
Time bar (total: 6.3s)
| 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)
| 1.3s | 8 256× | 0 | valid |
ival-sin: 507.0ms (46.8% of total)ival-div: 276.0ms (25.5% of total)ival-mult: 274.0ms (25.3% of total)exact: 13.0ms (1.2% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)adjust: 2.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 61 | 0 | - | 3 | (4.242109333331784e-156) | (/.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 | 130 | (1.3563675651649507e+209) | 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 | 130 | 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 | 58 | 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 | 58 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 58 | 3 |
| - | 130 | 65 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 58 | 0 | 3 |
| - | 130 | 0 | 65 |
| number | freq |
|---|---|
| 0 | 68 |
| 1 | 188 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 61.0ms | 512× | 0 | valid |
Compiled 126 to 37 computations (70.6% saved)
ival-sin: 22.0ms (48.7% of total)ival-div: 12.0ms (26.5% of total)ival-mult: 9.0ms (19.9% of total)exact: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 35 |
| 1 | 31 | 29 |
| 2 | 101 | 28 |
| 3 | 371 | 28 |
| 4 | 907 | 28 |
| 5 | 1961 | 28 |
| 6 | 4006 | 28 |
| 7 | 7974 | 28 |
| 0 | 11 | 14 |
| 0 | 19 | 14 |
| 1 | 26 | 14 |
| 2 | 40 | 14 |
| 3 | 83 | 14 |
| 4 | 186 | 14 |
| 5 | 398 | 14 |
| 6 | 823 | 14 |
| 7 | 2009 | 14 |
| 8 | 6025 | 14 |
| 0 | 8010 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(negabs x)
Compiled 16 to 11 computations (31.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.7% | (/.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 | 398 | 45 |
| 6 | 823 | 45 |
| 7 | 2009 | 45 |
| 8 | 6025 | 45 |
| 0 | 8010 | 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 | 0.0 | (sin.f64 x) | |
| accuracy | 0.20703125 | (*.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 | 0.31640625 | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 14.11314030012277 | (/.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)) |
| 30.0ms | 256× | 0 | valid |
Compiled 55 to 13 computations (76.4% saved)
ival-sin: 11.0ms (54.9% of total)ival-div: 4.0ms (20% of total)ival-mult: 4.0ms (20% 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 | |
|---|---|---|---|---|
| 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)) |
| 1.0ms | 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 225 |
| 1 | 292 | 225 |
| 2 | 850 | 219 |
| 3 | 3575 | 219 |
| 4 | 7623 | 219 |
| 0 | 8009 | 195 |
| 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 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* 4/3 x) |
(*.f64 #s(literal 4/3 binary64) x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(sin 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 1 127 to 228 computations (79.8% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 12 | 60 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 49 | 12 | 61 |
| Status | Accuracy | Program |
|---|---|---|
| 53.6% | (/.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)) | |
| ▶ | 77.6% | (/.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)) |
| 77.7% | (/.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)) | |
| 4.8% | (/.f64 (*.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)))) (sin.f64 x)) | |
| 28.4% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| ▶ | 29.1% | (/.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)) |
| 77.6% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ▶ | 77.7% | (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
| ▶ | 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| 99.2% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 49.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) | |
| ▶ | 50.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 382 to 294 computations (23% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) #s(literal 8/3 binary64)) | |
| cost-diff | 0 | (/.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)) | |
| 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)) (sin.f64 x)) | |
| cost-diff | 0 | (*.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)) | |
| 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 #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)) (sin.f64 x)) | |
| cost-diff | 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 188 |
| 0 | 46 | 176 |
| 1 | 77 | 176 |
| 2 | 119 | 176 |
| 3 | 207 | 176 |
| 4 | 365 | 176 |
| 5 | 690 | 176 |
| 6 | 2091 | 176 |
| 7 | 6846 | 176 |
| 0 | 8017 | 176 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sin.f64 x) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(literal 2/3 binary64) |
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 x x) |
x |
#s(literal 2/3 binary64) |
(sin.f64 x) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (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) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(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) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
| Outputs |
|---|
(*.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 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(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 |
(sin.f64 x) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) |
#s(literal 8/3 binary64) |
#s(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 |
(/.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 (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 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 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) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.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 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(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) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.26171875 | (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) | |
| accuracy | 0.26171875 | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) | |
| accuracy | 14.11314030012277 | (/.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)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.26171875 | (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) | |
| accuracy | 0.296875 | (*.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)) | |
| accuracy | 14.08534777707015 | (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.15625 | (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) | |
| accuracy | 14.11314030012277 | (/.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 | 31.424297470135347 | #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) | |
| accuracy | 0.3203125 | (*.f64 #s(literal 2/3 binary64) x) | |
| accuracy | 31.81307006201204 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.16015625 | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) | |
| accuracy | 0.22265625 | (*.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))) | |
| accuracy | 0.31640625 | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
| 104.0ms | 256× | 0 | valid |
Compiled 180 to 29 computations (83.9% saved)
ival-mult: 26.0ms (34% of total)ival-sin: 25.0ms (32.7% of total)ival-div: 11.0ms (14.4% of total)const: 9.0ms (11.8% of total)ival-pow2: 4.0ms (5.2% 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)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(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 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 x x) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(/.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 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 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)))))))) |
