
Time bar (total: 6.1s)
| 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)
| 1.2s | 8 256× | 0 | valid |
ival-sin: 496.0ms (56.1% of total)ival-mult: 193.0ms (21.8% of total)ival-div: 176.0ms (19.9% of total)exact: 10.0ms (1.1% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 63 | 0 | - | 3 | (-5.726483118999193e-157) | (/.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 | 131 | (1.9753020598791216e+290) | 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 | 131 | 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 | 60 | 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 | 60 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 60 | 3 |
| - | 131 | 62 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 60 | 0 | 3 |
| - | 131 | 0 | 62 |
| number | freq |
|---|---|
| 0 | 65 |
| 1 | 191 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 62.0ms | 512× | 0 | valid |
Compiled 179 to 48 computations (73.2% saved)
ival-sin: 22.0ms (47.3% of total)ival-div: 14.0ms (30.1% of total)ival-mult: 9.0ms (19.3% of total)exact: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 35 |
| 1 | 29 | 29 |
| 2 | 87 | 28 |
| 3 | 276 | 28 |
| 4 | 544 | 28 |
| 5 | 1120 | 28 |
| 6 | 2476 | 28 |
| 7 | 5113 | 28 |
| 0 | 11 | 14 |
| 0 | 19 | 14 |
| 1 | 26 | 14 |
| 2 | 40 | 14 |
| 3 | 83 | 14 |
| 4 | 186 | 14 |
| 5 | 397 | 14 |
| 6 | 816 | 14 |
| 7 | 1829 | 14 |
| 8 | 4532 | 14 |
| 0 | 8173 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(negabs x)
Compiled 16 to 11 computations (31.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.1% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 16 to 11 computations (31.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| cost-diff | 2 | (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 19 | 45 |
| 1 | 26 | 45 |
| 2 | 40 | 45 |
| 3 | 83 | 45 |
| 4 | 186 | 45 |
| 5 | 397 | 45 |
| 6 | 816 | 45 |
| 7 | 1829 | 45 |
| 8 | 4532 | 45 |
| 0 | 8173 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
#s(literal 8/3 binary64) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.16796875 | (*.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 | 0.33203125 | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 14.506001248786834 | (/.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)) |
| 32.0ms | 256× | 0 | valid |
Compiled 108 to 24 computations (77.8% saved)
ival-sin: 14.0ms (57.8% of total)ival-div: 6.0ms (24.8% of total)ival-mult: 4.0ms (16.5% of total)ival-true: 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)) |
| 1.0ms | 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)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 225 |
| 1 | 292 | 225 |
| 2 | 833 | 219 |
| 3 | 3515 | 219 |
| 0 | 8076 | 201 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (sin (* 1/2 x))) |
(sin x) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* 2/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) |
(* 4/3 x) |
(*.f64 #s(literal 4/3 binary64) x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 #s(literal 4/3 binary64) x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(sin x) |
(sin.f64 x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 0 | 19 | 34 |
| 1 | 29 | 28 |
| 2 | 81 | 28 |
| 0 | 360 | 28 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(sin.f64 x) |
| Outputs |
|---|
#s(literal 8/3 binary64) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) |
(*.f64 #s(literal -8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) |
(*.f64 #s(literal -8/3 binary64) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 (neg.f64 (neg.f64 x))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) x))) |
(sin.f64 (+.f64 (neg.f64 x) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) |
(sin.f64 x) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
Compiled 1 133 to 229 computations (79.8% saved)
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 |
|---|---|---|
| 53.8% | (/.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)) | |
| 77.1% | (/.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)) | |
| 77.1% | (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| ▶ | 27.4% | (/.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)) |
| 28.0% | (/.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)) | |
| ▶ | 77.0% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| 77.0% | (*.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)) | |
| ▶ | 99.3% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| 98.9% | (*.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))) | |
| ▶ | 49.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
| 49.4% | #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)) | |
| ▶ | 49.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 412 to 308 computations (25.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| cost-diff | 0 | (*.f64 #s(literal 4/3 binary64) x) | |
| cost-diff | 0 | #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| 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 | 39 | 219 |
| 0 | 61 | 210 |
| 1 | 105 | 210 |
| 2 | 195 | 210 |
| 3 | 548 | 210 |
| 4 | 1750 | 210 |
| 5 | 3223 | 210 |
| 6 | 4407 | 210 |
| 7 | 5890 | 210 |
| 0 | 8108 | 210 |
| 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 |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 (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) |
(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)) |
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) |
#s(literal 1/180 binary64) |
(*.f64 x x) |
x |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
#s(literal 4/3 binary64) |
x |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 x) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (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 |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(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)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) |
#s(literal 1/180 binary64) |
(*.f64 x x) |
x |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
#s(literal 4/3 binary64) |
x |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 x) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.25390625 | (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) | |
| accuracy | 0.39453125 | (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) | |
| accuracy | 14.575551748056998 | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| accuracy | 0.16796875 | (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 0.3046875 | (*.f64 #s(literal 4/3 binary64) x) | |
| accuracy | 14.506001248786834 | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| accuracy | 32.09629259644489 | #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) | |
| accuracy | 0.046875 | (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)) | |
| accuracy | 0.08203125 | (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) | |
| accuracy | 0.1640625 | (*.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) | |
| accuracy | 32.24444272564647 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| accuracy | 0.3046875 | (*.f64 #s(literal 2/3 binary64) x) | |
| accuracy | 31.9797477292759 | #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 | 0.21368712333376821 | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) | |
| accuracy | 0.217128759768442 | (*.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 | 0.33203125 | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
| 84.0ms | 256× | 0 | valid |
Compiled 435 to 75 computations (82.8% saved)
ival-sin: 19.0ms (28.6% of total)ival-mult: 18.0ms (27.1% of total)const: 15.0ms (22.6% of total)ival-div: 6.0ms (9% of total)ival-pow2: 4.0ms (6% of total)ival-add: 3.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.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) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 (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) |
(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)) |
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(sin.f64 x) |
(/.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 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))) |
1/18 |
(+ 1/18 (* 1/180 (pow x 2))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
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)) (sin x)) |
(sin (* 1/2 x)) |
(* 1/180 (pow x 5)) |
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(* 1/180 (pow x 4)) |
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(* 1/180 (pow x 2)) |
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (sin (* 1/2 x))) |
(pow (sin (* 1/2 x)) 2) |
(sin x) |
(/ 8/3 (sin x)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180))) |
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)) (* (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) (+ (* 1/180 (* x x)) 1/18) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* (sin (* 1/2 x)) 8/3) (sin x) (/ 8/3 (sin x))) |
| 3.0ms | x | @ | -inf | ((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 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)) (* (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) (+ (* 1/180 (* x x)) 1/18) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* (sin (* 1/2 x)) 8/3) (sin 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)) (* (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) (+ (* 1/180 (* x x)) 1/18) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* (sin (* 1/2 x)) 8/3) (sin x) (/ 8/3 (sin x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 564 |
| 1 | 632 | 564 |
| 2 | 1875 | 557 |
