binary64)) |
(*.f64 e (sin.f64 v)) |
(*.f64 e #s(approx (cos v) #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) |
| Outputs |
|---|
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ 1 e) |
(/ (+ 1 (* e (cos v))) e) |
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
v |
(+ v (* -1 (* e v))) |
(+ 1 (* 1/6 (pow v 2))) |
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))) |
(/ 1 (sin v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(/ (+ 1 (* 1/6 (pow v 2))) v) |
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) |
(* e (+ 1 (* -1/3 (pow v 2)))) |
(/ (+ v (* 1/6 (pow v 3))) (pow v 2)) |
(* 1/6 v) |
(+ (* -1/3 (* e v)) (* 1/6 v)) |
(* 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))))) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(* -1 (* e (* (cos v) (sin v)))) |
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* e v)) |
(* e (+ (* -1 v) (/ v e))) |
(* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(/ (* e (+ 1 (* -1/3 (pow v 2)))) v) |
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))) |
(/ (* e (+ v (* -1/3 (pow v 3)))) (pow v 2)) |
(* -1/3 (* e v)) |
(* e (+ (* -1/3 v) (* 1/6 (/ v e)))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(* -1 (* e (+ v (* -1 (/ v e))))) |
(* -1 (* e (- (* 1/3 (pow v 2)) 1))) |
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v)) |
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v)))) |
(* -1 (/ (* e (+ (* -1 v) (* 1/3 (pow v 3)))) (pow v 2))) |
(* -1 (* e (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (+ (* 1/3 v) (/ -1 v))))) |
(* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v)))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (+ 1 e) e) |
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))) |
1 |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(* v (+ 1 (* -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 (* -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))))))))))))))) |
(* 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 e)) |
(+ 1 e) |
(+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) |
(/ (+ 1 e) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v) |
e |
(+ e (* -1/3 (* e (pow v 2)))) |
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (* -1/3 e))))) v) |
(* v (+ 1/6 (* -1/3 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))))))) |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(* -1/3 (* e (pow v 2))) |
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2)))) |
(* v (+ 1/6 (+ (* -1/3 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))) |
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2)))))) |
(* -1 (* v (+ (* -1 (+ 1/6 (* -1/3 e))) (* -1 (/ (+ 1 e) (pow v 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | v | @ | -inf | ((/ (sin v) (/ (+ (* (cos v) e) 1) e)) (/ (+ (* (cos v) e) 1) e) (cos v) (sin v) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- 1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (* (+ (* (* -1/3 v) v) 1) e) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ e 1) v) (* v (* (* (+ (* e -1/3) 1/6) v) v))) (* v v)) (* (+ (* e -1/3) 1/6) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* e (sin v)) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v))))) |
| 4.0ms | e | @ | 0 | ((/ (sin v) (/ (+ (* (cos v) e) 1) e)) (/ (+ (* (cos v) e) 1) e) (cos v) (sin v) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- 1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (* (+ (* (* -1/3 v) v) 1) e) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ e 1) v) (* v (* (* (+ (* e -1/3) 1/6) v) v))) (* v v)) (* (+ (* e -1/3) 1/6) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* e (sin v)) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v))))) |
| 4.0ms | v | @ | inf | ((/ (sin v) (/ (+ (* (cos v) e) 1) e)) (/ (+ (* (cos v) e) 1) e) (cos v) (sin v) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- 1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (* (+ (* (* -1/3 v) v) 1) e) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ e 1) v) (* v (* (* (+ (* e -1/3) 1/6) v) v))) (* v v)) (* (+ (* e -1/3) 1/6) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* e (sin v)) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v))))) |
| 4.0ms | e | @ | -inf | ((/ (sin v) (/ (+ (* (cos v) e) 1) e)) (/ (+ (* (cos v) e) 1) e) (cos v) (sin v) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- 1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (* (+ (* (* -1/3 v) v) 1) e) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ e 1) v) (* v (* (* (+ (* e -1/3) 1/6) v) v))) (* v v)) (* (+ (* e -1/3) 1/6) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* e (sin v)) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v))))) |
| 4.0ms | e | @ | inf | ((/ (sin v) (/ (+ (* (cos v) e) 1) e)) (/ (+ (* (cos v) e) 1) e) (cos v) (sin v) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (- 1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (* (+ (* (* -1/3 v) v) 1) e) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ e 1) v) (* v (* (* (+ (* e -1/3) 1/6) v) v))) (* v v)) (* (+ (* e -1/3) 1/6) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* e (sin v)) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 449 | 1892 |
