
Time bar (total: 10.6s)
| 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)
| 1.6s | 8 256× | 0 | valid |
ival-sin: 644.0ms (54.5% of total)ival-mult: 266.0ms (22.5% of total)ival-div: 245.0ms (20.8% of total)exact: 13.0ms (1.1% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)adjust: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 71 | 0 | - | 1 | (-4.2068428722552386e-159) | (/.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 | 106 | (8.545961400610436e+24) | 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 | 106 | 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 | 1 |
| - | 106 | 79 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 70 | 0 | 1 |
| - | 106 | 0 | 79 |
| number | freq |
|---|---|
| 0 | 80 |
| 1 | 176 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 76.0ms | 512× | 0 | valid |
Compiled 126 to 37 computations (70.6% saved)
ival-div: 28.0ms (47.4% of total)ival-sin: 20.0ms (33.9% of total)ival-mult: 10.0ms (16.9% of total)exact: 1.0ms (1.7% 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 | 29 | 29 |
| 2 | 87 | 28 |
| 3 | 276 | 28 |
| 4 | 544 | 28 |
| 5 | 1120 | 28 |
| 6 | 2476 | 28 |
| 7 | 5113 | 28 |
| 0 | 11 | 14 |
| 0 | 19 | 14 |
| 1 | 26 | 14 |
| 2 | 40 | 14 |
| 3 | 83 | 14 |
| 4 | 186 | 14 |
| 5 | 397 | 14 |
| 6 | 816 | 14 |
| 7 | 1829 | 14 |
| 8 | 4532 | 14 |
| 0 | 8173 | 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 |
|---|---|---|
| ▶ | 73.7% | (/.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)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| cost-diff | 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)))) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 2 | (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 19 | 45 |
| 1 | 26 | 45 |
| 2 | 40 | 45 |
| 3 | 83 | 45 |
| 4 | 186 | 45 |
| 5 | 397 | 45 |
| 6 | 816 | 45 |
| 7 | 1829 | 45 |
| 8 | 4532 | 45 |
| 0 | 8173 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 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 (*.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))) |
(*.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 -8/3 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
#s(literal 8/3 binary64) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.17578125 | (*.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)))) | |
| accuracy | 0.29296875 | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 16.628041267349488 | (/.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)) |
| 54.0ms | 256× | 0 | valid |
Compiled 55 to 13 computations (76.4% saved)
ival-sin: 10.0ms (50.8% of total)ival-mult: 5.0ms (25.4% of total)ival-div: 4.0ms (20.3% 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)| Inputs |
|---|
(/.f64 #s(literal 8 binary64) #s(literal 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 (/.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)))) |
(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)))) |
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 x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | x | @ | 0 | ((/ 8 3) (/ (* (* (/ 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))) (sin x)) |
| 2.0ms | x | @ | -inf | ((/ 8 3) (/ (* (* (/ 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))) (sin x)) |
| 2.0ms | x | @ | inf | ((/ 8 3) (/ (* (* (/ 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))) (sin x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 225 |
| 1 | 292 | 225 |
| 2 | 833 | 219 |
| 3 | 3515 | 219 |
| 0 | 8076 | 201 |
| 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)))) |
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 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 (-.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)) |
(* 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)) |
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) |
(* 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 x) |
(sin.f64 x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 0 | 19 | 34 |
| 1 | 29 | 28 |
| 2 | 81 | 28 |
| 0 | 360 | 28 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 8 binary64) #s(literal 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 (/.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)))) |
(sin.f64 x) |
| Outputs |
|---|
#s(literal 8/3 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 (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))) |
(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 1 133 to 229 computations (79.8% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 45 | 15 | 60 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 46 | 15 | 61 |
| Status | Accuracy | Program |
|---|---|---|
| 45.1% | (/.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)) | |
| 73.7% | (/.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)) | |
| ▶ | 33.0% | (/.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)) |
| 32.1% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.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))) (sin.f64 x)) | |
| 32.1% | (/.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)) | |
| 33.4% | (/.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)) | |
| ▶ | 73.7% | (*.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))) |
| 73.8% | (*.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)) | |
| 99.3% | (*.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))) | |
| ▶ | 99.3% | (*.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))) |
| ▶ | 58.4% | #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)) |
| 58.4% | #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)) | |
| 58.5% | #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)) | |
| ▶ | 58.6% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 612 to 434 computations (29.1% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | (*.f64 #s(literal 4/3 binary64) x) | |
| cost-diff | 0 | #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) | |
| cost-diff | 0 | (*.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)))) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (*.f64 #s(literal 2/3 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| cost-diff | 3 | (*.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))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 246 |
| 0 | 63 | 243 |
| 1 | 110 | 237 |
| 2 | 220 | 237 |
| 3 | 780 | 237 |
| 4 | 3088 | 237 |
| 5 | 7294 | 237 |
| 0 | 8559 | 237 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 (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 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
#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) |
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 (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) |
(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)) |
(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)) |
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) |
#s(literal 17/30240 binary64) |
(*.f64 x x) |
x |
#s(literal 1/180 binary64) |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(/.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) |
x |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 x) |
(*.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))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 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 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
#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) |
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)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(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)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(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)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) |
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) |
#s(literal 17/30240 binary64) |
(*.f64 x x) |
x |
#s(literal 1/180 binary64) |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(/.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 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (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 (*.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) |
x |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 x) |
(*.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))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.19140625 | (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) | |
| accuracy | 0.3359375 | (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) | |
| accuracy | 16.690533336346718 | (*.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))) | |
| accuracy | 0.17578125 | (*.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)))) | |
| accuracy | 0.27734375 | (*.f64 #s(literal 4/3 binary64) x) | |
| accuracy | 16.628041267349488 | (/.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)) | |
| accuracy | 26.336841242549006 | #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) | |
| accuracy | 0.046875 | (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)) | |
| accuracy | 0.15625 | (*.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) | |
| accuracy | 0.2756282836210068 | (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) | |
| accuracy | 26.456443301473676 | #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)) | |
| accuracy | 0.27734375 | (*.f64 #s(literal 2/3 binary64) x) | |
| accuracy | 26.3309051373958 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.29916000976844204 | (*.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))) | |
| accuracy | 0.3359375 | (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) | |
| accuracy | 0.3515625 | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| 101.0ms | 256× | 0 | valid |
Compiled 232 to 37 computations (84.1% saved)
ival-sin: 27.0ms (33.8% of total)ival-mult: 21.0ms (26.3% of total)const: 20.0ms (25% of total)ival-div: 5.0ms (6.3% of total)ival-add: 3.0ms (3.8% of total)ival-pow2: 3.0ms (3.8% of total)exact: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.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 (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 1/2 binary64) x) |
#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(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 (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) |
(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)) |
(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 (*.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) |
(*.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))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(sin.f64 x) |
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 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)))))))) |
