
Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 49.6% | 49.6% | 50.4% | 0% | 0% | 0% | 0% | 9 |
| 49.8% | 49.8% | 50.2% | 0% | 0% | 0% | 0% | 10 |
| 49.9% | 49.9% | 50.1% | 0% | 0% | 0% | 0% | 11 |
| 50% | 49.9% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 18 to 13 computations (27.8% saved)
| 1.1s | 8 256× | 0 | valid |
ival-sin: 555.0ms (61% of total)ival-mult: 173.0ms (19% of total)ival-div: 158.0ms (17.4% of total)exact: 11.0ms (1.2% of total)ival-true: 6.0ms (0.7% of total)adjust: 3.0ms (0.3% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 72 | 0 | - | 2 | (-3.141826959369632e-160) | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 0 | 121 | (3.8690976995251397e+56) | 0 | - | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sin.f64 | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) | sensitivity | 121 | 0 |
/.f64 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | u/n | 70 | 0 |
| ↳ | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | underflow | 70 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 70 | 2 |
| - | 121 | 63 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 70 | 0 | 2 |
| - | 121 | 0 | 63 |
| number | freq |
|---|---|
| 0 | 65 |
| 1 | 191 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 70.0ms | 512× | 0 | valid |
Compiled 126 to 37 computations (70.6% saved)
ival-sin: 35.0ms (63.8% of total)ival-div: 9.0ms (16.4% of total)ival-mult: 9.0ms (16.4% of total)exact: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 35 |
| 1 | 31 | 29 |
| 2 | 101 | 28 |
| 3 | 371 | 28 |
| 4 | 907 | 28 |
| 5 | 1961 | 28 |
| 6 | 4006 | 28 |
| 7 | 7974 | 28 |
| 0 | 11 | 14 |
| 0 | 19 | 14 |
| 1 | 26 | 14 |
| 2 | 40 | 14 |
| 3 | 83 | 14 |
| 4 | 186 | 14 |
| 5 | 398 | 14 |
| 6 | 823 | 14 |
| 7 | 2009 | 14 |
| 8 | 6025 | 14 |
| 0 | 8010 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(negabs x)
Compiled 16 to 11 computations (31.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.6% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
| Outputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (sin (* 1/2 x))) |
(sin (* 1/2 x)) |
(sin x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x)) |
| 2.0ms | x | @ | inf | ((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x)) |
| 1.0ms | x | @ | 0 | ((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 277 |
| 1 | 355 | 277 |
| 2 | 1015 | 271 |
| 3 | 4267 | 271 |
| 0 | 8042 | 241 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (sin (* 1/2 x))) |
(sin (* 1/2 x)) |
(sin x) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* 2/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* 4/3 x) |
(*.f64 #s(literal 4/3 binary64) x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin x) |
(sin.f64 x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 19 | 45 |
| 1 | 29 | 39 |
| 2 | 81 | 39 |
| 0 | 360 | 39 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) |
(*.f64 #s(literal -8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) |
(*.f64 #s(literal -8/3 binary64) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(literal 8/3 binary64) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 (neg.f64 (neg.f64 x))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) x))) |
(sin.f64 (+.f64 (neg.f64 x) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) |
(sin.f64 x) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
Compiled 1 597 to 275 computations (82.8% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 64 | 19 | 83 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 65 | 19 | 84 |
| Status | Accuracy | Program |
|---|---|---|
| 51.0% | (/.f64 (/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x)) | |
| 73.7% | (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| 27.4% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) | |
| 73.6% | (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 27.5% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 27.6% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| ▶ | 27.4% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 26.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| 28.1% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| 26.6% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| ▶ | 27.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
| 73.6% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ▶ | 73.6% | (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
| ▶ | 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| 99.2% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 52.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| 52.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| 52.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) | |
| ▶ | 52.7% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 844 to 594 computations (29.6% saved)
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sin.f64 x) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(literal 2/3 binary64) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 x x) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
#s(literal 4/3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
1/2 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(pow x 2) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin (* 1/2 x)) |
(sin x) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(pow (sin (* 1/2 x)) 2) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) 4/3 (sin (* x 1/2)) (* x 1/2) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) 2) |
| 3.0ms | x | @ | 0 | ((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) 4/3 (sin (* x 1/2)) (* x 1/2) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) 2) |
| 3.0ms | x | @ | inf | ((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) 4/3 (sin (* x 1/2)) (* x 1/2) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 446 |
| 1 | 552 | 446 |
| 2 | 1666 | 440 |
| 3 | 4411 | 440 |
| 4 | 7637 | 440 |
| 0 | 8103 | 402 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
1/2 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(pow x 2) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin (* 1/2 x)) |
(sin x) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(pow (sin (* 1/2 x)) 2) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/16 (pow x 2))) |