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 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(pow x 2) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(* 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))) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin (* 1/2 x)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(pow (sin (* 1/2 x)) 2) |
(* 8/3 (sin (* 1/2 x))) |
(sin x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 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)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (sin (* 1/2 x)) 8/3) (sin x)) |
| 2.0ms | x | @ | -inf | ((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 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)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (sin (* 1/2 x)) 8/3) (sin x)) |
| 2.0ms | x | @ | 0 | ((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 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)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (sin (* 1/2 x)) 8/3) (sin x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 446 |
| 1 | 552 | 446 |
| 2 | 1665 | 440 |
| 3 | 4396 | 440 |
| 4 | 7630 | 440 |
| 0 | 8096 | 402 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
1/2 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(pow x 2) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(* 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))) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin (* 1/2 x)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(pow (sin (* 1/2 x)) 2) |
(* 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) |
1/2 |
#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 #s(literal 1/16 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) #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 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* 1/4 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
(* 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))) |
(/ (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)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(pow (sin (* 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(* 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 | 31 | 147 |
| 0 | 46 | 135 |
| 1 | 95 | 135 |
| 0 | 239 | 135 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(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 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 x x) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(/.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 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #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 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 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(neg.f64 (/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))) |
(neg.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(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)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (neg.f64 (sin.f64 x))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sin.f64 x))) |
(neg.f64 (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (neg.f64 (sin.f64 x)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 #s(literal 2/3 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/3 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 (*.f64 #s(literal 2/3 binary64) x) x) |
(*.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
(sin.f64 x) |
Compiled 3 677 to 564 computations (84.7% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 172 | 14 | 186 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 175 | 23 | 198 |
| Status | Accuracy | Program |
|---|---|---|
| 53.6% | (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| 77.7% | (/.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)) | |
| 4.8% | (/.f64 (*.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)))) (sin.f64 x)) | |
| 46.9% | (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| 28.4% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| ✓ | 29.1% | (/.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)) |
| 28.2% | (/.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))) | |
| 29.1% | (/.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)) | |
| 77.6% | (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 77.7% | (*.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)) |
| 53.5% | (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| 70.2% | (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| ✓ | 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| 50.0% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))) | |
| ▶ | 29.1% | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
| ▶ | 50.0% | (*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| 99.3% | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| ▶ | 99.2% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| ▶ | 99.3% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
| 50.0% | (*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| 54.2% | (*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| ▶ | 49.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| ✓ | 50.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 735 to 546 computations (25.7% saved)
Found 20 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 | (*.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))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/4 binary64) x) x) | |
| cost-diff | 0 | #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| 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 | (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 3 | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 235 |
| 0 | 67 | 226 |
| 1 | 112 | 226 |
| 2 | 196 | 226 |
| 3 | 392 | 226 |
| 4 | 749 | 226 |
| 5 | 1212 | 226 |
| 6 | 2771 | 226 |
| 7 | 7668 | 226 |
| 0 | 8035 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(literal 8/3 binary64) |
(sin.f64 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 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
x |
(sin.f64 x) |
#s(literal 8/3 binary64) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
#s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sin.f64 x) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(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 #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) |
| Outputs |
|---|
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (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) |
(/.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 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal 8/3 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))) |
#s(literal 8/3 binary64) |
(sin.f64 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 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) |
(/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
x |
(sin.f64 x) |
#s(literal 8/3 binary64) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
#s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sin.f64 x) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) 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 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (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)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.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 #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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.2890625 | (*.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 | 0.390625 | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| accuracy | 0.39453125 | (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) | |