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 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)))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))) |
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))) |
1/18 |
(+ 1/18 (* 1/180 (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)))) |
(* 1/4 (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 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) |
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)))) |
1/180 |
(+ 1/180 (* 17/30240 (pow x 2))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(sin (* 1/2 x)) |
(* 17/30240 (pow x 7)) |
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6))))))) |
(* 17/30240 (pow x 6)) |
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6))))))) |
(* 17/30240 (pow x 4)) |
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (sin (* 1/2 x))) |
(pow (sin (* 1/2 x)) 2) |
(/ 8/3 (sin x)) |
(sin x) |
(* 17/30240 (pow x 2)) |
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | 0 | ((* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ (* (* (/ 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) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x)) (sin x) (+ (* 17/30240 (* x x)) 1/180)) |
| 5.0ms | x | @ | inf | ((* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ (* (* (/ 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) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x)) (sin x) (+ (* 17/30240 (* x x)) 1/180)) |
| 4.0ms | x | @ | -inf | ((* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ (* (* (/ 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) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x)) (sin x) (+ (* 17/30240 (* x x)) 1/180)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 710 |
| 1 | 702 | 710 |
| 2 | 2096 | 702 |
| 3 | 5891 | 702 |
| 0 | 8161 | 653 |
| 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)))))))) |
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 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)))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))) |
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))) |
1/18 |
(+ 1/18 (* 1/180 (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)))) |
(* 1/4 (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 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) |
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)))) |
1/180 |
(+ 1/180 (* 17/30240 (pow x 2))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(sin (* 1/2 x)) |
(* 17/30240 (pow x 7)) |
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6))))))) |
(* 17/30240 (pow x 6)) |
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6))))))) |
(* 17/30240 (pow x 4)) |
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (sin (* 1/2 x))) |
(pow (sin (* 1/2 x)) 2) |
(/ 8/3 (sin x)) |
(sin x) |
(* 17/30240 (pow x 2)) |
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow 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) |
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 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)) |
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)) |
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))) |
(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)) |
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))) |
(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)) |
1/18 |
#s(literal 1/18 binary64) |
(+ 1/18 (* 1/180 (pow x 2))) |
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) |
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))) |
(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)) |
(* 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)) |
(* 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)) |
(* 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)) |
(/ 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) |
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) |
1/180 |
#s(literal 1/180 binary64) |
(+ 1/180 (* 17/30240 (pow x 2))) |
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 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)) |
(* 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.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(* 17/30240 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/30240 binary64)) |
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* 17/30240 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/30240 binary64)) |
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) |
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))) |
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* 17/30240 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/30240 binary64)) |
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) |
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 17/30240 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)) |
(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)) |
(sin x) |
(sin.f64 x) |
(* 17/30240 (pow x 2)) |
(*.f64 #s(literal 17/30240 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) x) x) #s(literal 17/30240 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 204 |
| 0 | 63 | 201 |
| 1 | 167 | 195 |
| 2 | 737 | 195 |
| 3 | 7895 | 195 |
| 0 | 8076 | 195 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 (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 1/2 binary64) x) |
#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(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 (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) |
(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)) |
(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 (*.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) |
(*.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))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(sin.f64 x) |
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (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 (/.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 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (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)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (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 #s(literal -8/3 binary64) (/.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)) (/.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 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(*.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 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)) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (*.f64 (neg.f64 (sin.f64 x)) #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)))) (*.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/.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) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(neg.f64 (*.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)))) |
(fma.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (*.f64 (sinh.f64 (*.f64 (log.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 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (neg.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)))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x)))) |
(neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (fabs.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (fabs.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(pow.f64 (sqrt.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 1/2 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))) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(fabs.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) |
(fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(+.f64 (cosh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sinh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#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)) |
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(neg.f64 (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/5832000 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64)) (fma.f64 #s(literal 24137569/764699349893278334976000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))) (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1/5832000 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal 1/5832000 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64)) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal 1/5832000 binary64) (fma.f64 #s(literal 24137569/764699349893278334976000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))) (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64)) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -17/30240 binary64) x)) x #s(literal 1/180 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 17/30240 binary64) x)) x #s(literal 1/180 binary64)) |
(fma.f64 (*.f64 #s(literal -17/30240 binary64) x) (neg.f64 x) #s(literal 1/180 binary64)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)) #s(literal 3/2 binary64)) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))))) (/.f64 #s(literal 1/5832000 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 17/30240 binary64) x) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))))) (/.f64 #s(literal 1/5832000 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 4913/27653197824000 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))))) (/.f64 #s(literal 1/5832000 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))) |
(fma.f64 #s(literal 4913/27653197824000 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))))) (/.f64 #s(literal 1/5832000 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))) |
(fma.f64 (*.f64 #s(literal 17/30240 binary64) x) x #s(literal 1/180 binary64)) |
(fma.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))))) (/.f64 #s(literal 1/5832000 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -17/30240 binary64) x) #s(literal 1/180 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)) (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))))) (/.f64 #s(literal 1/5832000 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))) |
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) |
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal -17/30240 binary64) x)) #s(literal 1/180 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 17/30240 binary64) x)) #s(literal 1/180 binary64)) |
(fma.f64 x (*.f64 #s(literal 17/30240 binary64) x) #s(literal 1/180 binary64)) |
(-.f64 (/.f64 #s(literal 1/32400 binary64) (-.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))) (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))) |