| 3 | 5445 | 557 |
| 0 | 8108 | 514 |
| 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 |
(+ 2/3 (* 1/18 (pow x 2))) |
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))) |
1/18 |
(+ 1/18 (* 1/180 (pow x 2))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
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)) (sin x)) |
(sin (* 1/2 x)) |
(* 1/180 (pow x 5)) |
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(* 1/180 (pow x 4)) |
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(* 1/180 (pow x 2)) |
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (sin (* 1/2 x))) |
(pow (sin (* 1/2 x)) 2) |
(sin x) |
(/ 8/3 (sin x)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180))) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/16 (pow x 2))) |
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) x) x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x)) |
2/3 |
#s(literal 2/3 binary64) |
(+ 2/3 (* 1/18 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
1/18 |
#s(literal 1/18 binary64) |
(+ 1/18 (* 1/180 (pow x 2))) |
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) |
(* 2/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) |
(* 4/3 x) |
(*.f64 #s(literal 4/3 binary64) x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 #s(literal 4/3 binary64) x)) |
(* 1/4 (pow x 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
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 #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)) |
(* 1/180 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64)) |
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/180 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/180 binary64)) |
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) |
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) |
(* 1/180 (pow x 2)) |
(*.f64 #s(literal 1/180 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(pow (sin (* 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(sin x) |
(sin.f64 x) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 #s(literal 2/3 binary64) x) x)) (*.f64 x x)) #s(literal 1/180 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 182 |
| 0 | 61 | 173 |
| 1 | 150 | 173 |
| 2 | 582 | 173 |
| 3 | 5387 | 173 |
| 0 | 8106 | 173 |
| 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(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(sin.f64 x) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (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 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (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)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 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 #s(literal -1/2 binary64) x)) #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 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (*.f64 (sin.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal -8/3 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (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) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(neg.f64 (*.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)))) |
(fma.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (*.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (fabs.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (fabs.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (*.f64 (cos.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64))) |
(sin.f64 (neg.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (acos.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))) |
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(sin.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (fma.f64 #s(literal -1/2 binary64) x (PI.f64))) |
(sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) |
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (cos.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 0 binary64))) |
(fabs.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(cos.f64 (neg.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) |
(cos.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (asin.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))) |
(cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64))) |
(+.f64 (cosh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sinh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x #s(literal 2/3 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 2/3 binary64) #s(literal 4/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 2/3 binary64) #s(literal 4/9 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (+.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 2/3 binary64) #s(literal 4/9 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 2/3 binary64) #s(literal 4/9 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 2/3 binary64) #s(literal 4/9 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 8/27 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (*.f64 #s(literal 2/3 binary64) x) #s(literal 4/9 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))) |
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(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (PI.f64)))) (cos.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) x (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) (cos.f64 (fma.f64 x #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (cos.f64 (-.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (cos.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) (cos.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.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 (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 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) x))) (cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (cosh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 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 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) x)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) x (PI.f64)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(fabs.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cosh.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 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)) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (PI.f64) x)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) (*.f64 (cos.f64 x) #s(literal 0 binary64))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) x))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 x) (PI.f64))) |
(sin.f64 x) |
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) x)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 0 binary64))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (PI.f64) x)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 0 binary64))) |
(/.f64 #s(literal -8/3 binary64) (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))) |
Compiled 20 419 to 2 422 computations (88.1% saved)
32 alts after pruning (27 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 607 | 23 | 630 |
| Fresh | 3 | 4 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 610 | 32 | 642 |
| Status | Accuracy | Program |
|---|---|---|
| 77.1% | (/.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)) | |
| 53.8% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) | |
| 27.0% | (/.f64 (*.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 x)) | |
| ✓ | 27.4% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 28.0% | (/.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)) | |
| 47.7% | (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 24.5% | (*.f64 (pow.f64 (+.f64 (cosh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sinh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 77.0% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| 27.7% | (*.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))) | |
| 77.0% | (*.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)) | |
| 53.4% | (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 49.6% | (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) | |
| 70.0% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) | |
| ✓ | 99.3% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| 25.2% | (*.f64 (/.f64 (sin.f64 (acos.f64 (cos.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))) | |
| ▶ | 49.6% | (*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 53.6% | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 53.7% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 13.6% | (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ▶ | 98.9% | (*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 49.1% | (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))) | |
| 45.9% | (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 29.1% | (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 27.9% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 53.7% | (*.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))) | |
| ▶ | 48.7% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) |
| ✓ | 49.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
| ▶ | 48.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) |
| ▶ | 49.4% | #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)) |
| 48.7% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/180 binary64)) #s(literal 2/3 binary64)))))) | |
| ✓ | 49.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| 9.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 #s(literal 2/3 binary64) x) x)) (*.f64 x x)) #s(literal 1/180 binary64))))) |