| 1 | 1655 | 1767 |
| 2 | 6604 | 1756 |
| 0 | 8260 | 1603 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ 1 e) |
(/ (+ 1 (* e (cos v))) e) |
(sin v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
v |
(+ v (* -1 (* e v))) |
(+ 1 (* 1/6 (pow v 2))) |
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))) |
(/ 1 (sin v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(/ (+ 1 (* 1/6 (pow v 2))) v) |
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) |
(* e (+ 1 (* -1/3 (pow v 2)))) |
(/ (+ v (* 1/6 (pow v 3))) (pow v 2)) |
(* 1/6 v) |
(+ (* -1/3 (* e v)) (* 1/6 v)) |
(* 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))))) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(* -1 (* e (* (cos v) (sin v)))) |
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* e v)) |
(* e (+ (* -1 v) (/ v e))) |
(* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(/ (* e (+ 1 (* -1/3 (pow v 2)))) v) |
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))) |
(/ (* e (+ v (* -1/3 (pow v 3)))) (pow v 2)) |
(* -1/3 (* e v)) |
(* e (+ (* -1/3 v) (* 1/6 (/ v e)))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) |
(* -1 (* e (+ v (* -1 (/ v e))))) |
(* -1 (* e (- (* 1/3 (pow v 2)) 1))) |
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v)) |
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v)))) |
(* -1 (/ (* e (+ (* -1 v) (* 1/3 (pow v 3)))) (pow v 2))) |
(* -1 (* e (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (+ (* 1/3 v) (/ -1 v))))) |
(* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v)))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (+ 1 e) e) |
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))) |
1 |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(* v (+ 1 (* -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 (* -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))))))))))))))) |
(* 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 e)) |
(+ 1 e) |
(+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) |
(/ (+ 1 e) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v) |
e |
(+ e (* -1/3 (* e (pow v 2)))) |
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (* -1/3 e))))) v) |
(* v (+ 1/6 (* -1/3 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))))))) |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(* -1/3 (* e (pow v 2))) |
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2)))) |
(* v (+ 1/6 (+ (* -1/3 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))) |
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2)))))) |
(* -1 (* v (+ (* -1 (+ 1/6 (* -1/3 e))) (* -1 (/ (+ 1 e) (pow v 2)))))) |
| Outputs |
|---|
(* e (sin v)) |
(*.f64 (sin.f64 v) e) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e (sin.f64 v)) e) |
(/ 1 e) |
(/.f64 #s(literal 1 binary64) e) |
(/ (+ 1 (* e (cos v))) e) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) |
(sin v) |
(sin.f64 v) |
(+ (sin v) (* -1 (* e (* (cos v) (sin v))))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
v |
(+ v (* -1 (* e v))) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
(+ 1 (* 1/6 (pow v 2))) |
(fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))) |
(+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) |
(/ 1 (sin v)) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
(/ (+ 1 (* 1/6 (pow v 2))) v) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) v) |
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) |
(fma.f64 #s(literal 1/6 binary64) v (fma.f64 (*.f64 #s(literal -1/3 binary64) e) v (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
(* e (+ 1 (* -1/3 (pow v 2)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 v v) #s(literal 1 binary64)) e) |
(/ (+ v (* 1/6 (pow v 3))) (pow v 2)) |
(/.f64 (/.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 1/6 binary64) v) v) v) |
(* 1/6 v) |
(*.f64 #s(literal 1/6 binary64) v) |
(+ (* -1/3 (* e v)) (* 1/6 v)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) |
(* e (cos v)) |
(*.f64 (cos.f64 v) e) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.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) (cos.f64 v)) (/.f64 (sin.f64 v) (neg.f64 e))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
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(* 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 (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)) (pow.f64 v #s(literal 3 binary64)) (*.f64 e v)) |
(+ e (* -1/2 (* e (pow v 2)))) |
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(* (sin v) (+ 1 (* -1 (* e (cos v))))) |
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(* e (* (sin v) (+ 1 (* -1 (* e (cos v)))))) |
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v)) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(*.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) e (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) v)) #s(literal 1/6 binary64)) v) v) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) |