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 289/914457600 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)) #s(literal 1/180 binary64)))) (/.f64 #s(literal 1/32400 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)) #s(literal 1/180 binary64)))) |
(-.f64 #s(literal 1/180 binary64) (*.f64 #s(literal -17/30240 binary64) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1/5832000 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64)) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/27653197824000 binary64)) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x))))) (/.f64 #s(literal 1/5832000 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 17/5443200 binary64) (*.f64 x x)))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)) #s(literal 1/180 binary64)) |
(+.f64 #s(literal 1/180 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -17/30240 binary64) x)) x)) |
(+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))) |
Compiled 23 384 to 2 100 computations (91% saved)
32 alts after pruning (27 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 488 | 24 | 512 |
| Fresh | 7 | 3 | 10 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 495 | 32 | 527 |
| Status | Accuracy | Program |
|---|---|---|
| 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)) | |
| 45.1% | (/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) | |
| 73.7% | (/.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)) | |
| ✓ | 33.0% | (/.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)) |
| 33.4% | (/.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)) | |
| 52.1% | (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 73.7% | (*.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))) |
| 33.1% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) | |
| 73.8% | (*.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)) | |
| 45.0% | (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 45.0% | (*.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 58.6% | (*.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))) | |
| 49.7% | (*.f64 (/.f64 (cosh.f64 (-.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.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))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 58.6% | (*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| 45.1% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ▶ | 99.4% | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 99.3% | (*.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))) |
| 58.6% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))) | |
| ▶ | 58.1% | (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.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)))) |
| 50.0% | (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ▶ | 33.4% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| 58.6% | (*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 62.5% | (*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 58.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x))) | |
| 57.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x)))) | |
| ✓ | 58.4% | #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)) |
| 58.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| 57.7% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) | |
| ▶ | 58.5% | #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)) |
| 57.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))) | |
| ✓ | 58.6% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| ▶ | 9.6% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))))) |
Compiled 1 568 to 1 035 computations (34% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| cost-diff | 7 | (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.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)))) | |
| cost-diff | 0 | (neg.f64 (pow.f64 x #s(literal 7 binary64))) | |
| cost-diff | 0 | (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))) | |
| cost-diff | 0 | #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))))) | |
| cost-diff | 0 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| cost-diff | 3 | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 430 |
| 0 | 100 | 424 |
| 1 | 168 | 414 |
| 2 | 351 | 414 |
| 3 | 1071 | 414 |
| 4 | 3694 | 412 |
| 5 | 7843 | 412 |
| 0 | 8021 | 408 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 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) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 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 (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) |
x |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
#s(literal 1/4 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))))) |
#s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))) |
(neg.f64 (pow.f64 x #s(literal 7 binary64))) |
(pow.f64 x #s(literal 7 binary64)) |
x |
#s(literal 7 binary64) |
(-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) |
(/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) |
#s(literal -1/18 binary64) |
(/.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
#s(literal 2/3 binary64) |
(*.f64 x x) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) |
(/.f64 #s(literal 1/180 binary64) (*.f64 x x)) |
#s(literal 1/180 binary64) |
#s(literal 17/30240 binary64) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.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)))) |
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.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 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 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) |
#s(literal 4/3 binary64) |
(sin.f64 x) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.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 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 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)) |
#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 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(fma.f64 (*.f64 x 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)) |
(*.f64 x x) |
x |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
#s(literal 1/4 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) (neg.f64 (pow.f64 x #s(literal 7 binary64)))))) |
#s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))))) |
#s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) (neg.f64 (pow.f64 x #s(literal 7 binary64))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) (neg.f64 (pow.f64 x #s(literal 7 binary64)))) |
(neg.f64 (pow.f64 x #s(literal 7 binary64))) |
(pow.f64 x #s(literal 7 binary64)) |
x |
#s(literal 7 binary64) |
(-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) |
(/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) |
#s(literal -1/18 binary64) |
(/.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
#s(literal 2/3 binary64) |
(*.f64 x x) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) |
(/.f64 #s(literal 1/180 binary64) (*.f64 x x)) |
#s(literal 1/180 binary64) |
#s(literal 17/30240 binary64) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.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 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.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 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sqrt.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)) |
#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 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20703125 | (*.f64 #s(literal 4/3 binary64) x) | |
| accuracy | 0.265625 | (*.f64 (sqrt.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))) | |
| accuracy | 0.31640625 | (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.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)))) | |
| accuracy | 12.735822411313087 | #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) | |
| accuracy | 0.26446964805738754 | (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) | |
| accuracy | 0.28754343943187977 | (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) | |
| accuracy | 12.990159165720502 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))))) | |
| accuracy | 30.77926214772068 | (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.26953125 | (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) | |
| accuracy | 12.91169456049748 | #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) | |
| accuracy | 16.635845836346718 | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0546875 | (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) | |
| accuracy | 0.1484375 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) | |
| accuracy | 13.014083608276866 | #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)) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.0703125 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) | |
| accuracy | 0.08203125 | (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| accuracy | 0.22265625 | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| 198.0ms | 201× | 0 | valid |
| 40.0ms | 55× | 0 | invalid |
Compiled 337 to 58 computations (82.8% saved)
const: 121.0ms (56.1% of total)ival-mult: 39.0ms (18.1% of total)ival-sin: 15.0ms (7% of total)ival-div: 12.0ms (5.6% of total)ival-pow2: 11.0ms (5.1% of total)ival-add: 6.0ms (2.8% of total)ival-pow: 5.0ms (2.3% of total)ival-sub: 2.0ms (0.9% of total)ival-sqrt: 2.0ms (0.9% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 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) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))))) |
#s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))) |
(neg.f64 (pow.f64 x #s(literal 7 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.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)))) |
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 x #s(literal 1/2 binary64)) |
(sin.f64 x) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/180 binary64) (*.f64 x x)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 (sqrt.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 #s(literal 4/3 binary64) 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)))))))) |
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))))))) |
(* 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)))) |
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)))) |
(* -1 (pow x 7)) |
(* (sqrt x) (sqrt 1/2)) |
(+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2))) |
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2))))))) |
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2))))))))) |
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 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)) |
(/ 1/180 (pow x 2)) |
(* 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)))) |
(* 8/3 (* (sqrt x) (sqrt 1/8))) |