Compiled 1 315 to 953 computations (27.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) | |
| cost-diff | 1 | (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))) | |
| cost-diff | 0 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) | |
| cost-diff | 1 | (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 4/3 binary64) x) | |
| cost-diff | 0 | #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 534 |
| 0 | 94 | 534 |
| 1 | 163 | 534 |
| 2 | 414 | 534 |
| 3 | 1959 | 534 |
| 4 | 7934 | 534 |
| 0 | 8004 | 526 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
x |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
#s(literal 4/3 binary64) |
x |
(sin.f64 x) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))) |
(*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) |
(-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(literal 4/9 binary64) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/180 binary64) |
#s(literal 1/18 binary64) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)) |
#s(literal 2/3 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) |
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/180 binary64) |
#s(literal 1/18 binary64) |
#s(literal 3 binary64) |
(pow.f64 x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal 8/27 binary64) |
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(literal 2/3 binary64) |
#s(literal 4/9 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.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) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
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) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#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 (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
(/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
#s(literal 4/3 binary64) |
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) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x (fma.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 4/9 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x (fma.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 4/9 binary64))) |
(*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) |
(*.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) |
(-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) |
#s(literal 4/9 binary64) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64))) |
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) |
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/180 binary64) |
#s(literal 1/18 binary64) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)) |
(fma.f64 (*.f64 #s(literal -1/18 binary64) x) x (fma.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64))) |
#s(literal 2/3 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64))) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)) |
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) |
(pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) |
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/180 binary64) |
#s(literal 1/18 binary64) |
#s(literal 3 binary64) |
(pow.f64 x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal 8/27 binary64) |
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))) |
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(literal 2/3 binary64) |
#s(literal 4/9 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5319137695368841 | (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) | |
| accuracy | 1.0022673094423045 | (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))) | |
| accuracy | 24.590468107827984 | (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))) | |
| accuracy | 32.24444272564647 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) | |
| accuracy | 0.19921875 | (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) | |
| accuracy | 0.21484375 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) | |
| accuracy | 22.82059959179138 | (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))) | |
| accuracy | 32.24444272564647 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) | |
| accuracy | 0.28125 | (*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 0.3046875 | (*.f64 #s(literal 4/3 binary64) x) | |
| accuracy | 0.3247237617849413 | (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) | |
| accuracy | 32.09629259644489 | #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.1015625 | (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) | |
| accuracy | 0.21875 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) | |
| accuracy | 32.22566522746922 | #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 | 0.28125 | (*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 0.39453125 | (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) | |
| accuracy | 0.5898419152197449 | (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 113.0ms | 242× | 0 | valid |
| 14.0ms | 11× | 3 | valid |
| 1.0ms | 2× | 1 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 1 032 to 115 computations (88.9% saved)
ival-mult: 30.0ms (29.7% of total)const: 23.0ms (22.8% of total)ival-div: 13.0ms (12.9% of total)ival-sin: 11.0ms (10.9% of total)ival-pow: 10.0ms (9.9% of total)ival-add: 5.0ms (4.9% of total)ival-sub: 4.0ms (4% of total)adjust: 3.0ms (3% of total)ival-pow2: 3.0ms (3% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(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 (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))) |
(*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) |
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))) |
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 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))))))) |
(/ 8/3 x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(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)))) |
(+ 2/3 (* -1/18 (pow x 2))) |
(+ 2/3 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18))) |
(* 4/9 x) |
(* x (+ 4/9 (* -1/324 (pow x 4)))) |
(* x (+ 4/9 (* (pow x 4) (- (* -1/1620 (pow x 2)) 1/324)))) |
(* x (+ 4/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/32400 (pow x 2)) 1/1620)) 1/324)))) |
(* -2/3 x) |
(* x (- (* 1/18 (pow x 2)) 2/3)) |
(* x (- (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) 2/3)) |
8/27 |
(+ 8/27 (* 1/5832 (pow x 6))) |
(+ 8/27 (* (pow x 6) (+ 1/5832 (* 1/19440 (pow x 2))))) |
(+ 8/27 (* (pow x 6) (+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2))))))) |
(* 1/18 x) |
(* x (+ 1/18 (* 1/180 (pow x 2)))) |
(* 9/4 x) |
(* x (+ 9/4 (* 3/16 (pow x 2)))) |
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* 3/160 (pow x 2)))))) |
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* (pow x 2) (+ 3/160 (* -1/768 (pow x 2)))))))) |
1/5832 |
(+ 1/5832 (* 1/19440 (pow x 2))) |
(+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2))))) |
(+ 1/5832 (* (pow x 2) (+ 1/19440 (* (pow x 2) (+ 1/194400 (* 1/5832000 (pow x 2))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(/ 8/3 (sin 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))))) |
(* 8/3 (sin (* 1/2 x))) |
(* -1/180 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))) |
(* 1/180 (pow x 5)) |
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(* -1/32400 (pow x 9)) |
(* -1 (* (pow x 9) (+ 1/32400 (* 1/1620 (/ 1 (pow x 2)))))) |
(* (pow x 9) (- (* -1 (/ (+ 1/1620 (* 1/324 (/ 1 (pow x 2)))) (pow x 2))) 1/32400)) |
(* (pow x 9) (- (* 4/9 (/ 1 (pow x 8))) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))))) |
(* (pow x 5) (- (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (/ 2/3 (pow x 4)))) |
(* 1/5832000 (pow x 12)) |
(* (pow x 12) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6))))))) |
(* 1/180 (pow x 3)) |
(* (pow x 3) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(/ 32400 (pow x 7)) |
(/ (- 32400 (* 648000 (/ 1 (pow x 2)))) (pow x 7)) |
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (* 648000 (/ 1 (pow x 2)))) (pow x 7)) |
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6))))) (pow x 7)) |
(* 1/5832000 (pow x 6)) |
(* (pow x 6) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6))))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180))) |
(* -1 (* (pow x 9) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 9) (- (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))) (* 4/9 (/ 1 (pow x 8)))))) |
(* -1 (* (pow x 5) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))) |
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) 32400) (pow x 7))) |
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7))) |
(* -1 (/ (- (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6)))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((* (* (/ 8/3 (sin x)) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8/3 (sin x)) (sin (* x 1/2))) (/ 8/3 (sin x)) (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) (* (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)) (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x))) (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9))) (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (* (+ (* (* x x) 1/180) 1/18) x) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (pow (+ (* (* x x) 1/180) 1/18) 3)) |
| 5.0ms | x | @ | inf | ((* (* (/ 8/3 (sin x)) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8/3 (sin x)) (sin (* x 1/2))) (/ 8/3 (sin x)) (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) (* (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)) (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x))) (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9))) (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (* (+ (* (* x x) 1/180) 1/18) x) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (pow (+ (* (* x x) 1/180) 1/18) 3)) |