| accuracy | 0.16015625 | (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) | |
| accuracy | 0.22265625 | (*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| accuracy | 0.31640625 | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) | |
| accuracy | 31.87529628978027 | #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.296875 | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| accuracy | 14.08534777707015 | (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) | |
| accuracy | 31.427731397532206 | #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.10546875 | (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) | |
| accuracy | 0.1875 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) | |
| accuracy | 31.974851606571644 | #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 | 0.0 | (sin.f64 x) | |
| accuracy | 0.2890625 | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) | |
| accuracy | 0.30078125 | (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| accuracy | 0.31640625 | (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 106.0ms | 256× | 0 | valid |
Compiled 202 to 37 computations (81.7% saved)
ival-mult: 38.0ms (43.3% of total)ival-sin: 27.0ms (30.8% of total)ival-div: 9.0ms (10.3% of total)const: 9.0ms (10.3% of total)ival-pow2: 3.0ms (3.4% of total)ival-add: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
#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 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
#s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.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))) |
(*.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) (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)) |
(/.f64 #s(literal 8/3 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)))))))) |
(* 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)))) |
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))))))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(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 |
(+ 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 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) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(sin (* 1/2 x)) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 1/18 (pow x 3)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* 1/18 (pow x 2)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(pow (sin (* 1/2 x)) 2) |
(/ (sin (* 1/2 x)) (sin x)) |
(* 8/3 (sin (* 1/2 x))) |
(sin x) |
(/ 8/3 (sin x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((* (sin (* x 1/2)) (/ (* 8/3 (sin (* x 1/2))) (sin x))) (sin (* x 1/2)) (* x 1/2) (/ (* 8/3 (sin (* x 1/2))) (sin x)) (/ (* (* (/ 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) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (* (* 1/4 x) x) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x)) (* 8/3 (sin (* x 1/2))) (sin x) (* (sin (* 1/2 x)) 8/3) (/ 8/3 (sin x))) |
| 3.0ms | x | @ | -inf | ((* (sin (* x 1/2)) (/ (* 8/3 (sin (* x 1/2))) (sin x))) (sin (* x 1/2)) (* x 1/2) (/ (* 8/3 (sin (* x 1/2))) (sin x)) (/ (* (* (/ 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) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (* (* 1/4 x) x) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x)) (* 8/3 (sin (* x 1/2))) (sin x) (* (sin (* 1/2 x)) 8/3) (/ 8/3 (sin x))) |
| 2.0ms | x | @ | 0 | ((* (sin (* x 1/2)) (/ (* 8/3 (sin (* x 1/2))) (sin x))) (sin (* x 1/2)) (* x 1/2) (/ (* 8/3 (sin (* x 1/2))) (sin x)) (/ (* (* (/ 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) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (* (* 1/4 x) x) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x)) (* 8/3 (sin (* x 1/2))) (sin x) (* (sin (* 1/2 x)) 8/3) (/ 8/3 (sin x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 517 |
| 1 | 653 | 511 |
| 2 | 2056 | 511 |
| 3 | 5498 | 511 |
| 0 | 8047 | 462 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
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))))))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(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 |
(+ 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 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) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(sin (* 1/2 x)) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 1/18 (pow x 3)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* 1/18 (pow x 2)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(pow (sin (* 1/2 x)) 2) |
(/ (sin (* 1/2 x)) (sin x)) |
(* 8/3 (sin (* 1/2 x))) |
(sin x) |
(/ 8/3 (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) |
(* 1/2 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)) |
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)) |
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 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 |
#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)) |
(* 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 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) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 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) (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 x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 204 |
| 0 | 67 | 195 |
| 1 | 147 | 195 |
| 0 | 495 | 195 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
#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 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
#s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.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))) |
(*.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) (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)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
| Outputs |
|---|
(*.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 #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 #s(literal 8/3 binary64) (sin.f64 x)) (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)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (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 #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 #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 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (/.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 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))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 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 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64))) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)) |
(fma.f64 #s(literal 2/3 binary64) x (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x)) |
(fma.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) (*.f64 x #s(literal 2/3 binary64))) |
(fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x) (*.f64 #s(literal 2/3 binary64) x)) |
(+.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x)) |
(+.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x #s(literal 2/3 binary64))) |
(+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) |
(/.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 2/3 binary64)) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 2/3 binary64)) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) x) x #s(literal 2/3 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/18 binary64) x) #s(literal 2/3 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/18 binary64) (*.f64 x x))) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/18 binary64))) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) (/.f64 #s(literal 8/27 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) |