(+ (* 4/9 (* (sqrt (pow x 5)) (sqrt 1/8))) (* 8/3 (* (sqrt x) (sqrt 1/8)))) |
(+ (* 8/3 (* (sqrt x) (sqrt 1/8))) (* (pow x 2) (+ (* -1/48 (* (sqrt x) (/ 1 (sqrt 1/8)))) (* 4/9 (* (sqrt x) (sqrt 1/8)))))) |
(+ (* 8/3 (* (sqrt x) (sqrt 1/8))) (* (pow x 2) (+ (* 4/9 (* (sqrt x) (sqrt 1/8))) (* x (+ (* -1/48 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/8)))) (* 7/135 (* (sqrt (pow x 3)) (sqrt 1/8)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin (* 1/2 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) |
(* 17/30240 (pow x 7)) |
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6))))))) |
(sqrt (sin (* 1/2 x))) |
(sin x) |
(/ 8/3 (sin x)) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (* (/ 1 (sin x)) (sqrt (pow (sin (* 1/2 x)) 3)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | inf | ((* (* (/ (sin (* x 1/2)) (sin x)) 8/3) (sin (* 1/2 x))) (* (/ (sin (* x 1/2)) (sin x)) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 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) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* 1/4 (* x x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (* (neg (pow x 7)) (- (/ (- -1/18 (/ 2/3 (* x x))) (pow x 4)) (+ (/ 1/180 (* x x)) 17/30240))) (neg (pow x 7)) (* (sqrt (sin (* x 1/2))) (* (sqrt (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)))) (sqrt (sin (* x 1/2))) (* x 1/2) (sin x) (/ 8/3 (sin x)) (/ 2/3 (* x x)) (/ 1/180 (* x x)) (* (/ 8 3) (sin (* x 1/2))) (* (sqrt (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x))) (* 4/3 x)) |
| 5.0ms | x | @ | -inf | ((* (* (/ (sin (* x 1/2)) (sin x)) 8/3) (sin (* 1/2 x))) (* (/ (sin (* x 1/2)) (sin x)) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 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) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* 1/4 (* x x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (* (neg (pow x 7)) (- (/ (- -1/18 (/ 2/3 (* x x))) (pow x 4)) (+ (/ 1/180 (* x x)) 17/30240))) (neg (pow x 7)) (* (sqrt (sin (* x 1/2))) (* (sqrt (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)))) (sqrt (sin (* x 1/2))) (* x 1/2) (sin x) (/ 8/3 (sin x)) (/ 2/3 (* x x)) (/ 1/180 (* x x)) (* (/ 8 3) (sin (* x 1/2))) (* (sqrt (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x))) (* 4/3 x)) |
| 4.0ms | x | @ | 0 | ((* (* (/ (sin (* x 1/2)) (sin x)) 8/3) (sin (* 1/2 x))) (* (/ (sin (* x 1/2)) (sin x)) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 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) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* 1/4 (* x x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (* (neg (pow x 7)) (- (/ (- -1/18 (/ 2/3 (* x x))) (pow x 4)) (+ (/ 1/180 (* x x)) 17/30240))) (neg (pow x 7)) (* (sqrt (sin (* x 1/2))) (* (sqrt (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)))) (sqrt (sin (* x 1/2))) (* x 1/2) (sin x) (/ 8/3 (sin x)) (/ 2/3 (* x x)) (/ 1/180 (* x x)) (* (/ 8 3) (sin (* x 1/2))) (* (sqrt (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x))) (* 4/3 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 264 | 795 |
| 1 | 885 | 767 |
| 2 | 2946 | 749 |
| 3 | 6772 | 744 |
| 0 | 8128 | 690 |
| 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)))))))) |
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))))))) |
(* 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)))) |
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)))) |
(* -1 (pow x 7)) |
(* (sqrt x) (sqrt 1/2)) |
(+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2))) |
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2))))))) |
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2))))))))) |
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 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)) |
(/ 1/180 (pow x 2)) |
(* 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)))) |
(* 8/3 (* (sqrt x) (sqrt 1/8))) |
(+ (* 4/9 (* (sqrt (pow x 5)) (sqrt 1/8))) (* 8/3 (* (sqrt x) (sqrt 1/8)))) |
(+ (* 8/3 (* (sqrt x) (sqrt 1/8))) (* (pow x 2) (+ (* -1/48 (* (sqrt x) (/ 1 (sqrt 1/8)))) (* 4/9 (* (sqrt x) (sqrt 1/8)))))) |
(+ (* 8/3 (* (sqrt x) (sqrt 1/8))) (* (pow x 2) (+ (* 4/9 (* (sqrt x) (sqrt 1/8))) (* x (+ (* -1/48 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/8)))) (* 7/135 (* (sqrt (pow x 3)) (sqrt 1/8)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin (* 1/2 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) |
(* 17/30240 (pow x 7)) |
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6))))))) |
(sqrt (sin (* 1/2 x))) |
(sin x) |
(/ 8/3 (sin x)) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (* (/ 1 (sin x)) (sqrt (pow (sin (* 1/2 x)) 3)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow 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 (*.f64 x x) #s(literal 1/180 binary64) #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 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 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)) |
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)) |
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 #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 (pow x 7)) |
(neg.f64 (pow.f64 x #s(literal 7 binary64))) |
(* (sqrt x) (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2))) |
(fma.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) |
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2))))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/7680 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/96 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) |
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2))))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/46080 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (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))) (pow.f64 x #s(literal 3 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 #s(literal 2/3 binary64) (*.f64 x x)) |
(/ 1/180 (pow x 2)) |
(/.f64 #s(literal 1/180 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 (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))) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 4/3 binary64) x)) |
(* 8/3 (* (sqrt x) (sqrt 1/8))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 x)) |
(+ (* 4/9 (* (sqrt (pow x 5)) (sqrt 1/8))) (* 8/3 (* (sqrt x) (sqrt 1/8)))) |
(*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (fma.f64 #s(literal 4/9 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 8/3 binary64) (sqrt.f64 x)))) |
(+ (* 8/3 (* (sqrt x) (sqrt 1/8))) (* (pow x 2) (+ (* -1/48 (* (sqrt x) (/ 1 (sqrt 1/8)))) (* 4/9 (* (sqrt x) (sqrt 1/8)))))) |
(fma.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 4/9 binary64) (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal 1/8 binary64))))) (*.f64 x x))) |
(+ (* 8/3 (* (sqrt x) (sqrt 1/8))) (* (pow x 2) (+ (* 4/9 (* (sqrt x) (sqrt 1/8))) (* x (+ (* -1/48 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/8)))) (* 7/135 (* (sqrt (pow x 3)) (sqrt 1/8)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 7/135 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 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)) |
(* 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 (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) 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)) |
(* 17/30240 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/30240 binary64)) |
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(sqrt (sin (* 1/2 x))) |
(sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(sin x) |
(sin.f64 x) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 8/3 (* (/ 1 (sin x)) (sqrt (pow (sin (* 1/2 x)) 3)))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal -1/180 binary64)) (*.f64 x x)) #s(literal 17/30240 binary64)) (neg.f64 (pow.f64 x #s(literal 7 binary64)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) (neg.f64 (pow.f64 x #s(literal 7 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 324 |
| 0 | 100 | 318 |
| 1 | 300 | 308 |
| 2 | 1718 | 308 |
| 0 | 8518 | 302 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 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) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))))) |
#s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))) |
(neg.f64 (pow.f64 x #s(literal 7 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.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)))) |
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 x #s(literal 1/2 binary64)) |
(sin.f64 x) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(/.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/180 binary64) (*.f64 x x)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 (sqrt.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 #s(literal 4/3 binary64) x) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (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)) (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 #s(literal 8/3 binary64) (*.f64 (/.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 8/3 binary64) (*.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 (*.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 (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 (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 #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 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) #s(literal 8/3 binary64))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.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 (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 (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))) (neg.f64 (neg.f64 (neg.f64 (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 (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))) |
(*.f64 (sqrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (sqrt.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))) |
(*.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(pow.f64 (neg.f64 (sqrt.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 1/2 binary64)) |
(pow.f64 (sqrt.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 1 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 #s(literal 2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(fabs.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) |
(fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64) (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
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(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal 7 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))))) |
(neg.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) (pow.f64 x #s(literal 7 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7/2 binary64))) (pow.f64 x #s(literal 7/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 7/2 binary64)) (neg.f64 (pow.f64 x #s(literal 7/2 binary64)))) |