| 5.0ms | x | @ | -inf | ((* (* (/ 8/3 (sin x)) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8/3 (sin x)) (sin (* x 1/2))) (/ 8/3 (sin x)) (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) (* (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)) (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x))) (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9))) (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (* (+ (* (* x x) 1/180) 1/18) x) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (pow (+ (* (* x x) 1/180) 1/18) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 300 | 993 |
| 1 | 995 | 987 |
| 2 | 3056 | 982 |
| 3 | 7418 | 982 |
| 0 | 8057 | 927 |
| 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))))))) |
(/ 8/3 x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(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)))) |
(+ 2/3 (* -1/18 (pow x 2))) |
(+ 2/3 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18))) |
(* 4/9 x) |
(* x (+ 4/9 (* -1/324 (pow x 4)))) |
(* x (+ 4/9 (* (pow x 4) (- (* -1/1620 (pow x 2)) 1/324)))) |
(* x (+ 4/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/32400 (pow x 2)) 1/1620)) 1/324)))) |
(* -2/3 x) |
(* x (- (* 1/18 (pow x 2)) 2/3)) |
(* x (- (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) 2/3)) |
8/27 |
(+ 8/27 (* 1/5832 (pow x 6))) |
(+ 8/27 (* (pow x 6) (+ 1/5832 (* 1/19440 (pow x 2))))) |
(+ 8/27 (* (pow x 6) (+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2))))))) |
(* 1/18 x) |
(* x (+ 1/18 (* 1/180 (pow x 2)))) |
(* 9/4 x) |
(* x (+ 9/4 (* 3/16 (pow x 2)))) |
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* 3/160 (pow x 2)))))) |
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* (pow x 2) (+ 3/160 (* -1/768 (pow x 2)))))))) |
1/5832 |
(+ 1/5832 (* 1/19440 (pow x 2))) |
(+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2))))) |
(+ 1/5832 (* (pow x 2) (+ 1/19440 (* (pow x 2) (+ 1/194400 (* 1/5832000 (pow x 2))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(/ 8/3 (sin 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))))) |
(* 8/3 (sin (* 1/2 x))) |
(* -1/180 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))) |
(* 1/180 (pow x 5)) |
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(* -1/32400 (pow x 9)) |
(* -1 (* (pow x 9) (+ 1/32400 (* 1/1620 (/ 1 (pow x 2)))))) |
(* (pow x 9) (- (* -1 (/ (+ 1/1620 (* 1/324 (/ 1 (pow x 2)))) (pow x 2))) 1/32400)) |
(* (pow x 9) (- (* 4/9 (/ 1 (pow x 8))) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))))) |
(* (pow x 5) (- (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (/ 2/3 (pow x 4)))) |
(* 1/5832000 (pow x 12)) |
(* (pow x 12) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6))))))) |
(* 1/180 (pow x 3)) |
(* (pow x 3) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(/ 32400 (pow x 7)) |
(/ (- 32400 (* 648000 (/ 1 (pow x 2)))) (pow x 7)) |
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (* 648000 (/ 1 (pow x 2)))) (pow x 7)) |
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6))))) (pow x 7)) |
(* 1/5832000 (pow x 6)) |
(* (pow x 6) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6))))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180))) |
(* -1 (* (pow x 9) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 9) (- (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))) (* 4/9 (/ 1 (pow x 8)))))) |
(* -1 (* (pow x 5) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))) |
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) 32400) (pow x 7))) |
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7))) |
(* -1 (/ (- (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6)))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7))) |
| 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)) |
(/ 8/3 x) |
(/.f64 #s(literal 8/3 binary64) x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (*.f64 x x) #s(literal 7/135 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) x) |
2/3 |
#s(literal 2/3 binary64) |
(+ 2/3 (* 1/18 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 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 (*.f64 #s(literal 1/1440 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64)) #s(literal 1/18 binary64))) (*.f64 #s(literal 4/3 binary64) x)) |
(+ 2/3 (* -1/18 (pow x 2))) |
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(+ 2/3 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(* 4/9 x) |
(*.f64 #s(literal 4/9 binary64) x) |
(* x (+ 4/9 (* -1/324 (pow x 4)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/324 binary64) #s(literal 4/9 binary64)) x) |
(* x (+ 4/9 (* (pow x 4) (- (* -1/1620 (pow x 2)) 1/324)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/1620 binary64) (*.f64 x x)) #s(literal 1/324 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x) |
(* x (+ 4/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/32400 (pow x 2)) 1/1620)) 1/324)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/32400 binary64) (*.f64 x x)) #s(literal 1/1620 binary64)) x) x) #s(literal 1/324 binary64)) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 4/9 binary64) x)) |
(* -2/3 x) |
(*.f64 #s(literal -2/3 binary64) x) |
(* x (- (* 1/18 (pow x 2)) 2/3)) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) 2/3)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/180 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) x) |
8/27 |
#s(literal 8/27 binary64) |
(+ 8/27 (* 1/5832 (pow x 6))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) |
(+ 8/27 (* (pow x 6) (+ 1/5832 (* 1/19440 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/19440 binary64) (*.f64 x x) #s(literal 1/5832 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) |
(+ 8/27 (* (pow x 6) (+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/194400 binary64) (*.f64 x x) #s(literal 1/19440 binary64)) (*.f64 x x) #s(literal 1/5832 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) |
(* 1/18 x) |
(*.f64 #s(literal 1/18 binary64) x) |
(* x (+ 1/18 (* 1/180 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) |
(* 9/4 x) |
(*.f64 #s(literal 9/4 binary64) x) |
(* x (+ 9/4 (* 3/16 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 3/16 binary64) (*.f64 x x) #s(literal 9/4 binary64)) x) |
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* 3/160 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3/160 binary64) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 9/4 binary64)) x) |
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* (pow x 2) (+ 3/160 (* -1/768 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/768 binary64) (*.f64 x x) #s(literal 3/160 binary64)) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 9/4 binary64)) x) |
1/5832 |
#s(literal 1/5832 binary64) |
(+ 1/5832 (* 1/19440 (pow x 2))) |
(fma.f64 #s(literal 1/19440 binary64) (*.f64 x x) #s(literal 1/5832 binary64)) |
(+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/194400 binary64) (*.f64 x x) #s(literal 1/19440 binary64)) (*.f64 x x) #s(literal 1/5832 binary64)) |
(+ 1/5832 (* (pow x 2) (+ 1/19440 (* (pow x 2) (+ 1/194400 (* 1/5832000 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5832000 binary64) (*.f64 x x) #s(literal 1/194400 binary64)) (*.f64 x x) #s(literal 1/19440 binary64)) (*.f64 x x) #s(literal 1/5832 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))) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(sin x) |
(sin.f64 x) |
(* 1/18 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(* 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)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* -1/180 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64)) |
(* -1 (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal -1/180 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/180 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/180 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64)) |
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) |
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/180 binary64)) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1/32400 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/32400 binary64)) |
(* -1 (* (pow x 9) (+ 1/32400 (* 1/1620 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/1620 binary64) (*.f64 x x)) #s(literal -1/32400 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- (* -1 (/ (+ 1/1620 (* 1/324 (/ 1 (pow x 2)))) (pow x 2))) 1/32400)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/1620 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64))) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- (* 4/9 (/ 1 (pow x 8))) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/32400 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/324 binary64) (*.f64 x x)) #s(literal 1/1620 binary64)) x) x)) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 5) (- (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (/ 2/3 (pow x 4)))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/5832000 (pow x 12)) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/5832000 binary64)) |