(+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x))) |
(/.f64 (*.f64 (neg.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (neg.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (neg.f64 (sin.f64 x))) |
(/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (sin.f64 x))) |
(neg.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (neg.f64 (sin.f64 x)))) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(*.f64 x (*.f64 #s(literal 1/4 binary64) x)) |
(*.f64 (*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (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(approx (sin (* 1/2 x)) (*.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) (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (sin.f64 x)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) |
(/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) |
(neg.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) |
#s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 (/.f64 #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 #s(literal 8/3 binary64) (sin.f64 x)) (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)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (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 #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 #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 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #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 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (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 x) |
(*.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))) |
(/.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))) |
(neg.f64 (/.f64 #s(literal 8/3 binary64) (neg.f64 (sin.f64 x)))) |
Compiled 4 557 to 672 computations (85.3% saved)
29 alts after pruning (22 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 187 | 12 | 199 |
| Fresh | 4 | 10 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 193 | 29 | 222 |
| Status | Accuracy | Program |
|---|---|---|
| 53.6% | (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| 77.7% | (/.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)) | |
| 4.8% | (/.f64 (*.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)))) (sin.f64 x)) | |
| 46.9% | (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| 28.4% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 28.4% | (/.f64 (*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (sin.f64 x)) | |
| ✓ | 29.1% | (/.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)) |
| 28.2% | (/.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))) | |
| 29.1% | (/.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)) | |
| 77.6% | (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 77.7% | (*.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)) |
| 53.5% | (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| ✓ | 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| ✓ | 29.1% | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
| ▶ | 28.2% | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
| 70.4% | (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) | |
| ▶ | 99.3% | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 50.0% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 8/3 binary64)) | |
| ▶ | 50.3% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 99.3% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
| 50.0% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) | |
| 54.2% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) | |
| 29.1% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 50.0% | (*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) | |
| ▶ | 49.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) |
| ▶ | 49.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
| 49.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) | |
| ✓ | 49.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| ✓ | 50.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 1 011 to 742 computations (26.6% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) | |
| cost-diff | 1 | (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))) | |
| cost-diff | 2 | (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) | |
| cost-diff | 2 | (pow.f64 (*.f64 x x) #s(literal 3 binary64)) | |
| 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)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) | |
| cost-diff | 3 | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/4 binary64) x) x) | |
| cost-diff | 0 | #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.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 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) | |
| cost-diff | 2 | (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x 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 x #s(literal 1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 378 |
| 0 | 93 | 370 |
| 1 | 162 | 350 |
| 2 | 423 | 340 |
| 3 | 1825 | 340 |
| 4 | 4534 | 340 |
| 5 | 6354 | 340 |
| 0 | 8103 | 333 |
| 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 x #s(literal 1/2 binary64)))) |
(*.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) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) |
(fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
x |
#s(literal 2/3 binary64) |
(*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x x)) |
#s(literal 1/18 binary64) |
(*.f64 x x) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
x |
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#s(literal 8/3 binary64) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 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(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)) |
(/.f64 #s(literal 8/3 binary64) x) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) |
(fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) |
#s(literal 1/5832 binary64) |
(pow.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
#s(literal 8/27 binary64) |
(-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))) |
(+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) |
(pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x x)) |
#s(literal 1/18 binary64) |
#s(literal 2 binary64) |
#s(literal 4/9 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/27 binary64)) |
#s(literal 1/27 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (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) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x 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)) |
(fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
x |
#s(literal 2/3 binary64) |
(*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) |
(*.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) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (/.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))) #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) |
(/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
x |
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#s(literal 8/3 binary64) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) (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)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(*.f64 #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)) (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(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)) |