(neg.f64 (pow.f64 x #s(literal 7 binary64))) |
(*.f64 (*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 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 (neg.f64 (*.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sqrt.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)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) (sin.f64 x)) |
(/.f64 (*.f64 (sqrt.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)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) |
(sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(fabs.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(fabs.f64 (sqrt.f64 (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 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(sin.f64 x) |
(/.f64 #s(literal -8/3 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal 8/3 binary64) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(neg.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (fabs.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 x))) x) |
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) x))) x) |
(/.f64 (fabs.f64 (/.f64 #s(literal 2/3 binary64) x)) x) |
(/.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 2/3 binary64) x) x) |
(/.f64 #s(literal -2/3 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) |
(sqrt.f64 (/.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x))) |
(fabs.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)))) |
(fabs.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/180 binary64) (neg.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/180 binary64) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (fabs.f64 (/.f64 #s(literal 1/180 binary64) (neg.f64 x))) x) |
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 1/180 binary64) x))) x) |
(/.f64 (fabs.f64 (/.f64 #s(literal 1/180 binary64) x)) x) |
(/.f64 (/.f64 #s(literal 1/180 binary64) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/180 binary64) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1/180 binary64) x) x) |
(/.f64 #s(literal -1/180 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1/180 binary64) (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) |
(sqrt.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) |
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(fabs.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x 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 x)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (sqrt.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 (neg.f64 (*.f64 (neg.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sqrt.f64 (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)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 x)) |
(*.f64 #s(literal 4/3 binary64) x) |
(*.f64 x #s(literal 4/3 binary64)) |
Compiled 15 303 to 1 649 computations (89.2% saved)
34 alts after pruning (26 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 417 | 9 | 426 |
| Fresh | 5 | 17 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 424 | 34 | 458 |
| Status | Accuracy | Program |
|---|---|---|
| 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)) | |
| 45.1% | (/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) | |
| ▶ | 73.7% | (/.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)) |
| ✓ | 33.0% | (/.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)) |
| ▶ | 33.4% | (/.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)) |
| 52.1% | (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 73.7% | (*.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))) |
| 33.1% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) | |
| ▶ | 73.8% | (*.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)) |
| 45.0% | (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 45.0% | (*.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ▶ | 58.6% | (*.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))) |
| 49.7% | (*.f64 (/.f64 (cosh.f64 (-.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.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))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 58.6% | (*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| 45.1% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 99.4% | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 99.3% | (*.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))) |
| 58.0% | (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (* (sqrt (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x))) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 x)))) | |
| 50.0% | (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 33.4% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| 32.4% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) | |
| 32.9% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) | |
| 58.6% | (*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 62.5% | (*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 58.0% | (*.f64 #s(approx (sqrt (sin (* x 1/2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) (*.f64 (sqrt.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)))) | |
| 58.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x))) | |
| ▶ | 58.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))) |
| 57.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) | |
| 58.0% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) | |
| ✓ | 58.4% | #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)) |
| 58.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| 57.7% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) | |
| ✓ | 58.5% | #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)) |
| ✓ | 58.6% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 1 488 to 1 031 computations (30.7% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 3 | (*.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)))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) | |
| cost-diff | 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))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)) | |
| cost-diff | 0 | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) | |
| cost-diff | 0 | (*.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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 237 |
| 0 | 61 | 220 |
| 1 | 103 | 220 |
| 2 | 182 | 220 |
| 3 | 408 | 220 |
| 4 | 780 | 220 |
| 5 | 1103 | 220 |
| 6 | 1671 | 220 |
| 7 | 2781 | 220 |
| 8 | 5665 | 220 |
| 0 | 8072 | 218 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) (sin.f64 x)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x x)) |
#s(literal 1/18 binary64) |
(*.f64 x x) |
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) |
x |
#s(literal 2/3 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))) (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(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 (*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.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 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(literal 8/3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(sin.f64 x) |
| Outputs |
|---|
(*.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 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x)) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) x) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
(*.f64 x x) |
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)) |
(/.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)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 (*.f64 #s(literal 2/3 binary64) x) x) |
(*.f64 x x) |
x |
#s(literal 2/3 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 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
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 #s(literal 4/3 binary64) x) |
#s(literal 4/3 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 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(*.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)))) |
(*.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))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(literal 8/3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(sin.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.17578125 | (*.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)))) | |
| accuracy | 0.29296875 | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) | |
| accuracy | 16.628041267349488 | (/.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)) | |
| accuracy | 0.13671875 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) | |
| accuracy | 0.17025375976844204 | (*.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))) | |
| accuracy | 0.27734375 | (*.f64 #s(literal 4/3 binary64) x) | |
| accuracy | 26.336841242549006 | #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.2109375 | (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) | |
| accuracy | 16.628041267349488 | (/.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)) | |
| accuracy | 26.04217804553067 | #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) | |
| accuracy | 0.015625 | (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)) | |
| accuracy | 0.22332001953688402 | (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) | |
| accuracy | 0.27734375 | (*.f64 #s(literal 2/3 binary64) x) | |
| accuracy | 26.44679831088828 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))) | |
| accuracy | 0.00390625 | (sin.f64 x) | |
| accuracy | 0.19140625 | (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) | |
| accuracy | 0.34765625 | (*.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)) | |
| accuracy | 16.568597946911026 | (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) |
| 128.0ms | 256× | 0 | valid |
Compiled 219 to 35 computations (84% saved)
ival-mult: 63.0ms (57% of total)ival-sin: 23.0ms (20.8% of total)const: 12.0ms (10.9% of total)ival-div: 8.0ms (7.2% of total)ival-pow2: 3.0ms (2.7% of total)ival-add: 2.0ms (1.8% of total)exact: 1.0ms (0.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.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)) (sin.f64 x)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x x)) |
(*.f64 x 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)) |
#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 (/.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))) (sin.f64 x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.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)))) |
(/.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin.f64 x) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
| 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)))))))) |