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) x) x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) |
(* 4/3 x) |
(*.f64 #s(literal 4/3 binary64) x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 #s(literal 4/3 binary64) x)) |
(* 2/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* 1/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin x) |
(sin.f64 x) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(pow (sin (* 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 187 |
| 0 | 55 | 175 |
| 1 | 111 | 175 |
| 0 | 269 | 175 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sin.f64 x) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(literal 2/3 binary64) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 x x) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
#s(literal 4/3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(neg.f64 (/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))) |
(neg.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sin.f64 x) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x #s(literal 2/3 binary64)) |
#s(literal 2/3 binary64) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (neg.f64 (sin.f64 x))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sin.f64 x))) |
(neg.f64 (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (neg.f64 (sin.f64 x)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 #s(literal 2/3 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/3 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 (*.f64 #s(literal 2/3 binary64) x) x) |
(*.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x)))) |
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
(*.f64 x #s(literal 4/3 binary64)) |
#s(literal 4/3 binary64) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
Compiled 3 816 to 531 computations (86.1% saved)
31 alts after pruning (26 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 172 | 17 | 189 |
| Fresh | 5 | 9 | 14 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 177 | 31 | 208 |
| Status | Accuracy | Program |
|---|---|---|
| 51.0% | (/.f64 (/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x)) | |
| 73.7% | (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| 73.6% | (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 27.5% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| ✓ | 27.4% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 26.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| 28.1% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| ✓ | 27.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
| 26.9% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) | |
| 27.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) | |
| 73.6% | (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 73.6% | (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
| 50.9% | (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| 76.7% | (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| ▶ | 53.0% | (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
| 76.8% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) | |
| ✓ | 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| 72.8% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 8/3 binary64))) | |
| ▶ | 27.8% | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
| 53.0% | (*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| ▶ | 99.3% | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
| 99.2% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| ▶ | 99.2% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
| 53.0% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) | |
| 52.8% | (*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) | |
| 53.0% | (*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| 57.0% | (*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| 52.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| 52.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| ▶ | 52.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| ✓ | 52.7% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 1 193 to 845 computations (29.2% saved)
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(*.f64 x x) |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
#s(literal 4/3 binary64) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
1/2 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(pow x 2) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
4/3 |
(+ 4/3 (* 1/6 (pow x 2))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin (* 1/2 x)) |
(sin x) |
(* 1/18 (pow x 3)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* 1/18 (pow x 2)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(pow (sin (* 1/2 x)) 2) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | -inf | ((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (* (* 1/4 x) x) (* 1/4 x) 1/4 (* (/ (sin (* x 1/2)) (sin x)) (* (/ 8 3) (sin (* x 1/2)))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) 4/3 (* (sin (* x 1/2)) (/ (* 8/3 (sin (* x 1/2))) (sin x))) (/ (* 8/3 (sin (* x 1/2))) (sin x)) (* 8/3 (sin (* x 1/2)))) |
| 3.0ms | x | @ | inf | ((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (* (* 1/4 x) x) (* 1/4 x) 1/4 (* (/ (sin (* x 1/2)) (sin x)) (* (/ 8 3) (sin (* x 1/2)))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) 4/3 (* (sin (* x 1/2)) (/ (* 8/3 (sin (* x 1/2))) (sin x))) (/ (* 8/3 (sin (* x 1/2))) (sin x)) (* 8/3 (sin (* x 1/2)))) |
| 2.0ms | x | @ | 0 | ((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (* (* 1/4 x) x) (* 1/4 x) 1/4 (* (/ (sin (* x 1/2)) (sin x)) (* (/ 8 3) (sin (* x 1/2)))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) 4/3 (* (sin (* x 1/2)) (/ (* 8/3 (sin (* x 1/2))) (sin x))) (/ (* 8/3 (sin (* x 1/2))) (sin x)) (* 8/3 (sin (* x 1/2)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 465 |
| 1 | 582 | 459 |
| 2 | 1811 | 459 |
| 3 | 4977 | 459 |
| 0 | 8215 | 416 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
1/2 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(pow x 2) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
4/3 |
(+ 4/3 (* 1/6 (pow x 2))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin (* 1/2 x)) |
(sin x) |