(/.f64 #s(literal 8/3 binary64) x) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5832 binary64) (*.f64 #s(literal -8/27 binary64) x)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/324 binary64) (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -4/9 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5832 binary64) (*.f64 #s(literal -8/27 binary64) x)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/324 binary64) (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -4/9 binary64))) |
(*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) |
(*.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 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) |
#s(literal 1/5832 binary64) |
(pow.f64 (*.f64 x x) #s(literal 3 binary64)) |
(pow.f64 x #s(literal 6 binary64)) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
#s(literal 8/27 binary64) |
(-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))) |
(fma.f64 (*.f64 #s(literal -1/27 binary64) x) x (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64))) |
(+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) |
(fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) |
(pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/18 binary64)) |
#s(literal 1/18 binary64) |
#s(literal 2 binary64) |
#s(literal 4/9 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/27 binary64)) |
(*.f64 #s(literal 1/27 binary64) (*.f64 x x)) |
#s(literal 1/27 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25701434102440357 | (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) | |
| accuracy | 11.164062500000002 | (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))) | |
| accuracy | 22.902585737133748 | (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) | |
| accuracy | 31.974851606571644 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) | |
| accuracy | 0.2890625 | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 0.390625 | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) | |
| accuracy | 0.40234375 | (/.f64 #s(literal 8/3 binary64) x) | |
| accuracy | 31.67359727561979 | #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)) | |
| accuracy | 0.296875 | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) | |
| accuracy | 14.08534777707015 | (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) | |
| accuracy | 31.427731397532206 | #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) | |
| accuracy | 31.91219301718727 | #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) | |
| accuracy | 0.09765625 | (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) | |
| accuracy | 0.1328125 | (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) | |
| accuracy | 0.16015625 | (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) | |
| accuracy | 31.974851606571644 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.16015625 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) | |
| accuracy | 0.1953125 | (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| accuracy | 0.2890625 | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 283.0ms | 256× | 0 | valid |
Compiled 300 to 54 computations (82% saved)
const: 72.0ms (30% of total)ival-sin: 69.0ms (28.7% of total)ival-mult: 53.0ms (22.1% of total)ival-add: 23.0ms (9.6% of total)ival-div: 11.0ms (4.6% of total)ival-pow2: 5.0ms (2.1% of total)ival-pow: 5.0ms (2.1% of total)ival-sub: 1.0ms (0.4% of total)exact: 1.0ms (0.4% 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 x #s(literal 1/2 binary64)))) |
(*.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 (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) |
(fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x x)) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(pow.f64 (*.f64 x x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))) |
(+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) |
(sin.f64 x) |
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)) |
(/.f64 #s(literal 8/3 binary64) x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) |
(fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 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 |
(+ 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)))) |
(* 1/18 (pow x 3)) |
(* 1/18 (pow x 2)) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(pow x 6) |
(* 1/324 (pow x 4)) |
4/9 |
(+ 4/9 (* -1/27 (pow x 2))) |
(+ 4/9 (* (pow x 2) (- (* 1/324 (pow x 2)) 1/27))) |
(+ 4/9 (* 1/324 (pow x 4))) |
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) |
8/27 |
(+ 8/27 (* 1/5832 (pow x 6))) |
(* 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)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(pow (sin (* 1/2 x)) 2) |
(* (pow x 4) (- 1/324 (* 1/27 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/324 (/ 4/9 (pow x 4))) (* 1/27 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/324 (* 4/9 (/ 1 (pow x 4))))) |
(sin x) |
(/ 8/3 (sin x)) |
(* 1/5832 (pow x 6)) |
(* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | 0 | ((* (* (/ (sin (* x 1/2)) (sin x)) 8/3) (sin (* x 1/2))) (* (/ (sin (* x 1/2)) (sin x)) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x (* 1/18 (* x x))) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (+ (* x 2/3) (* x (* 1/18 (* x x)))) (* 1/18 (* x x)) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (* (* 1/4 x) x) (* (* (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) (pow (* x x) 3) (pow (* 1/18 (* x x)) 2) (- (+ (pow (* 1/18 (* x x)) 2) 4/9) (* (* x x) 1/27)) (+ (pow (* 1/18 (* x x)) 2) 4/9) (sin x) (sin x) (/ 8/3 (sin x)) (/ 8/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (+ (* 1/5832 (pow (* x x) 3)) 8/27) x) (- (+ (pow (* 1/18 (* x x)) 2) 4/9) (* (* x x) 1/27))) (+ (* 1/5832 (pow (* x x) 3)) 8/27)) |
| 8.0ms | x | @ | inf | ((* (* (/ (sin (* x 1/2)) (sin x)) 8/3) (sin (* x 1/2))) (* (/ (sin (* x 1/2)) (sin x)) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x (* 1/18 (* x x))) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (+ (* x 2/3) (* x (* 1/18 (* x x)))) (* 1/18 (* x x)) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (* (* 1/4 x) x) (* (* (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) (pow (* x x) 3) (pow (* 1/18 (* x x)) 2) (- (+ (pow (* 1/18 (* x x)) 2) 4/9) (* (* x x) 1/27)) (+ (pow (* 1/18 (* x x)) 2) 4/9) (sin x) (sin x) (/ 8/3 (sin x)) (/ 8/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (+ (* 1/5832 (pow (* x x) 3)) 8/27) x) (- (+ (pow (* 1/18 (* x x)) 2) 4/9) (* (* x x) 1/27))) (+ (* 1/5832 (pow (* x x) 3)) 8/27)) |
| 5.0ms | x | @ | -inf | ((* (* (/ (sin (* x 1/2)) (sin x)) 8/3) (sin (* x 1/2))) (* (/ (sin (* x 1/2)) (sin x)) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x (* 1/18 (* x x))) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (+ (* x 2/3) (* x (* 1/18 (* x x)))) (* 1/18 (* x x)) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (* (* 1/4 x) x) (* (* (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) (pow (* x x) 3) (pow (* 1/18 (* x x)) 2) (- (+ (pow (* 1/18 (* x x)) 2) 4/9) (* (* x x) 1/27)) (+ (pow (* 1/18 (* x x)) 2) 4/9) (sin x) (sin x) (/ 8/3 (sin x)) (/ 8/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (+ (* 1/5832 (pow (* x x) 3)) 8/27) x) (- (+ (pow (* 1/18 (* x x)) 2) 4/9) (* (* x x) 1/27))) (+ (* 1/5832 (pow (* x x) 3)) 8/27)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 538 |
| 1 | 682 | 532 |
| 2 | 2123 | 528 |
| 3 | 5825 | 528 |
| 0 | 8034 | 479 |
| 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)))) |
(* 1/18 (pow x 3)) |
(* 1/18 (pow x 2)) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(pow x 6) |
(* 1/324 (pow x 4)) |
4/9 |
(+ 4/9 (* -1/27 (pow x 2))) |
(+ 4/9 (* (pow x 2) (- (* 1/324 (pow x 2)) 1/27))) |