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) |
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) e (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) v)) #s(literal 1/6 binary64)) v) |
(* -1/3 (* e (pow v 2))) |
(*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/3 binary64)) |
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e (/.f64 e (*.f64 v v))) v) v) |
(* v (+ 1/6 (+ (* -1/3 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))) |
(*.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) e (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) v)) #s(literal 1/6 binary64)) v) |
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2)))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) e #s(literal -1/6 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) v)) (neg.f64 v)) |
(* -1 (* v (+ (* -1 (+ 1/6 (* -1/3 e))) (* -1 (/ (+ 1 e) (pow v 2)))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) e #s(literal -1/6 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) v)) (neg.f64 v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 299 |
| 0 | 88 | 298 |
| 1 | 361 | 277 |
| 2 | 2970 | 274 |
| 0 | 8711 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) |
(cos.f64 v) |
(sin.f64 v) |
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) 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)) |
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e) |
(*.f64 (-.f64 #s(literal 1 binary64) e) v) |
#s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v)) |
(/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e) |
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v))) |
(/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v)) |
(*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v)))) |
#s(approx (cos v) #s(literal 1 binary64)) |
(*.f64 e (sin.f64 v)) |
(*.f64 e #s(approx (cos v) #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.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) (neg.f64 e) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (neg.f64 e)) |
(*.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (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)) (pow.f64 (/.f64 (pow.f64 e #s(literal -1 binary64)) (sin.f64 v)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 e (sin.f64 v))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(*.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sin.f64 v)) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e) #s(literal -1 binary64))) |
(*.f64 (*.f64 e (sin.f64 v)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 v)) e)) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))) |
(/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 e #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e)) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) |
(/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e))) |
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 e) #s(literal -1 binary64))) |
(*.f64 (pow.f64 e #s(literal -1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (pow.f64 (neg.f64 e) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 e #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
(pow.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) #s(literal 1 binary64)) |
(/.f64 (-.f64 (neg.f64 e) (*.f64 (neg.f64 e) (*.f64 (cos.f64 v) (neg.f64 e)))) (*.f64 (neg.f64 e) e)) |
(/.f64 (-.f64 e (*.f64 (/.f64 e #s(literal 1 binary64)) (*.f64 (cos.f64 v) (neg.f64 e)))) (*.f64 (/.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (-.f64 e (*.f64 e (*.f64 (cos.f64 v) (neg.f64 e)))) (*.f64 e e)) |
(/.f64 (+.f64 (neg.f64 e) (*.f64 (neg.f64 e) (*.f64 (cos.f64 v) e))) (*.f64 (neg.f64 e) e)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 e) (*.f64 (neg.f64 e) (*.f64 (cos.f64 v) (neg.f64 e)))) (*.f64 e e)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 e (*.f64 (cos.f64 v) e)) (*.f64 (neg.f64 e) #s(literal 1 binary64))) (*.f64 (neg.f64 e) (/.f64 e (*.f64 (cos.f64 v) e)))) |
(/.f64 (+.f64 e (*.f64 (/.f64 e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e))) (*.f64 (/.f64 e #s(literal 1 binary64)) e)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) (*.f64 (/.f64 e #s(literal 1 binary64)) (*.f64 (cos.f64 v) (neg.f64 e)))) (*.f64 (/.f64 e #s(literal 1 binary64)) (neg.f64 e))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 e (*.f64 (cos.f64 v) e)) (*.f64 (/.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 e #s(literal 1 binary64)) (/.f64 e (*.f64 (cos.f64 v) e)))) |
(/.f64 (+.f64 e (*.f64 e (*.f64 (cos.f64 v) e))) (*.f64 e e)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) (*.f64 e (*.f64 (cos.f64 v) (neg.f64 e)))) (*.f64 e (neg.f64 e))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 e (*.f64 (cos.f64 v) e)) e) (*.f64 e (/.f64 e (*.f64 (cos.f64 v) e)))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 v) e) (neg.f64 e) (neg.f64 e)) (*.f64 e (neg.f64 e))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 v) e) (/.f64 e #s(literal 1 binary64)) e) (*.f64 e (/.f64 e #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (neg.f64 e) (*.f64 (neg.f64 e) #s(literal -1 binary64))) (*.f64 e e)) |