(* 1/18 (pow x 3)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* 1/18 (pow x 2)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(pow (sin (* 1/2 x)) 2) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/16 (pow x 2))) |
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) |
2/3 |
#s(literal 2/3 binary64) |
(+ 2/3 (* 1/18 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 1/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
(* 4/3 x) |
(*.f64 #s(literal 4/3 binary64) x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 #s(literal 4/3 binary64) x)) |
4/3 |
#s(literal 4/3 binary64) |
(+ 4/3 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64)) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (*.f64 x x) #s(literal 5/288 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin x) |
(sin.f64 x) |
(* 1/18 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(* 1/18 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/18 binary64)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(pow (sin (* 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 201 |
| 0 | 62 | 189 |
| 1 | 131 | 189 |
| 0 | 466 | 189 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(*.f64 x x) |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
#s(literal 4/3 binary64) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(neg.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (sin.f64 x))) |
(neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64))) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)) |
(fma.f64 #s(literal 2/3 binary64) x (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x)) |
(fma.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) (*.f64 x #s(literal 2/3 binary64))) |
(fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x) (*.f64 #s(literal 2/3 binary64) x)) |
(+.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x)) |
(+.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x #s(literal 2/3 binary64))) |
(+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) |
(/.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 2/3 binary64)) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 2/3 binary64)) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/18 binary64) x) #s(literal 2/3 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/18 binary64) (*.f64 x x))) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/18 binary64))) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) (/.f64 #s(literal 8/27 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) |
(+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x))) |
(/.f64 (*.f64 (neg.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (neg.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (neg.f64 (sin.f64 x))) |
(/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (sin.f64 x))) |
(neg.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (neg.f64 (sin.f64 x)))) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(*.f64 x (*.f64 #s(literal 1/4 binary64) x)) |
(*.f64 #s(literal 1/4 binary64) x) |
(*.f64 x #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
(*.f64 x #s(literal 4/3 binary64)) |
#s(literal 4/3 binary64) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x)))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
Compiled 5 870 to 701 computations (88.1% saved)
37 alts after pruning (27 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 249 | 11 | 260 |
| Fresh | 5 | 16 | 21 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 254 | 37 | 291 |
| Status | Accuracy | Program |
|---|---|---|
| 51.0% | (/.f64 (/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x)) | |
| 73.7% | (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| 73.6% | (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 27.5% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| ✓ | 27.4% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 26.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| ▶ | 28.1% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
| ✓ | 27.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
| 26.9% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) | |
| 27.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) | |
| 73.6% | (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 73.6% | (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
| ▶ | 50.9% | (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
| ✓ | 53.0% | (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
| 76.8% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) | |
| ✓ | 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| ✓ | 27.8% | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
| 26.9% | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) | |
| 51.8% | (*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) | |
| 53.0% | (*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| ✓ | 99.3% | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
| 53.0% | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64)) | |
| ✓ | 99.2% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
| 53.0% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) | |
| ▶ | 99.3% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))) |
| 53.0% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) | |
| 57.0% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) | |
| ▶ | 27.7% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| 52.8% | (*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) | |
| 53.0% | (*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) | |
| 52.2% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) | |
| 52.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) | |
| 52.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| 52.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| ✓ | 52.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| ▶ | 4.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
| ✓ | 52.7% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 1 455 to 1 041 computations (28.5% saved)
| Inputs |
|---|
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
(*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x) |
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/18 binary64)) |
(*.f64 x x) |
#s(literal 1/18 binary64) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) |
#s(literal 1/540 binary64) |