(* (pow x 12) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/194400 binary64) (*.f64 x x)) #s(literal 1/5832000 binary64)) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/19440 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5832000 binary64)) (/.f64 #s(literal -1/194400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/19440 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5832000 binary64)) (/.f64 #s(literal -1/194400 binary64) (*.f64 x x))) (/.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 12 binary64))) |
(* 1/180 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/180 binary64)) |
(* (pow x 3) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) x) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/180 binary64))) |
(/ 32400 (pow x 7)) |
(/.f64 #s(literal 32400 binary64) (pow.f64 x #s(literal 7 binary64))) |
(/ (- 32400 (* 648000 (/ 1 (pow x 2)))) (pow x 7)) |
(/.f64 (-.f64 #s(literal 32400 binary64) (/.f64 #s(literal 648000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (* 648000 (/ 1 (pow x 2)))) (pow x 7)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 32400 binary64)) (/.f64 #s(literal 648000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6))))) (pow x 7)) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 32400 binary64)) (/.f64 #s(literal 648000 binary64) (*.f64 x x))) (/.f64 #s(literal 246240000 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* 1/5832000 (pow x 6)) |
(*.f64 #s(literal 1/5832000 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/194400 binary64) (*.f64 x x)) #s(literal 1/5832000 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/19440 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5832000 binary64)) (/.f64 #s(literal -1/194400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/19440 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5832000 binary64)) (/.f64 #s(literal -1/194400 binary64) (*.f64 x x))) (/.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/180 binary64)))) |
(* -1 (* (pow x 9) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/324 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/1620 binary64) (*.f64 x x)) #s(literal -1/32400 binary64))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))) (* 4/9 (/ 1 (pow x 8)))))) |
(*.f64 (neg.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal -1/1620 binary64) (*.f64 x x))) (/.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 8 binary64))))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 5) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/180 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 x x)))) |
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) 32400) (pow x 7))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x x)) #s(literal 32400 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7))) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x x)) #s(literal 32400 binary64)) (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (pow.f64 x #s(literal 7 binary64)))) |
(* -1 (/ (- (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6)))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7))) |
(/.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 246240000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 32400 binary64)) (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal -648000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 378 |
| 0 | 94 | 378 |
| 1 | 287 | 336 |
| 2 | 1828 | 336 |
| 0 | 8461 | 330 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(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 (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
(*.f64 #s(literal 4/3 binary64) x) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))) |
(*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) |
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))) |
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) |
| 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 (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 (*.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 (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)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(*.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 (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 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (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))) |
(*.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 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))) (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)) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.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)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(/.f64 #s(literal -8/3 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal 8/3 binary64) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(neg.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(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 x #s(literal 6 binary64)) #s(literal 1/324 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 4/9 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/324 binary64))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/5832 binary64) (*.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/324 binary64) (-.f64 (*.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 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/5832 binary64))) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/324 binary64)) (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 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 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)))) (neg.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64))) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.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 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/18 binary64)) (*.f64 #s(literal 2/3 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)) |
(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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))) |
(fma.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 3 binary64)) (*.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 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) (*.f64 #s(literal 2/3 binary64) x)) |
(fma.f64 x #s(literal 2/3 binary64) (*.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) (*.f64 (/.f64 #s(literal 4/9 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 (/.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 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 (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) (*.f64 #s(literal -1/18 binary64) (*.f64 x x)))) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/18 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/18 binary64)))) (+.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/18 binary64)))) |
(/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) x)))) (+.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) (*.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/9 binary64) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))) (fma.f64 (/.f64 #s(literal 4/9 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 (/.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 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 (-.f64 #s(literal 8/27 binary64) (pow.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (fma.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/18 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 8/27 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/18 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/18 binary64)))))) |
(/.f64 (-.f64 #s(literal 8/27 binary64) (pow.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (fma.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))))) |
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(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))) #s(literal 2 binary64) (log.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))))) |
(exp.f64 (+.f64 (log.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))) (log.f64 (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/18 binary64) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/18 binary64) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 1/18 binary64))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 1/18 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64))))) |
Compiled 46 817 to 3 633 computations (92.2% saved)
29 alts after pruning (23 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 722 | 7 | 729 |
| Fresh | 6 | 16 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 732 | 29 | 761 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.1% | (/.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)) |
| ▶ | 53.8% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
| ✓ | 27.4% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 28.0% | (/.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)) | |
| 47.7% | (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 24.5% | (*.f64 (pow.f64 (+.f64 (cosh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sinh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 77.0% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| 27.7% | (*.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))) | |
| 77.0% | (*.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)) | |
| 49.6% | (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) | |
| 70.0% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) | |
| 25.2% | (*.f64 (/.f64 (sin.f64 (acos.f64 (cos.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))) | |