(+ 4/9 (* 1/324 (pow x 4))) |
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) |
8/27 |
(+ 8/27 (* 1/5832 (pow x 6))) |
(* 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)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(pow (sin (* 1/2 x)) 2) |
(* (pow x 4) (- 1/324 (* 1/27 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/324 (/ 4/9 (pow x 4))) (* 1/27 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/324 (* 4/9 (/ 1 (pow x 4))))) |
(sin x) |
(/ 8/3 (sin x)) |
(* 1/5832 (pow x 6)) |
(* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6))))) |
| 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 |
#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)) |
(* 1/18 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) |
(* 1/18 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/18 binary64)) |
(* 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)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(* 1/324 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) |
4/9 |
#s(literal 4/9 binary64) |
(+ 4/9 (* -1/27 (pow x 2))) |
(fma.f64 #s(literal -1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)) |
(+ 4/9 (* (pow x 2) (- (* 1/324 (pow x 2)) 1/27))) |
(fma.f64 (fma.f64 #s(literal 1/324 binary64) (*.f64 x x) #s(literal -1/27 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) |
(+ 4/9 (* 1/324 (pow x 4))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)) |
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) |
8/27 |
#s(literal 8/27 binary64) |
(+ 8/27 (* 1/5832 (pow x 6))) |
(fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 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)) |
(* (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))) |
(/ (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)) |
(* (pow x 4) (- 1/324 (* 1/27 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/324 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/324 (/ 4/9 (pow x 4))) (* 1/27 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/324 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ 1/324 (* 4/9 (/ 1 (pow x 4))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)) |
(sin x) |
(sin.f64 x) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(* 1/5832 (pow x 6)) |
(*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/5832 (* 8/27 (/ 1 (pow x 6))))) |
(fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 315 |
| 0 | 93 | 307 |
| 1 | 268 | 279 |
| 0 | 1540 | 275 |
| 1× | iter limit |
| 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 x #s(literal 1/2 binary64)))) |
(*.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 (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) |
(fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x x)) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(pow.f64 (*.f64 x x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))) |
(+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) |
(sin.f64 x) |
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)) |
(/.f64 #s(literal 8/3 binary64) x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) |
(fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) |
| 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 (*.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 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
(/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(neg.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (sin.f64 x))) |
(neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/18 binary64) x)) |
(*.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 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) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 4/9 binary64) (*.f64 x x))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (*.f64 #s(literal 2/3 binary64) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2/3 binary64) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (*.f64 #s(literal 2/3 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))))) |
(/.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))))) |
(/.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (*.f64 #s(literal 2/3 binary64) x))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (neg.f64 x)) (neg.f64 x) (*.f64 #s(literal 2/3 binary64) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 #s(literal 2/3 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal 2/3 binary64) x)) |
(fma.f64 #s(literal 2/3 binary64) x (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))) |
(fma.f64 #s(literal 2/3 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x (*.f64 #s(literal 2/3 binary64) x)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/18 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) |
(fma.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2/3 binary64) x)) |
(fma.f64 x #s(literal 2/3 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))) |
(fma.f64 x #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 #s(literal 2/3 binary64) x)) |
(-.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))))) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))))) |
(-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) x)) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) x)) |
(-.f64 (*.f64 #s(literal 2/3 binary64) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (*.f64 #s(literal -2/3 binary64) x)) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (*.f64 (neg.f64 x) #s(literal 2/3 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (*.f64 #s(literal 2/3 binary64) x))))) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (*.f64 #s(literal 2/3 binary64) x)))))) |
(+.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))) |
(+.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/18 binary64)) |
(*.f64 (*.f64 #s(literal 1/18 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/18 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/18 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/18 binary64)) |
(*.f64 #s(literal 1/18 binary64) (pow.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/18 binary64) x)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/18 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) #s(literal 8/3 binary64)) |
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(+.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) (*.f64 #s(literal 1/27 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 4/9 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal 1/27 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 16/81 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 4 binary64)) #s(literal 16/81 binary64))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/34012224 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 64/729 binary64))) (neg.f64 (fma.f64 #s(literal 4/9 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64))) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 4 binary64)) #s(literal 16/81 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64))) |
(/.f64 (fma.f64 #s(literal 1/34012224 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 64/729 binary64)) (+.f64 #s(literal 16/81 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/324 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/34012224 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 64/729 binary64)) (fma.f64 #s(literal 4/9 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64))) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 #s(literal 1/18 binary64) x)) x #s(literal 4/9 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x)) #s(literal 1/18 binary64) #s(literal 4/9 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 x x) #s(literal 4/9 binary64)) |