#s(literal -1/18 binary64) |
#s(literal 2/3 binary64) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
#s(literal 2 binary64) |
| Outputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
x |
4/3 |
(+ 4/3 (* 1/6 (pow x 2))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(* 1/18 (pow x 2)) |
(pow x 2) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(* 1/4 x) |
(/ 8/3 x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* x (+ 2/3 (* -1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(+ 2/3 (* -1/18 (pow x 2))) |
(+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))) |
-1/18 |
(- (* 1/540 (pow x 2)) 1/18) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(+ 1/2 (* -1/4 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(sin (* 1/2 x)) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin x) |
(* 1/18 (pow x 3)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(pow (sin (* 1/2 x)) 2) |
(/ 8/3 (sin x)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 1/540 (pow x 6)) |
(* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(* 1/540 (pow x 5)) |
(* (pow x 5) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(* 1/540 (pow x 4)) |
(* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(* 1/540 (pow x 2)) |
(* (pow x 2) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x))) |
(/ (- 1/2 (* 1/2 (cos x))) (sin x)) |
(- 1/2 (* 1/2 (cos x))) |
(* 1/2 (cos x)) |
(cos x) |
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) 1/540))) |
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/540 (/ 2/3 (pow x 4)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | ((* (sin (* x 1/2)) (* (/ (sin (* 1/2 x)) (sin x)) 8/3)) (sin (* x 1/2)) (* x 1/2) x 1/2 (* (/ (sin (* 1/2 x)) (sin x)) 8/3) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (sin x) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* (* x x) 1/18) (* x x) 1/18 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* (* 1/4 x) x) (* 1/4 x) 1/4 (/ 8/3 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* (+ (* 1/540 (* x x)) -1/18) (* x x)) 2/3) x) x) (* (+ (* (+ (* 1/540 (* x x)) -1/18) (* x x)) 2/3) x) (+ (* (+ (* 1/540 (* x x)) -1/18) (* x x)) 2/3) (+ (* 1/540 (* x x)) -1/18) 1/540 -1/18 2/3 (* (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) 8/3) (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (* 1/2 (cos (* 2 (* x 1/2)))) (cos (* 2 (* x 1/2))) (* 2 (* x 1/2)) 2) |
| 5.0ms | x | @ | -inf | ((* (sin (* x 1/2)) (* (/ (sin (* 1/2 x)) (sin x)) 8/3)) (sin (* x 1/2)) (* x 1/2) x 1/2 (* (/ (sin (* 1/2 x)) (sin x)) 8/3) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (sin x) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* (* x x) 1/18) (* x x) 1/18 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* (* 1/4 x) x) (* 1/4 x) 1/4 (/ 8/3 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* (+ (* 1/540 (* x x)) -1/18) (* x x)) 2/3) x) x) (* (+ (* (+ (* 1/540 (* x x)) -1/18) (* x x)) 2/3) x) (+ (* (+ (* 1/540 (* x x)) -1/18) (* x x)) 2/3) (+ (* 1/540 (* x x)) -1/18) 1/540 -1/18 2/3 (* (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) 8/3) (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (* 1/2 (cos (* 2 (* x 1/2)))) (cos (* 2 (* x 1/2))) (* 2 (* x 1/2)) 2) |
| 3.0ms | x | @ | 0 | ((* (sin (* x 1/2)) (* (/ (sin (* 1/2 x)) (sin x)) 8/3)) (sin (* x 1/2)) (* x 1/2) x 1/2 (* (/ (sin (* 1/2 x)) (sin x)) 8/3) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (sin x) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* (* x x) 1/18) (* x x) 1/18 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* (* 1/4 x) x) (* 1/4 x) 1/4 (/ 8/3 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* (+ (* 1/540 (* x x)) -1/18) (* x x)) 2/3) x) x) (* (+ (* (+ (* 1/540 (* x x)) -1/18) (* x x)) 2/3) x) (+ (* (+ (* 1/540 (* x x)) -1/18) (* x x)) 2/3) (+ (* 1/540 (* x x)) -1/18) 1/540 -1/18 2/3 (* (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) 8/3) (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (* 1/2 (cos (* 2 (* x 1/2)))) (cos (* 2 (* x 1/2))) (* 2 (* x 1/2)) 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 826 |
| 1 | 824 | 820 |
| 2 | 2540 | 820 |
| 3 | 6776 | 820 |
| 0 | 8316 | 751 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
x |
4/3 |
(+ 4/3 (* 1/6 (pow x 2))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(* 1/18 (pow x 2)) |
(pow x 2) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(* 1/4 x) |
(/ 8/3 x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* x (+ 2/3 (* -1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(+ 2/3 (* -1/18 (pow x 2))) |
(+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))) |
-1/18 |
(- (* 1/540 (pow x 2)) 1/18) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(+ 1/2 (* -1/4 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(sin (* 1/2 x)) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin x) |
(* 1/18 (pow x 3)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(pow (sin (* 1/2 x)) 2) |
(/ 8/3 (sin x)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 1/540 (pow x 6)) |
(* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(* 1/540 (pow x 5)) |
(* (pow x 5) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(* 1/540 (pow x 4)) |
(* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(* 1/540 (pow x 2)) |
(* (pow x 2) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x))) |
(/ (- 1/2 (* 1/2 (cos x))) (sin x)) |
(- 1/2 (* 1/2 (cos x))) |
(* 1/2 (cos x)) |
(cos x) |
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) 1/540))) |
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/540 (/ 2/3 (pow x 4)))))) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x)) |
x |
4/3 |
#s(literal 4/3 binary64) |
(+ 4/3 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64)) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (*.f64 x x) #s(literal 5/288 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/16 (pow x 2))) |
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) |
2/3 |
#s(literal 2/3 binary64) |
(+ 2/3 (* 1/18 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(* 1/18 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/18 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 1/4 (pow x 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(/ 8/3 x) |