| ✓ | 49.6% | (*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 53.6% | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 53.7% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 13.6% | (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ▶ | 99.3% | (*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 45.9% | (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 29.1% | (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 27.9% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 53.7% | (*.f64 #s(approx (* (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| 48.6% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) | |
| 48.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/324 binary64) #s(literal 4/9 binary64)) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) | |
| ▶ | 49.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) |
| ✓ | 49.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
| ✓ | 49.4% | #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)) |
| 48.7% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 x (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x))) (-.f64 #s(literal 4/9 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x) #s(literal 2 binary64))))) | |
| ▶ | 49.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) |
| ✓ | 49.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 1 194 to 898 computations (24.8% saved)
| 1× | egg-herbie |
Found 20 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 | (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) | |
| cost-diff | 2 | (*.f64 #s(literal 1 binary64) x) | |
| cost-diff | 5 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) | |
| cost-diff | 0 | #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) | |
| cost-diff | 1 | (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) | |
| cost-diff | 0 | #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))) | |
| cost-diff | 0 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) | |
| cost-diff | 1 | (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) 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 | 0 | (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) | |
| cost-diff | 3 | (*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 500 |
| 0 | 103 | 487 |
| 1 | 193 | 479 |
| 2 | 493 | 476 |
| 3 | 2179 | 476 |
| 4 | 7859 | 476 |
| 0 | 8072 | 465 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
#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) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) |
(/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))) |
#s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) |
(*.f64 #s(literal 4/9 binary64) x) |
#s(literal 4/9 binary64) |
x |
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)) |
#s(literal 2/3 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) |
(*.f64 x x) |
#s(literal 1/180 binary64) |
#s(literal 1/18 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) |
(*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))) |
#s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) |
#s(literal 8/27 binary64) |
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))) |
x |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) |
(*.f64 x x) |
#s(literal 1/180 binary64) |
#s(literal 1/18 binary64) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(literal 2/3 binary64) |
#s(literal 4/9 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
x |
#s(literal 8/3 binary64) |
(*.f64 #s(literal 2 binary64) (sin.f64 x)) |
#s(literal 2 binary64) |
(sin.f64 x) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #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 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(literal 8/3 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) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x (fma.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64))))) |
(/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))) |
(/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x (fma.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) |
#s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) |
(*.f64 #s(literal 4/9 binary64) x) |
#s(literal 4/9 binary64) |
x |
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)) |
(fma.f64 (*.f64 #s(literal -1/18 binary64) x) x (fma.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64))) |
#s(literal 2/3 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) |
(*.f64 x x) |
#s(literal 1/180 binary64) |
#s(literal 1/18 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))) #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)))) |
(*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))) #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64))) |
#s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) |
#s(literal 8/27 binary64) |
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))) |
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))) |
x |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) |
(*.f64 x x) |
#s(literal 1/180 binary64) |
#s(literal 1/18 binary64) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(literal 2/3 binary64) |
#s(literal 4/9 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal 1 binary64) x)) |
(cos.f64 x) |
(*.f64 #s(literal 1 binary64) x) |
x |
x |
#s(literal 8/3 binary64) |
(*.f64 #s(literal 2 binary64) (sin.f64 x)) |
#s(literal 2 binary64) |
(sin.f64 x) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #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 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.25390625 | (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) | |
| accuracy | 0.296875 | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) | |
| accuracy | 14.506001248786834 | (/.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 | (cos.f64 (*.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.29296875 | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) | |
| accuracy | 14.478295827870962 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) | |
| accuracy | 14.807742201321584 | (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) | |
| accuracy | 1.0022673094423045 | (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))) | |
| accuracy | 24.590468107827984 | (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))) | |
| accuracy | 31.880502225427872 | #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) | |
| accuracy | 32.24444272564647 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) | |
| accuracy | 0.375 | (*.f64 #s(literal 4/9 binary64) x) | |
| accuracy | 22.82059959179138 | (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))) | |
| accuracy | 32.24444272564647 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) | |
| accuracy | 32.92518076788444 | #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.2109375 | (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) | |
| accuracy | 0.21368712333376821 | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) | |
| accuracy | 0.28125 | (*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 87.0ms | 133× | 0 | valid |
| 72.0ms | 60× | 2 | valid |
| 53.0ms | 40× | 1 | valid |
| 37.0ms | 23× | 3 | valid |
Compiled 948 to 137 computations (85.5% saved)
ival-mult: 48.0ms (23.5% of total)const: 30.0ms (14.7% of total)ival-cos: 25.0ms (12.2% of total)ival-add: 24.0ms (11.7% of total)adjust: 19.0ms (9.3% of total)ival-sin: 17.0ms (8.3% of total)ival-div: 15.0ms (7.3% of total)ival-pow: 11.0ms (5.4% of total)ival-sub: 7.0ms (3.4% of total)ival-pow2: 7.0ms (3.4% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) |
(/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))) |
#s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) |
(*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))) |
#s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) 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 (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 x) |
(*.f64 #s(literal 4/9 binary64) x) |
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))) |
(cos.f64 (*.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
4/3 |
(+ 4/3 (* 1/6 (pow x 2))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
2/3 |
(+ 2/3 (* -1/18 (pow x 2))) |
(+ 2/3 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18))) |
(* 4/9 x) |
(* x (+ 4/9 (* -1/324 (pow x 4)))) |
(* x (+ 4/9 (* (pow x 4) (- (* -1/1620 (pow x 2)) 1/324)))) |
(* x (+ 4/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/32400 (pow x 2)) 1/1620)) 1/324)))) |
(* -2/3 x) |
(* x (- (* 1/18 (pow x 2)) 2/3)) |
(* x (- (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) 2/3)) |
8/27 |
(+ 8/27 (* 1/5832 (pow x 6))) |
(+ 8/27 (* (pow x 6) (+ 1/5832 (* 1/19440 (pow x 2))))) |
(+ 8/27 (* (pow x 6) (+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2))))))) |
x |
(* 4/3 (pow x 2)) |
(* (pow x 2) (+ 4/3 (* -1/9 (pow x 2)))) |
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 1/270 (pow x 2)) 1/9)))) |
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/270 (* -1/15120 (pow x 2)))) 1/9)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 1/4 (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)))) |
(* 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)))) |
(* 9/4 x) |
(* x (+ 9/4 (* 3/16 (pow x 2)))) |
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* 3/160 (pow x 2)))))) |
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* (pow x 2) (+ 3/160 (* -1/768 (pow x 2)))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin (* 1/2 x)) |
(* -1/180 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))) |
(* 1/180 (pow x 5)) |