(* 1/4 (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)))) |
(* 1/2 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)))) |
(* 1/18 (pow x 2)) |
(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)))) |
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))))))) |
(* 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)))) |
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))) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(pow (sin (* 1/2 x)) 2) |
(sin (* 1/2 x)) |
(* 1/18 (pow x 3)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(/ (sin (* 1/2 x)) (sin x)) |
(* 8/3 (sin (* 1/2 x))) |
(sin x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) (/ (pow (sin (* x 1/2)) 2) (sin x)) (pow (sin (* x 1/2)) 2) (sin (* x 1/2)) (+ (* (* 1/18 (* x x)) x) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 1/18 (* x x)) (* x x) (/ (* (* (/ 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) (* (/ (sin (* x 1/2)) (sin x)) (* (/ 8 3) (sin (* x 1/2)))) (/ (sin (* x 1/2)) (sin x)) (* x 1/2) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (sin (* 1/2 x)) 8/3) (sin (* 1/2 x)) (sin x) (* 2/3 x) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x)) |
| 3.0ms | x | @ | -inf | ((* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) (/ (pow (sin (* x 1/2)) 2) (sin x)) (pow (sin (* x 1/2)) 2) (sin (* x 1/2)) (+ (* (* 1/18 (* x x)) x) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 1/18 (* x x)) (* x x) (/ (* (* (/ 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) (* (/ (sin (* x 1/2)) (sin x)) (* (/ 8 3) (sin (* x 1/2)))) (/ (sin (* x 1/2)) (sin x)) (* x 1/2) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (sin (* 1/2 x)) 8/3) (sin (* 1/2 x)) (sin x) (* 2/3 x) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x)) |
| 2.0ms | x | @ | 0 | ((* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) (/ (pow (sin (* x 1/2)) 2) (sin x)) (pow (sin (* x 1/2)) 2) (sin (* x 1/2)) (+ (* (* 1/18 (* x x)) x) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 1/18 (* x x)) (* x x) (/ (* (* (/ 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) (* (/ (sin (* x 1/2)) (sin x)) (* (/ 8 3) (sin (* x 1/2)))) (/ (sin (* x 1/2)) (sin x)) (* x 1/2) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (sin (* 1/2 x)) 8/3) (sin (* 1/2 x)) (sin x) (* 2/3 x) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 467 |
| 1 | 576 | 461 |
| 2 | 1714 | 461 |
| 3 | 4531 | 461 |
| 0 | 8076 | 423 |
| 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)))))))) |
(* 1/4 (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)))) |
(* 1/2 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)))) |
(* 1/18 (pow x 2)) |
(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)))) |
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))))))) |
(* 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)))) |
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))) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(pow (sin (* 1/2 x)) 2) |
(sin (* 1/2 x)) |
(* 1/18 (pow x 3)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(/ (sin (* 1/2 x)) (sin 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) |
(* 1/4 (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)) |
(* 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)) |
(* 1/18 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/18 binary64)) |
(pow x 2) |
(*.f64 x 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)) |
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)) |
(* 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)) |
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) |
(* 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))) |
(/ (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)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 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)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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)) |
(sin x) |
(sin.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 196 |
| 0 | 61 | 169 |
| 1 | 133 | 169 |
| 2 | 487 | 169 |
| 3 | 3859 | 100 |
| 0 | 8911 | 98 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) (sin.f64 x)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x x)) |
(*.f64 x 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)) |
#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 (/.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))) (sin.f64 x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.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)))) |
(/.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin.f64 x) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 0 binary64)) |
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64)) |
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(/.f64 #s(literal 0 binary64) (sin.f64 x)) |
(neg.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x)) (/.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 0 binary64)) |
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64)) |
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(/.f64 #s(literal 0 binary64) (sin.f64 x)) |
(neg.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x)) (/.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
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(fma.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2/3 binary64) x)) |
(fma.f64 x (exp.f64 (log.f64 #s(literal 2/3 binary64))) (*.f64 #s(literal -1/18 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 x (exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/18 binary64)))) (*.f64 #s(literal -2/3 binary64) x)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) x) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)) (*.f64 x (/.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) (*.f64 x (/.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))) |
(fma.f64 x #s(literal -2/3 binary64) (*.f64 #s(literal -1/18 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 x #s(literal 2/3 binary64) (*.f64 #s(literal -1/18 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 x (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) (*.f64 #s(literal -2/3 binary64) x)) |
(-.f64 (/.f64 (*.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/324 binary64) (*.f64 x (fma.f64 #s(literal 4/9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/324 binary64) (*.f64 x (fma.f64 #s(literal 4/9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))))))) |
(-.f64 (*.f64 x (/.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/324 binary64)) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/324 binary64)) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)) (*.f64 x (/.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))) |
(-.f64 (*.f64 #s(literal -1/18 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2/3 binary64) x)) |
(-.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/18 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/324 binary64) (*.f64 x (fma.f64 #s(literal 4/9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))))) (/.f64 (*.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/324 binary64) (*.f64 x (fma.f64 #s(literal 4/9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/324 binary64) (*.f64 x (fma.f64 #s(literal 4/9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/324 binary64) (*.f64 x (fma.f64 #s(literal 4/9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/324 binary64)) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)) (*.f64 x (/.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))) |
(+.f64 (*.f64 #s(literal -1/18 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2/3 binary64) x)) |
(+.f64 (*.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal -1/18 binary64) (pow.f64 x #s(literal 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 #s(literal -1/18 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) x) x) |
(*.f64 (*.f64 x 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)) |
(neg.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x))) |
(*.f64 x x) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 x x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (neg.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 #s(literal -2/3 binary64) x) x)) (sin.f64 x)) |
(neg.f64 (/.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))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal -2/3 binary64) x) x)) |
(neg.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal -2/3 binary64) x) x)))) |
(*.f64 (*.f64 #s(literal -2/3 binary64) x) x) |
(*.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 x (*.f64 #s(literal -2/3 binary64) x)) |
(neg.f64 (*.f64 (*.f64 #s(literal -2/3 binary64) x) x)) |
(*.f64 (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) #s(literal 0 binary64)) |
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
(*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(*.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 0 binary64) #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) (sin.f64 x)) |
(neg.f64 (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)))) |
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 0 binary64)) |
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64)) |
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(/.f64 #s(literal 0 binary64) (sin.f64 x)) |
(neg.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x)) (/.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x))) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal 0 binary64) |
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 0 binary64)) |
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64)) |
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(/.f64 #s(literal 0 binary64) (sin.f64 x)) |
(neg.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x)) (/.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(neg.f64 (sin.f64 x)) |
(fma.f64 (cos.f64 x) #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 x))) |
(fma.f64 (sin.f64 x) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (PI.f64) x)) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 x) #s(literal -1 binary64) (*.f64 (cos.f64 x) #s(literal 0 binary64))) |
(sin.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) x))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) |
(sin.f64 (+.f64 (PI.f64) x)) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 x) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 #s(literal 1 binary64) (sin.f64 x))) |
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) x)) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 0 binary64))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) |