(/.f64 #s(literal 8/3 binary64) x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (*.f64 x x) #s(literal 7/135 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(* 2/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* x (+ 2/3 (* -1/18 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(+ 2/3 (* -1/18 (pow x 2))) |
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))) |
(fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
-1/18 |
#s(literal -1/18 binary64) |
(- (* 1/540 (pow x 2)) 1/18) |
(fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(+ 1/2 (* -1/4 (pow x 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin x) |
(sin.f64 x) |
(* 1/18 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(pow (sin (* 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 1/540 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/540 binary64)) |
(* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/540 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/540 binary64))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/540 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/540 binary64)) |
(* (pow x 5) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/540 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/540 binary64)))) |
(* 1/540 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/540 binary64)) |
(* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/540 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/540 binary64)))) |
(* 1/540 (pow x 2)) |
(*.f64 #s(literal 1/540 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/540 (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/540 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) x) x) |
(* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x))) |
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/ (- 1/2 (* 1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(- 1/2 (* 1/2 (cos x))) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* 1/2 (cos x)) |
(*.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(cos x) |
(cos.f64 x) |
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) 1/540))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/540 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/540 (/ 2/3 (pow x 4)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/540 binary64)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 321 |
| 0 | 83 | 303 |
| 1 | 226 | 291 |
| 0 | 1150 | 288 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
(*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x) |
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/18 binary64)) |
(*.f64 x x) |
#s(literal 1/18 binary64) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) |
#s(literal 1/540 binary64) |
#s(literal -1/18 binary64) |
#s(literal 2/3 binary64) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
(/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(neg.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (sin.f64 x))) |
(neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
(*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x) |
(*.f64 x #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))) |
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/18 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/18 binary64) x)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(literal 1/18 binary64) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(literal -8/3 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(literal 8/3 binary64)) (sin.f64 x)) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 x))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) |
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(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sin.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) (sin.f64 x))) |
(*.f64 (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(pow.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(fma.f64 (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (fabs.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 (*.f64 #s(literal 1 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) |
(-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)))) |
(cos.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x))) |
(cos.f64 (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) x) x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) x) x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 2 binary64) |
Compiled 10 913 to 1 659 computations (84.8% saved)
36 alts after pruning (25 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 382 | 7 | 389 |
| Fresh | 4 | 18 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 8 | 10 |
| Total | 390 | 36 | 426 |
| Status | Accuracy | Program |
|---|---|---|
| 51.0% | (/.f64 (/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x)) | |
| 73.7% | (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| 73.6% | (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 27.5% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 26.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| 26.7% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))) | |
| 28.1% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| ✓ | 27.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
| 26.9% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) | |
| 27.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) | |
| 73.6% | (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 73.6% | (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
| 4.3% | (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* x 1/2))) #s(literal 1 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| 76.8% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) | |
| ✓ | 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| ✓ | 27.8% | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
| 26.9% | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) | |
| 50.9% | (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| 51.8% | (*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) | |
| 50.7% | (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 8/3 binary64)) | |
| ✓ | 99.3% | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
| ✓ | 99.2% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