(/.f64 (fma.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (/.f64 e #s(literal 1 binary64)) (*.f64 (neg.f64 e) #s(literal 1 binary64))) (*.f64 (neg.f64 e) (/.f64 e #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 v) (neg.f64 e)) e (*.f64 (neg.f64 e) #s(literal 1 binary64))) (*.f64 (neg.f64 e) e)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 e) (*.f64 (/.f64 e (*.f64 (cos.f64 v) e)) #s(literal -1 binary64))) (*.f64 (/.f64 e (*.f64 (cos.f64 v) e)) (neg.f64 e))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 e #s(literal 1 binary64)) (*.f64 (/.f64 e (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))) (*.f64 (/.f64 e (*.f64 (cos.f64 v) e)) (/.f64 e #s(literal 1 binary64)))) |
(/.f64 (+.f64 e (*.f64 (/.f64 e (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))) (*.f64 (/.f64 e (*.f64 (cos.f64 v) e)) e)) |
(/.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) #s(literal -1 binary64)) e) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (pow.f64 e #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 e #s(literal -1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 e #s(literal -1 binary64))) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 e #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 1 binary64)) e) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 v) e) e) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 v) e) e) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 v) e) e) #s(literal 2 binary64)) (-.f64 (pow.f64 e #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 (cos.f64 v) e) e) (pow.f64 e #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (neg.f64 (neg.f64 e))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 (-.f64 (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)) e)) |
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(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 v)) e)) (neg.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64)) e) (sin.f64 v)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal -1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64)) e) (sin.f64 v))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64)) e) (sin.f64 v))) #s(literal -1 binary64))) |
Compiled 13 849 to 1 965 computations (85.8% saved)
44 alts after pruning (39 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 425 | 17 | 442 |
| Fresh | 11 | 22 | 33 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 4 | 5 |
| Total | 441 | 44 | 485 |
| Status | Accuracy | Program |
|---|---|---|
| 70.9% | (pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 98.2% | (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64))) | |
| 70.3% | (/.f64 (sin.f64 v) (/.f64 (fma.f64 (*.f64 (cos.f64 v) e) e e) (*.f64 e e))) | |
| 98.0% | (/.f64 (sin.f64 v) #s(approx (/ (+ (* (cos v) e) 1) e) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) | |
| 95.8% | (/.f64 (sin.f64 v) #s(approx (/ (+ (* (cos v) e) 1) e) (/.f64 #s(literal 1 binary64) e))) | |
| 99.6% | (/.f64 (sin.f64 v) #s(approx (/ (+ (* (cos v) e) 1) e) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) | |
| 43.5% | (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) | |
| 99.4% | (/.f64 e (fma.f64 (pow.f64 e #s(literal -1 binary64)) (/.f64 e (sin.f64 v)) (*.f64 (cos.f64 v) (/.f64 e (sin.f64 v))))) | |
| 93.1% | (/.f64 e (/.f64 (fma.f64 (*.f64 e (cos.f64 v)) (sin.f64 v) (sin.f64 v)) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) | |
| 92.6% | (/.f64 e (*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (sin.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))) | |
| 45.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (fma.f64 (*.f64 v v) (/.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))) | |
| 37.3% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 #s(approx (* (+ (* e -1/3) 1/6) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) v)) e)) v))) (*.f64 v v)))) | |
| 37.3% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 #s(approx (* (+ (* e -1/3) 1/6) v) (*.f64 #s(literal 1/6 binary64) v)) v))) (*.f64 v v)))) | |
| 5.7% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e e)) v))) | |
| 43.1% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v))) | |
| 4.8% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v))) v))) | |
| 17.3% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) #s(approx (* (+ (* (* -1/3 v) v) 1) e) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e (/.f64 e (*.f64 v v))) v) v))) v))) | |
| 3.5% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) #s(approx (* (+ (* (* -1/3 v) v) 1) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/3 binary64)))) v))) | |
| 5.7% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)))))) | |
| 95.8% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) | |
| 45.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) v)) e (/.f64 (+.f64 #s(literal 1 binary64) e) v))))) | |