(+.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (PI.f64) x)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 0 binary64))) |
(*.f64 (exp.f64 (log.f64 #s(literal 2/3 binary64))) x) |
(*.f64 #s(literal -2/3 binary64) x) |
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x (exp.f64 (log.f64 #s(literal 2/3 binary64)))) |
(*.f64 x #s(literal -2/3 binary64)) |
(*.f64 x #s(literal 2/3 binary64)) |
(pow.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) |
(neg.f64 (*.f64 #s(literal -2/3 binary64) x)) |
(sqrt.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x))) |
(fabs.f64 (*.f64 #s(literal -2/3 binary64) x)) |
(exp.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4/9 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2/3 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(literal -2/3 binary64) x))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal -2/3 binary64) x))) (sinh.f64 (log.f64 (*.f64 #s(literal -2/3 binary64) x)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (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)) |
Compiled 12 610 to 1 251 computations (90.1% saved)
42 alts after pruning (31 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 418 | 14 | 432 |
| Fresh | 4 | 17 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 7 | 8 |
| Total | 424 | 42 | 466 |
| Status | Accuracy | Program |
|---|---|---|
| 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)) | |
| 45.1% | (/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) | |
| ✓ | 73.7% | (/.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)) |
| ✓ | 33.0% | (/.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)) |
| 33.5% | (/.f64 (neg.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)) | |
| ✓ | 33.4% | (/.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)) |
| 4.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) | |
| 32.5% | (/.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))) | |
| 4.3% | (/.f64 #s(literal 0 binary64) (sin.f64 x)) | |
| 52.1% | (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 73.7% | (*.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))) |
| 33.1% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) | |
| ✓ | 73.8% | (*.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)) |
| 45.0% | (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 45.0% | (*.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 58.6% | (*.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))) |
| 49.7% | (*.f64 (/.f64 (cosh.f64 (-.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.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))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 58.6% | (*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| 45.1% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 99.4% | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 99.3% | (*.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))) |
| 58.0% | (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (* (sqrt (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x))) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 x)))) | |
| 50.0% | (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 32.4% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) | |
| 32.9% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) | |
| 58.5% | (*.f64 #s(approx (/ (pow (sin (* x 1/2)) 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)) | |
| 62.5% | (*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 58.0% | (*.f64 #s(approx (sqrt (sin (* x 1/2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) (*.f64 (sqrt.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)))) | |
| 3.2% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) | |
| 58.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x))) | |
| 32.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x))))) | |
| 57.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) | |
| 57.7% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) | |
| 32.2% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))) | |
| ✓ | 58.4% | #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)) |
| 58.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| ✓ | 58.5% | #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)) |
| 58.2% | #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)) | |
| 57.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))) | |
| 2.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))) | |
| ✓ | 58.6% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| 21.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (+ (* (* 1/18 (* x x)) x) (* 2/3 x)) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
Compiled 2 687 to 1 034 computations (61.5% 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 (fma.f64 #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 (*.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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))) |
(*.f64 #s(approx (/ (pow (sin (* x 1/2)) 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 #s(literal 1/4 binary64) (*.f64 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 #s(approx (+ (* 17/30240 (* x x)) 1/180) #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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x 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)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))) |
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 0 binary64) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) |
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (neg.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)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (+ (* (* 1/18 (* x x)) x) (* 2/3 x)) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (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))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(/.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 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (* (sqrt (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x))) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 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))) |
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.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))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))))) |
(*.f64 #s(approx (sqrt (sin (* x 1/2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) (*.f64 (sqrt.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)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) 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 (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 #s(literal 1/2 binary64) x)) #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 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 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)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.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 (/.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 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.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)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (cosh.f64 (-.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.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))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
2 calls:
| 17.0ms | x |
| 14.0ms | (/.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 |
|---|---|---|
| 99.4% | 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)) |
| 99.4% | 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 (fma.f64 #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 (*.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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))) |
(*.f64 #s(approx (/ (pow (sin (* x 1/2)) 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 #s(literal 1/4 binary64) (*.f64 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 #s(approx (+ (* 17/30240 (* x x)) 1/180) #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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x 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)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))) |
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 0 binary64) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) |
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (neg.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)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (+ (* (* 1/18 (* x x)) x) (* 2/3 x)) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (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))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(/.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 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (* (sqrt (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x))) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 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))) |
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.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))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))))) |
(*.f64 #s(approx (sqrt (sin (* x 1/2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) (*.f64 (sqrt.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)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) 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 (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 #s(literal 1/2 binary64) x)) #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 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 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 (*.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))) |
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)) |
| 12.0ms | 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 (fma.f64 #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 (*.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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))) |
(*.f64 #s(approx (/ (pow (sin (* x 1/2)) 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 #s(literal 1/4 binary64) (*.f64 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 #s(approx (+ (* 17/30240 (* x x)) 1/180) #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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x 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)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))) |
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 0 binary64) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) |