| ✓ | 99.3% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))) |
| 53.0% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) | |
| 57.0% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) | |
| ✓ | 27.7% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| 26.9% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) | |
| 52.8% | (*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) | |
| 52.2% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) | |
| 52.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) | |
| 52.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| 52.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| ✓ | 52.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| ✓ | 4.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
| ✓ | 52.7% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| 50.9% | #s(approx (* (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) 8/3) (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
Compiled 2 039 to 864 computations (57.6% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* x 1/2))) #s(literal 1 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))) |
#s(approx (* (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) 8/3) (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 8/3 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
2 calls:
| 16.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 99.3% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* x 1/2))) #s(literal 1 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))) |
#s(approx (* (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) 8/3) (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))) |
2 calls:
| 11.0ms | x |
| 11.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 99.3% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* x 1/2))) #s(literal 1 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))) |
#s(approx (* (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) 8/3) (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
2 calls:
| 11.0ms | x |
| 10.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 99.5% | 2 | x |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* x 1/2))) #s(literal 1 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))) |
#s(approx (* (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) 8/3) (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
1 calls:
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* x 1/2))) #s(literal 1 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))) |
#s(approx (* (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) 8/3) (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* x 1/2))) #s(literal 1 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))) |
#s(approx (* (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) 8/3) (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
#s(approx (* (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) 8/3) (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* x 1/2))) #s(literal 1 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))) |
| Outputs |
|---|
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
2 calls:
| 21.0ms | x |
| 6.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 57.0% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 1 | x |
| 52.9% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
2 calls:
| 7.0ms | x |
| 2.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 1 | x |
| 52.9% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 1 | x |
| 52.8% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
2 calls:
| 2.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 52.8% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
Total -31.0b remaining (-102.3%)
Threshold costs -31b (-102.3%)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
2 calls:
| 1.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 52.7% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 8.604159994794012e-24 | 8.240343703634776e-23 |
| 2.0ms | 32× | 0 | valid |
Compiled 113 to 85 computations (24.8% saved)
ival-div: 1.0ms (60.8% of total)ival-mult: 1.0ms (60.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-sin: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 2.003197469618483e-18 | 2.4686621149629728e-5 |
| 1.0ms | 16× | 0 | valid |
Compiled 66 to 50 computations (24.2% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-sin: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 6.621342593683917e-41 | 7.008235462637028e-33 |
| 1.0ms | 16× | 0 | valid |
Compiled 66 to 50 computations (24.2% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-sin: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.003428080903342555 | 0.09306794630449446 |
| 11.0ms | 112× | 0 | valid |
Compiled 453 to 337 computations (25.6% saved)
ival-mult: 2.0ms (36% of total)ival-sin: 2.0ms (36% of total)ival-div: 1.0ms (18% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 353 |
| 1 | 135 | 353 |
| 2 | 235 | 353 |
| 3 | 497 | 353 |
| 4 | 1312 | 353 |
| 5 | 5779 | 353 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))) |
(if (<=.f64 x #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))) |
(if (<=.f64 x #s(literal 1298074214633707/324518553658426726783156020576256 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(if (<=.f64 x #s(literal 1225996432692711/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))) |
(if (<=.f64 x #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) #s(approx (* (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) 8/3) (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))) |
(if (<=.f64 x #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))) |
(if (<=.f64 x #s(literal 1298074214633707/324518553658426726783156020576256 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(if (<=.f64 x #s(literal 1225996432692711/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))) |
(if (<=.f64 x #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) #s(approx (* (/ (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (sin x)) 8/3) (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| 1× | fuel |
Compiled 393 to 99 computations (74.8% saved)
Compiled 952 to 310 computations (67.4% saved)
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