| 45.4% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 #s(literal 1/6 binary64) v (fma.f64 (*.f64 #s(literal -1/3 binary64) v) e (/.f64 (+.f64 #s(literal 1 binary64) e) v)))))) | |
| 5.0% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v)))) | |
| 44.1% | (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))) | |
| 96.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64)) e) (sin.f64 v))) | |
| 44.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))) v)) e)) | |
| 94.2% | (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)) e) (*.f64 e (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))))) | |
| 41.7% | (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 #s(literal 1 binary64) e))) v))) | |
| 94.5% | (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))) | |
| ✓ | 99.8% | (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
| 45.4% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) e) | |
| 95.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) e) | |
| 96.0% | (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) | |
| 43.5% | (*.f64 #s(approx (/ 1 (/ (+ (* e (cos v)) 1) (sin v))) (fma.f64 (*.f64 v (*.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))) e) | |
| 44.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) | |
| ✓ | 44.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
| 43.3% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) | |
| 42.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)) | |
| ✓ | 43.3% | #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)) |
| 22.3% | #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)) | |
| ✓ | 42.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
| 68.4% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))) (*.f64 e e)))) | |
| ✓ | 97.9% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))) |
| 97.1% | #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (* e (+ (* (neg e) (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) (sin.f64 v)))) |
Compiled 3 273 to 1 253 computations (61.7% 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)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 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)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) #s(approx (* (+ (* (* -1/3 v) v) 1) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/3 binary64)))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (neg.f64 e) (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 #s(literal 1/6 binary64) v (fma.f64 (*.f64 #s(literal -1/3 binary64) v) e (/.f64 (+.f64 #s(literal 1 binary64) e) v)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) e) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (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))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 #s(approx (* (+ (* e -1/3) 1/6) v) (*.f64 #s(literal 1/6 binary64) v)) v))) (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))) v)) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) v)) e (/.f64 (+.f64 #s(literal 1 binary64) e) v))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (fma.f64 (*.f64 v v) (/.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) #s(approx (* (+ (* (* -1/3 v) v) 1) e) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e (/.f64 e (*.f64 v v))) v) v))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) e)) e e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (/.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 #s(literal 1 binary64) e))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e) #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))))))) |
(*.f64 #s(approx (/ 1 (/ (+ (* e (cos v)) 1) (sin v))) (fma.f64 (*.f64 v (*.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))) e) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 #s(approx (* (+ (* e -1/3) 1/6) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) v)) e)) v))) (*.f64 v v)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (* e (+ (* (neg e) (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) (sin.f64 v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(/.f64 (sin.f64 v) #s(approx (/ (+ (* (cos v) e) 1) e) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) |
(/.f64 (sin.f64 v) #s(approx (/ (+ (* (cos v) e) 1) e) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) e) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64)) e) (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 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
(*.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)))) |
(/.f64 (sin.f64 v) #s(approx (/ (+ (* (cos v) e) 1) e) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) |
(/.f64 (sin.f64 v) (/.f64 (fma.f64 (*.f64 (cos.f64 v) e) e e) (*.f64 e e))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))) (*.f64 e e)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 e)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64))) |
(/.f64 e (fma.f64 (pow.f64 e #s(literal -1 binary64)) (/.f64 e (sin.f64 v)) (*.f64 (cos.f64 v) (/.f64 e (sin.f64 v))))) |