(fma.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) #s(literal 4/9 binary64)) |
(fma.f64 (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) #s(literal 4/9 binary64)) |
(fma.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/18 binary64)))) (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/18 binary64)))) #s(literal 4/9 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 4/9 binary64)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)) |
(fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 4/9 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) #s(literal 4/9 binary64)) |
(fma.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) #s(literal 4/9 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64))) (/.f64 #s(literal 16/81 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)))) |
(-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal -1/324 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 #s(literal 4/9 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 6 binary64)) (fma.f64 #s(literal 4/9 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64))) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 64/729 binary64) (fma.f64 #s(literal 4/9 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64))) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 4 binary64))))) |
(+.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64)) #s(literal 4/9 binary64)) |
(sin.f64 x) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)) |
(/.f64 #s(literal -8/3 binary64) (neg.f64 x)) |
(/.f64 #s(literal 8/3 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 8/3 binary64) x) |
(neg.f64 (/.f64 #s(literal -8/3 binary64) x)) |
(neg.f64 (/.f64 #s(literal 8/3 binary64) (neg.f64 x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/27 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)))) (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))) |
(*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))))) |
(*.f64 x (/.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 64/729 binary64)) (/.f64 x (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))))) (-.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8/27 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/198359290368 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 512/19683 binary64)) (/.f64 x (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 64/729 binary64)) (*.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 64/729 binary64)) x) (*.f64 (-.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8/27 binary64)) (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/198359290368 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 512/19683 binary64)) x) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 64/729 binary64)) (*.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))))) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))) (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))) (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64))))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)))))) |
(/.f64 (-.f64 #s(literal 64/729 binary64) (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 8/27 binary64) (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 64/729 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8/27 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/198359290368 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 512/19683 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 64/729 binary64)) (*.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 64/729 binary64)) (-.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8/27 binary64))) |
(/.f64 (fma.f64 #s(literal 1/198359290368 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 512/19683 binary64)) (+.f64 #s(literal 64/729 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/198359290368 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 512/19683 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 64/729 binary64)) (*.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x) #s(literal 8/27 binary64)) |
(fma.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64)) |
(fma.f64 (*.f64 #s(literal 1/5832 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)) #s(literal 8/27 binary64)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/5832 binary64)) #s(literal 8/27 binary64)) |
(fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/5832 binary64)) #s(literal 8/27 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/5832 binary64)) #s(literal 8/27 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8/27 binary64))) (/.f64 #s(literal 64/729 binary64) (-.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8/27 binary64)))) |
(-.f64 #s(literal 8/27 binary64) (*.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(-.f64 #s(literal 8/27 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/5832 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 64/729 binary64)) (*.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 512/19683 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 64/729 binary64)) (*.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8/27 binary64)) |
(+.f64 #s(literal 8/27 binary64) (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)))) |
Compiled 12 327 to 1 455 computations (88.2% saved)
33 alts after pruning (23 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 333 | 6 | 339 |
| Fresh | 0 | 17 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 335 | 33 | 368 |
| Status | Accuracy | Program |
|---|---|---|
| 53.6% | (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| 77.7% | (/.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)) | |
| 4.8% | (/.f64 (*.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)))) (sin.f64 x)) | |
| 46.9% | (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| 28.4% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 28.4% | (/.f64 (*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (sin.f64 x)) | |
| ✓ | 29.1% | (/.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)) |
| 28.2% | (/.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))) | |
| 29.1% | (/.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)) | |
| 77.6% | (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 28.7% | (*.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))) | |
| ✓ | 77.7% | (*.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)) |
| 53.5% | (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| ✓ | 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| 27.9% | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) | |
| ✓ | 29.1% | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
| ✓ | 28.2% | (*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
| 70.4% | (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) | |
| ✓ | 99.3% | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 50.0% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 8/3 binary64)) | |
| ✓ | 99.3% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
| 50.0% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) | |
| 54.2% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) | |
| 29.1% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 50.0% | (*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) | |
| ✓ | 49.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) |
| 49.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) #s(approx (- (+ (pow (* 1/18 (* x x)) 2) 4/9) (* (* x x) 1/27)) #s(literal 4/9 binary64)))) | |
| 49.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) | |