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(* -1/32400 (pow x 9)) |
(* -1 (* (pow x 9) (+ 1/32400 (* 1/1620 (/ 1 (pow x 2)))))) |
(* (pow x 9) (- (* -1 (/ (+ 1/1620 (* 1/324 (/ 1 (pow x 2)))) (pow x 2))) 1/32400)) |
(* (pow x 9) (- (* 4/9 (/ 1 (pow x 8))) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))))) |
(* (pow x 5) (- (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (/ 2/3 (pow x 4)))) |
(* 1/5832000 (pow x 12)) |
(* (pow x 12) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6))))))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 8/3 (- 1 (cos x))) |
(- 1 (cos x)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(pow (sin (* 1/2 x)) 2) |
(sin x) |
(/ 32400 (pow x 7)) |
(/ (- 32400 (* 648000 (/ 1 (pow x 2)))) (pow x 7)) |
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (* 648000 (/ 1 (pow x 2)))) (pow x 7)) |
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6))))) (pow x 7)) |
(cos x) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180))) |
(* -1 (* (pow x 9) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 9) (- (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))) (* 4/9 (/ 1 (pow x 8)))))) |
(* -1 (* (pow x 5) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))) |
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) 32400) (pow x 7))) |
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7))) |
(* -1 (/ (- (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6)))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((* (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (sin (* x 1/2))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x))) (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9))) (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (* 1 x) (* (- 1 (cos (* 1 x))) 8/3) (- 1 (cos (* 1 x))) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (sin x) (* 4/9 x) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (cos (* 1 x))) |
| 4.0ms | x | @ | inf | ((* (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (sin (* x 1/2))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x))) (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9))) (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (* 1 x) (* (- 1 (cos (* 1 x))) 8/3) (- 1 (cos (* 1 x))) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (sin x) (* 4/9 x) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (cos (* 1 x))) |
| 2.0ms | x | @ | 0 | ((* (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (sin (* x 1/2))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x))) (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9))) (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (* 1 x) (* (- 1 (cos (* 1 x))) 8/3) (- 1 (cos (* 1 x))) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (sin x) (* 4/9 x) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (cos (* 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 372 | 1122 |
| 1 | 1202 | 1122 |
| 2 | 3553 | 1111 |
| 3 | 7865 | 1111 |
| 0 | 8277 | 1047 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
4/3 |
(+ 4/3 (* 1/6 (pow x 2))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
2/3 |
(+ 2/3 (* -1/18 (pow x 2))) |
(+ 2/3 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18))) |
(* 4/9 x) |
(* x (+ 4/9 (* -1/324 (pow x 4)))) |
(* x (+ 4/9 (* (pow x 4) (- (* -1/1620 (pow x 2)) 1/324)))) |
(* x (+ 4/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/32400 (pow x 2)) 1/1620)) 1/324)))) |
(* -2/3 x) |
(* x (- (* 1/18 (pow x 2)) 2/3)) |
(* x (- (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) 2/3)) |
8/27 |
(+ 8/27 (* 1/5832 (pow x 6))) |
(+ 8/27 (* (pow x 6) (+ 1/5832 (* 1/19440 (pow x 2))))) |
(+ 8/27 (* (pow x 6) (+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2))))))) |
x |
(* 4/3 (pow x 2)) |
(* (pow x 2) (+ 4/3 (* -1/9 (pow x 2)))) |
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 1/270 (pow x 2)) 1/9)))) |
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/270 (* -1/15120 (pow x 2)))) 1/9)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 1/4 (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)))) |
(* 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)))) |
(* 9/4 x) |
(* x (+ 9/4 (* 3/16 (pow x 2)))) |
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* 3/160 (pow x 2)))))) |
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* (pow x 2) (+ 3/160 (* -1/768 (pow x 2)))))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin (* 1/2 x)) |
(* -1/180 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))) |
(* 1/180 (pow x 5)) |
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(* -1/32400 (pow x 9)) |
(* -1 (* (pow x 9) (+ 1/32400 (* 1/1620 (/ 1 (pow x 2)))))) |
(* (pow x 9) (- (* -1 (/ (+ 1/1620 (* 1/324 (/ 1 (pow x 2)))) (pow x 2))) 1/32400)) |
(* (pow x 9) (- (* 4/9 (/ 1 (pow x 8))) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))))) |
(* (pow x 5) (- (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (/ 2/3 (pow x 4)))) |
(* 1/5832000 (pow x 12)) |
(* (pow x 12) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2))))) |
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2)))))) |
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6))))))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 8/3 (- 1 (cos x))) |
(- 1 (cos x)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(pow (sin (* 1/2 x)) 2) |
(sin x) |
(/ 32400 (pow x 7)) |
(/ (- 32400 (* 648000 (/ 1 (pow x 2)))) (pow x 7)) |
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (* 648000 (/ 1 (pow x 2)))) (pow x 7)) |
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6))))) (pow x 7)) |
(cos x) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180))) |
(* -1 (* (pow x 9) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 9) (- (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))) (* 4/9 (/ 1 (pow x 8)))))) |
(* -1 (* (pow x 5) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))) |
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) 32400) (pow x 7))) |
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7))) |
(* -1 (/ (- (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6)))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7))) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #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)) |
2/3 |
#s(literal 2/3 binary64) |
(+ 2/3 (* -1/18 (pow x 2))) |
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(+ 2/3 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) |
(* 4/9 x) |
(*.f64 #s(literal 4/9 binary64) x) |
(* x (+ 4/9 (* -1/324 (pow x 4)))) |
(fma.f64 #s(literal -1/324 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 4/9 binary64) x)) |
(* x (+ 4/9 (* (pow x 4) (- (* -1/1620 (pow x 2)) 1/324)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/1620 binary64) (*.f64 x x)) #s(literal 1/324 binary64)) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 4/9 binary64) x)) |
(* x (+ 4/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/32400 (pow x 2)) 1/1620)) 1/324)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/32400 binary64) (*.f64 x x)) #s(literal 1/1620 binary64)) x) x) #s(literal 1/324 binary64)) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 4/9 binary64) x)) |
(* -2/3 x) |
(*.f64 #s(literal -2/3 binary64) x) |
(* x (- (* 1/18 (pow x 2)) 2/3)) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) x) |
(* x (- (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) 2/3)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/180 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 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)) |
(+ 8/27 (* (pow x 6) (+ 1/5832 (* 1/19440 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/19440 binary64) (*.f64 x x) #s(literal 1/5832 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) |
(+ 8/27 (* (pow x 6) (+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/194400 binary64) (*.f64 x x) #s(literal 1/19440 binary64)) (*.f64 x x) #s(literal 1/5832 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) |
x |
(* 4/3 (pow x 2)) |
(*.f64 #s(literal 4/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 4/3 (* -1/9 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) x) |
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 1/270 (pow x 2)) 1/9)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/270 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) x) |
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/270 (* -1/15120 (pow x 2)))) 1/9)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/15120 binary64) (-.f64 (*.f64 #s(literal 1/270 binary64) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* 2/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) |
(* 1/4 (pow x 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
(* 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) |
(* 9/4 x) |
(*.f64 #s(literal 9/4 binary64) x) |
(* x (+ 9/4 (* 3/16 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 3/16 binary64) (*.f64 x x) #s(literal 9/4 binary64)) x) |
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* 3/160 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3/160 binary64) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 9/4 binary64)) x) |
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* (pow x 2) (+ 3/160 (* -1/768 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/768 binary64) (*.f64 x x) #s(literal 3/160 binary64)) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 9/4 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(* -1/180 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64)) |