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (neg.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)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (+ (* (* 1/18 (* x x)) x) (* 2/3 x)) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (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))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(/.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 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (* (sqrt (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x))) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 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))) |
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.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))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))))) |
(*.f64 #s(approx (sqrt (sin (* x 1/2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) (*.f64 (sqrt.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)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) 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 (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 #s(literal 1/2 binary64) x)) #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 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 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)) |
2 calls:
| 14.0ms | x |
| 13.0ms | (/.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 |
|---|---|---|
| 99.4% | 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)) |
| 99.4% | 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 (fma.f64 #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 (*.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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))) |
(*.f64 #s(approx (/ (pow (sin (* x 1/2)) 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 #s(literal 1/4 binary64) (*.f64 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 #s(approx (+ (* 17/30240 (* x x)) 1/180) #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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x 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)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))) |
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 0 binary64) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) |
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (neg.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)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (+ (* (* 1/18 (* x x)) x) (* 2/3 x)) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (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))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(/.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 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (* (sqrt (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x))) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 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))) |
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.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))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))))) |
(*.f64 #s(approx (sqrt (sin (* x 1/2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))) (*.f64 (sqrt.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)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x)))) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #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 (fma.f64 #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 (*.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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))) |
(*.f64 #s(approx (/ (pow (sin (* x 1/2)) 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 #s(literal 1/4 binary64) (*.f64 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 #s(approx (+ (* 17/30240 (* x x)) 1/180) #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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x 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)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))) |
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 0 binary64) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) |
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (neg.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)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (+ (* (* 1/18 (* x x)) x) (* 2/3 x)) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (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))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(/.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 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (* (sqrt (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x))) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 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))) |
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (pow (sin (* x 1/2)) 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
1 calls:
| 20.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 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 (fma.f64 #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 (*.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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))) |
(*.f64 #s(approx (/ (pow (sin (* x 1/2)) 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 #s(literal 1/4 binary64) (*.f64 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 #s(approx (+ (* 17/30240 (* x x)) 1/180) #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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x 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)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))) |
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 0 binary64) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) |
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (neg.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)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (+ (* (* 1/18 (* x x)) x) (* 2/3 x)) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (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))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(/.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 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (* (sqrt (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x))) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 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))) |
(/.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)) |
| Outputs |
|---|
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
2 calls:
| 24.0ms | x |
| 8.0ms | (/.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 |
|---|---|---|
| 62.5% | 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)) |
| 62.5% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
Total -36.0b remaining (-136.2%)
Threshold costs -36b (-136.2%)
| 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 (fma.f64 #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 (*.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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))) |
(*.f64 #s(approx (/ (pow (sin (* x 1/2)) 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 #s(literal 1/4 binary64) (*.f64 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 #s(approx (+ (* 17/30240 (* x x)) 1/180) #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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x 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)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
2 calls:
| 29.0ms | x |
| 4.0ms | (/.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 |
|---|---|---|
| 58.6% | 1 | x |
| 58.6% | 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)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 8.045290083041974e-10 | 2.5163228929686906e-6 |
| 4.0ms | 48× | 0 | valid |
Compiled 166 to 135 computations (18.7% saved)
ival-div: 1.0ms (39.2% of total)ival-mult: 1.0ms (39.2% of total)ival-sin: 1.0ms (39.2% 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)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 4.6837317878594445e-6 | 0.11082433261778415 |
| 9.0ms | 128× | 0 | valid |
Compiled 427 to 343 computations (19.7% saved)
ival-div: 2.0ms (30.6% of total)ival-mult: 2.0ms (30.6% of total)ival-sin: 2.0ms (30.6% 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)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 129.0ms | 4.6837317878594445e-6 | 0.11082433261778415 |
Compiled 283 to 247 computations (12.7% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 190 |
| 1 | 101 | 190 |
| 2 | 133 | 190 |
| 3 | 189 | 190 |
| 4 | 292 | 190 |
| 5 | 504 | 190 |
| 6 | 949 | 190 |
| 7 | 2069 | 190 |
| 8 | 4854 | 190 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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))) |
(if (<=.f64 x #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 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 5188146770730811/1152921504606846976 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(if (<=.f64 x #s(literal 5188146770730811/1152921504606846976 binary64)) (*.f64 #s(approx (/ (pow (sin (* x 1/2)) 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 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)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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))) |
(if (<=.f64 x #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 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 5188146770730811/1152921504606846976 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(if (<=.f64 x #s(literal 5188146770730811/1152921504606846976 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(if (<=.f64 x #s(literal 5188146770730811/1152921504606846976 binary64)) (*.f64 #s(approx (/ (pow (sin (* x 1/2)) 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(if (<=.f64 x #s(literal 5188146770730811/1152921504606846976 binary64)) (*.f64 #s(approx (/ (pow (sin (* x 1/2)) 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 324 |
| 0 | 100 | 318 |
| 1 | 300 | 308 |
| 2 | 1718 | 308 |
| 0 | 8518 | 302 |
| 0 | 166 | 467 |
| 1 | 576 | 461 |
| 2 | 1714 | 461 |
| 3 | 4531 | 461 |
| 0 | 8076 | 423 |
| 0 | 205 | 710 |
| 1 | 702 | 710 |
| 2 | 2096 | 702 |
| 3 | 5891 | 702 |
| 0 | 8161 | 653 |
| 0 | 90 | 225 |
| 1 | 292 | 225 |
| 2 | 833 | 219 |
| 3 | 3515 | 219 |
| 0 | 8076 | 201 |
| 0 | 40 | 204 |
| 0 | 63 | 201 |
| 1 | 167 | 195 |
| 2 | 737 | 195 |
| 3 | 7895 | 195 |
| 0 | 8076 | 195 |
| 0 | 11 | 34 |
| 0 | 19 | 34 |
| 1 | 29 | 28 |
| 2 | 81 | 28 |
| 0 | 360 | 28 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 205 to 76 computations (62.9% saved)
Compiled 580 to 276 computations (52.4% saved)
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