(/.f64 e (/.f64 (fma.f64 (*.f64 e (cos.f64 v)) (sin.f64 v) (sin.f64 v)) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) |
(/.f64 e (*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (sin.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)) e) (*.f64 e (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
3 calls:
| 23.0ms | v |
| 21.0ms | e |
| 21.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | e |
| 99.8% | 1 | v |
| 99.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 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)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) #s(approx (* (+ (* (* -1/3 v) v) 1) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/3 binary64)))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (neg.f64 e) (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 #s(literal 1/6 binary64) v (fma.f64 (*.f64 #s(literal -1/3 binary64) v) e (/.f64 (+.f64 #s(literal 1 binary64) e) v)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) e) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (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))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 #s(approx (* (+ (* e -1/3) 1/6) v) (*.f64 #s(literal 1/6 binary64) v)) v))) (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))) v)) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) v)) e (/.f64 (+.f64 #s(literal 1 binary64) e) v))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (fma.f64 (*.f64 v v) (/.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) #s(approx (* (+ (* (* -1/3 v) v) 1) e) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e (/.f64 e (*.f64 v v))) v) v))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) e)) e e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (/.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 #s(literal 1 binary64) e))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e) #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))))))) |
(*.f64 #s(approx (/ 1 (/ (+ (* e (cos v)) 1) (sin v))) (fma.f64 (*.f64 v (*.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))) e) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 #s(approx (* (+ (* e -1/3) 1/6) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) v)) e)) v))) (*.f64 v v)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (* e (+ (* (neg e) (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) (sin.f64 v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(/.f64 (sin.f64 v) #s(approx (/ (+ (* (cos v) e) 1) e) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) |
(/.f64 (sin.f64 v) #s(approx (/ (+ (* (cos v) e) 1) e) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) e) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64)) e) (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 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64))) |
3 calls:
| 19.0ms | e |
| 17.0ms | v |
| 14.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | e |
| 98.2% | 1 | v |
| 98.2% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 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)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) #s(approx (* (+ (* (* -1/3 v) v) 1) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/3 binary64)))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (neg.f64 e) (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 #s(literal 1/6 binary64) v (fma.f64 (*.f64 #s(literal -1/3 binary64) v) e (/.f64 (+.f64 #s(literal 1 binary64) e) v)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) e) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (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))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 #s(approx (* (+ (* e -1/3) 1/6) v) (*.f64 #s(literal 1/6 binary64) v)) v))) (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))) v)) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) v)) e (/.f64 (+.f64 #s(literal 1 binary64) e) v))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (fma.f64 (*.f64 v v) (/.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) #s(approx (* (+ (* (* -1/3 v) v) 1) e) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e (/.f64 e (*.f64 v v))) v) v))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) e)) e e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (/.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 #s(literal 1 binary64) e))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e) #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))))))) |
(*.f64 #s(approx (/ 1 (/ (+ (* e (cos v)) 1) (sin v))) (fma.f64 (*.f64 v (*.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))) e) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 #s(approx (* (+ (* e -1/3) 1/6) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) v)) e)) v))) (*.f64 v v)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (* e (+ (* (neg e) (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) (sin.f64 v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(/.f64 (sin.f64 v) #s(approx (/ (+ (* (cos v) e) 1) e) (/.f64 #s(literal 1 binary64) e))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (* e (+ (* (neg e) (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) (sin.f64 v)))) |