| 48.7% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 64/729 binary64)) x) (*.f64 (-.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8/27 binary64)) (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)))))) | |
| ✓ | 49.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| 49.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)))))) | |
| ✓ | 50.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| 17.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (+ (* x 2/3) (* x (* 1/18 (* x 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 1 667 to 756 computations (54.6% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (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 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (+ (* x 2/3) (* x (* 1/18 (* x 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 (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) #s(approx (- (+ (pow (* 1/18 (* x x)) 2) 4/9) (* (* x x) 1/27)) #s(literal 4/9 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(/.f64 (*.f64 (*.f64 #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)))) (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 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 64/729 binary64)) x) (*.f64 (-.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8/27 binary64)) (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)))))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| Outputs |
|---|
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
2 calls:
| 16.0ms | x |
| 11.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 99.3% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (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 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (+ (* x 2/3) (* x (* 1/18 (* x 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 (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) #s(approx (- (+ (pow (* 1/18 (* x x)) 2) 4/9) (* (* x x) 1/27)) #s(literal 4/9 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(*.f64 (/.f64 (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:
| 29.0ms | (/.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)) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 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)) |
| 99.3% | 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 (*.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 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (+ (* x 2/3) (* x (* 1/18 (* x 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 (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) #s(approx (- (+ (pow (* 1/18 (* x x)) 2) 4/9) (* (* x x) 1/27)) #s(literal 4/9 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x)) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 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 (*.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 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (+ (* x 2/3) (* x (* 1/18 (* x 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 (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) #s(approx (- (+ (pow (* 1/18 (* x x)) 2) 4/9) (* (* x x) 1/27)) #s(literal 4/9 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal 4/9 binary64)))))) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x)) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 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 (*.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 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (+ (* x 2/3) (* x (* 1/18 (* x 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 (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) #s(approx (- (+ (pow (* 1/18 (* x x)) 2) 4/9) (* (* x x) 1/27)) #s(literal 4/9 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
1 calls:
| 32.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 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 (*.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 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (+ (* x 2/3) (* x (* 1/18 (* x 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 (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) #s(approx (- (+ (pow (* 1/18 (* x x)) 2) 4/9) (* (* x x) 1/27)) #s(literal 4/9 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (sin.f64 x)) |
| Outputs |
|---|
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
2 calls:
| 7.0ms | x |
| 6.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.2% | 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)) |
| 54.2% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
Total -0.3b remaining (-1%)
Threshold costs -0.3b (-1%)
| 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 (*.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 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
2 calls:
| 2.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 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)) |
| 50.1% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.6416584443106327e-5 | 5.8231320932938284e-5 |
| 3.0ms | 32× | 0 | valid |
Compiled 127 to 97 computations (23.6% saved)
ival-mult: 1.0ms (58.4% of total)ival-sin: 1.0ms (58.4% of total)ival-div: 0.0ms (0% 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 |
|---|---|---|
| 17.0ms | 5.8231320932938284e-5 | 49.04129860755339 |
| 11.0ms | 144× | 0 | valid |
Compiled 541 to 402 computations (25.7% saved)
ival-sin: 3.0ms (39.7% of total)ival-div: 2.0ms (26.5% of total)ival-mult: 2.0ms (26.5% 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 |
|---|---|---|
| 2.0ms | 5.8231320932938284e-5 | 49.04129860755339 |
Compiled 478 to 348 computations (27.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.8231320932938284e-5 | 49.04129860755339 |
Compiled 478 to 348 computations (27.2% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 270 |
| 1 | 94 | 270 |
| 2 | 153 | 270 |
| 3 | 248 | 270 |
| 4 | 468 | 270 |
| 5 | 1232 | 270 |
| 6 | 5456 | 270 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(if (<=.f64 x #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) (*.f64 (/.f64 (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 7724574080865875/2305843009213693952 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))) |
(if (<=.f64 x #s(literal 7724574080865875/2305843009213693952 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))) |
(if (<=.f64 x #s(literal 7724574080865875/2305843009213693952 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| Outputs |
|---|
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(if (<=.f64 x #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) (*.f64 (/.f64 (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 7724574080865875/2305843009213693952 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))) |
(if (<=.f64 x #s(literal 7724574080865875/2305843009213693952 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))) |
(if (<=.f64 x #s(literal 7724574080865875/2305843009213693952 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 0 | 19 | 34 |
| 1 | 29 | 28 |
| 2 | 81 | 28 |
| 0 | 360 | 28 |
| 0 | 184 | 517 |
| 1 | 653 | 511 |
| 2 | 2056 | 511 |
| 3 | 5498 | 511 |
| 0 | 8047 | 462 |
| 0 | 43 | 204 |
| 0 | 67 | 195 |
| 1 | 147 | 195 |
| 0 | 495 | 195 |
| 0 | 90 | 225 |
| 1 | 292 | 225 |
| 2 | 850 | 219 |
| 3 | 3575 | 219 |
| 4 | 7623 | 219 |
| 0 | 8009 | 195 |
| 0 | 31 | 147 |
| 0 | 46 | 135 |
| 1 | 95 | 135 |
| 0 | 239 | 135 |
| 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× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
Compiled 280 to 72 computations (74.3% saved)
Compiled 740 to 268 computations (63.8% saved)
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