3 calls:
| 18.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 15.0ms | v |
| 14.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | e |
| 97.1% | 1 | v |
| 97.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 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)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) #s(approx (* (+ (* (* -1/3 v) v) 1) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/3 binary64)))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (neg.f64 e) (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 #s(literal 1/6 binary64) v (fma.f64 (*.f64 #s(literal -1/3 binary64) v) e (/.f64 (+.f64 #s(literal 1 binary64) e) v)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) e) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (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))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 #s(approx (* (+ (* e -1/3) 1/6) v) (*.f64 #s(literal 1/6 binary64) v)) v))) (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))) v)) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) v)) e (/.f64 (+.f64 #s(literal 1 binary64) e) v))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (fma.f64 (*.f64 v v) (/.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) #s(approx (* (+ (* (* -1/3 v) v) 1) e) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e (/.f64 e (*.f64 v v))) v) v))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) e)) e e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (/.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 #s(literal 1 binary64) e))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e) #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))))))) |
(*.f64 #s(approx (/ 1 (/ (+ (* e (cos v)) 1) (sin v))) (fma.f64 (*.f64 v (*.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))) e) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 #s(approx (* (+ (* e -1/3) 1/6) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) v)) e)) v))) (*.f64 v v)))) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e) |
3 calls:
| 28.0ms | e |
| 14.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 11.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 1 | e |
| 98.3% | 2 | v |
| 96.0% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 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)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) #s(approx (* (+ (* (* -1/3 v) v) 1) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/3 binary64)))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (neg.f64 e) (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 #s(literal 1/6 binary64) v (fma.f64 (*.f64 #s(literal -1/3 binary64) v) e (/.f64 (+.f64 #s(literal 1 binary64) e) v)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) e) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (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))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 #s(approx (* (+ (* e -1/3) 1/6) v) (*.f64 #s(literal 1/6 binary64) v)) v))) (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))) v)) e)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) v)) e (/.f64 (+.f64 #s(literal 1 binary64) e) v))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (fma.f64 (*.f64 v v) (/.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) #s(approx (* (+ (* (* -1/3 v) v) 1) e) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e (/.f64 e (*.f64 v v))) v) v))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v))) (*.f64 v v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) e)) e e)) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (/.f64 e (-.f64 #s(literal -1 binary64) e))) v)) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 #s(literal 1 binary64) e))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e) #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))))))) |
(*.f64 #s(approx (/ 1 (/ (+ (* e (cos v)) 1) (sin v))) (fma.f64 (*.f64 v (*.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))) e) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) v (*.f64 v (*.f64 #s(approx (* (+ (* e -1/3) 1/6) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) v)) e)) v))) (*.f64 v v)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) e) |
3 calls:
| 15.0ms | v |
| 11.0ms | e |
| 11.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.4% | 1 | e |
| 45.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 45.4% | 1 | v |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 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)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) #s(approx (* (+ (* (* -1/3 v) v) 1) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/3 binary64)))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (neg.f64 e) (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 #s(literal 1/6 binary64) v (fma.f64 (*.f64 #s(literal -1/3 binary64) v) e (/.f64 (+.f64 #s(literal 1 binary64) e) v)))))) |
| Outputs |
|---|
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 #s(literal 1/6 binary64) v (fma.f64 (*.f64 #s(literal -1/3 binary64) v) e (/.f64 (+.f64 #s(literal 1 binary64) e) v)))))) |
3 calls:
| 7.0ms | v |
| 7.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 7.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.4% | 1 | v |
| 45.4% | 1 | e |
| 45.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 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)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) -1) (* (sin v) e)) (/.f64 (/.f64 (-.f64 e #s(literal 1 binary64)) v) e))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) #s(approx (* (+ (* (* -1/3 v) v) 1) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/3 binary64)))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v))) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e e)) v))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (neg.f64 e) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (*.f64 (neg.f64 e) (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)))) v))) |
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
3 calls:
| 7.0ms | e |
| 7.0ms | v |
| 7.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.4% | 1 | v |
| 44.4% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 44.4% | 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)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e)))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v)) |
| 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:
| 4.0ms | v |
| 2.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 2.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.3% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 43.3% | 1 | v |
| 43.3% | 1 | e |
Compiled 13 to 13 computations (0% saved)
Total -13.6b remaining (-36.7%)
Threshold costs -13.6b (-36.7%)
| Inputs |
|---|
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 1.0ms | v |
| 1.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 42.1% | 1 | v |
| 42.1% | 1 | e |
Compiled 13 to 13 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 8.16337446207046e-12 | 9.726066117588573e-12 |
| 2.0ms | 32× | 0 | valid |
Compiled 80 to 68 computations (15% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-cos: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-sin: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 246 |
| 1 | 99 | 246 |
| 2 | 103 | 246 |
| 3 | 108 | 246 |
| 4 | 122 | 246 |
| 5 | 141 | 246 |
| 6 | 187 | 246 |
| 7 | 273 | 246 |
| 8 | 405 | 246 |
| 9 | 562 | 246 |
| 10 | 787 | 246 |
| 11 | 920 | 246 |
| 12 | 999 | 246 |
| 13 | 1072 | 246 |
| 14 | 1132 | 246 |
| 15 | 1170 | 246 |
| 16 | 1180 | 246 |
| 17 | 1181 | 246 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (* e (+ (* (neg e) (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) (sin.f64 v)))) |
(if (<=.f64 v #s(literal 1470053796651389/154742504910672534362390528 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) e) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 #s(literal 1/6 binary64) v (fma.f64 (*.f64 #s(literal -1/3 binary64) v) e (/.f64 (+.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 #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) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) e #s(literal 1 binary64))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (* e (+ (* (neg e) (cos v)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) (sin.f64 v)))) |
(if (<=.f64 v #s(literal 1470053796651389/154742504910672534362390528 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)) |
(if (<=.f64 v #s(literal 1470053796651389/154742504910672534362390528 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)) (*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))) e) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e)) v))) e) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 #s(literal 1/6 binary64) v (fma.f64 (*.f64 #s(literal -1/3 binary64) v) e (/.f64 (+.f64 #s(literal 1 binary64) e) v)))))) |
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (fma.f64 #s(literal 1/6 binary64) v (fma.f64 (*.f64 #s(literal -1/3 binary64) v) e (/.f64 (-.f64 e #s(literal -1 binary64)) v)))))) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) |
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) 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 | 58 | 299 |
| 0 | 88 | 298 |
| 1 | 361 | 277 |
| 2 | 2970 | 274 |
| 0 | 8711 | 267 |
| 0 | 30 | 143 |
| 0 | 50 | 139 |
| 1 | 197 | 139 |
| 2 | 1321 | 136 |
| 0 | 8992 | 136 |
| 0 | 438 | 2025 |
| 1 | 1572 | 1884 |
| 2 | 6323 | 1840 |
| 0 | 8162 | 1727 |
| 0 | 539 | 2779 |
| 1 | 2034 | 2615 |
| 0 | 8290 | 2444 |
| 0 | 169 | 711 |
| 1 | 577 | 694 |
| 2 | 2143 | 668 |
| 0 | 8006 | 626 |
| 0 | 9 | 21 |
| 0 | 15 | 21 |
| 1 | 53 | 21 |
| 2 | 334 | 21 |
| 3 | 3313 | 21 |
| 0 | 8715 | 20 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 508 to 239 computations (53% saved)
(negabs v)
Compiled 594 to 250 computations (57.9% saved)
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