(* -1 (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal -1/180 binary64))) |
(* (pow x 4) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) |
(* 1/180 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64)) |
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) |
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1/32400 (pow x 9)) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/32400 binary64)) |
(* -1 (* (pow x 9) (+ 1/32400 (* 1/1620 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/1620 binary64) (*.f64 x x)) #s(literal -1/32400 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- (* -1 (/ (+ 1/1620 (* 1/324 (/ 1 (pow x 2)))) (pow x 2))) 1/32400)) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/324 binary64) (*.f64 x x)) #s(literal -1/1620 binary64)) (*.f64 x x)) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- (* 4/9 (/ 1 (pow x 8))) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/32400 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/324 binary64) (*.f64 x x)) #s(literal 1/1620 binary64)) x) x)) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 5) (- (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (/ 2/3 (pow x 4)))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/5832000 (pow x 12)) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/5832000 binary64)) |
(* (pow x 12) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/194400 binary64) (*.f64 x x)) #s(literal 1/5832000 binary64)) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/19440 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/194400 binary64) (*.f64 x x)) #s(literal 1/5832000 binary64))) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/19440 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/194400 binary64) (*.f64 x x)) #s(literal 1/5832000 binary64))) (/.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 12 binary64))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 8/3 (- 1 (cos x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 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) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(sin x) |
(sin.f64 x) |
(/ 32400 (pow x 7)) |
(/.f64 #s(literal 32400 binary64) (pow.f64 x #s(literal 7 binary64))) |
(/ (- 32400 (* 648000 (/ 1 (pow x 2)))) (pow x 7)) |
(/.f64 (-.f64 #s(literal 32400 binary64) (/.f64 #s(literal 648000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (* 648000 (/ 1 (pow x 2)))) (pow x 7)) |
(/.f64 (-.f64 (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x x)) #s(literal 32400 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6))))) (pow x 7)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x x)) #s(literal 32400 binary64))) (/.f64 #s(literal 246240000 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(cos x) |
(cos.f64 x) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) (*.f64 x x)) #s(literal 1/180 binary64))) |
(* -1 (* (pow x 9) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/324 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/1620 binary64) (*.f64 x x)) #s(literal -1/32400 binary64))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))) (* 4/9 (/ 1 (pow x 8)))))) |
(*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/1620 binary64) (*.f64 x x)) #s(literal 1/32400 binary64))) (/.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 8 binary64))))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 5) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) |
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) 32400) (pow x 7))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x x)) #s(literal 32400 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7))) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x x)) #s(literal 32400 binary64)) (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (pow.f64 x #s(literal 7 binary64)))) |
(* -1 (/ (- (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6)))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7))) |
(/.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 246240000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 32400 binary64)) (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal -648000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 368 |
| 0 | 103 | 355 |
| 1 | 330 | 347 |
| 2 | 1984 | 344 |
| 0 | 8301 | 337 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) |
(/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))) |
#s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) |
(*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))) |
#s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) 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 (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 x) |
(*.f64 #s(literal 4/9 binary64) x) |
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))) |
(cos.f64 (*.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
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(*.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 (neg.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 (neg.f64 (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))) |
(*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (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 #s(literal 2 binary64)) (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(pow.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #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 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.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 (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 (neg.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) (cos.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (+.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) (cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 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 (*.f64 #s(literal 2 binary64) (*.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)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) (PI.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)))))) |
(fabs.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(sin.f64 x) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/9 binary64) x)) |
(*.f64 (*.f64 #s(literal 4/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 4/9 binary64) x) |
(*.f64 x #s(literal 4/9 binary64)) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) #s(literal 16/81 binary64))) (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x)) #s(literal 4/9 binary64))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) #s(literal 64/729 binary64))) (+.f64 (-.f64 #s(literal 16/81 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)))) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)))) |
(*.f64 x (pow.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))))) |
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)))) |
(/.f64 x (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)))) |
(neg.f64 (/.f64 x (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))))) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (cos.f64 x))))) |
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (cos.f64 x)) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (cos.f64 x)) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x)))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x)) |
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
Compiled 20 207 to 2 257 computations (88.8% saved)
23 alts after pruning (17 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 459 | 13 | 472 |
| Fresh | 14 | 4 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 4 | 6 |
| Total | 478 | 23 | 501 |
| Status | Accuracy | Program |
|---|---|---|
| 76.7% | (/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sin.f64 x))) | |
| 47.8% | (/.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| ✓ | 77.1% | (/.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)) |
| 53.7% | (/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) | |
| 53.8% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| 28.0% | (/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) | |
| ✓ | 77.0% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| 53.8% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))) #s(literal -4/3 binary64)) | |
| 70.0% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) | |
| 53.7% | (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| ✓ | 99.3% | (*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 27.9% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 99.4% | #s(approx (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) | |
| 48.6% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) | |
| 50.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (fma.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 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) #s(literal 2/3 binary64)))) | |
| ✓ | 49.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
| ✓ | 49.4% | #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)) |
| 48.7% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 x (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x))) (-.f64 #s(literal 4/9 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x) #s(literal 2 binary64))))) | |
| 49.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) #s(approx (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (*.f64 #s(literal -2/3 binary64) x)) #s(literal 4/9 binary64))))) | |
| 49.2% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/768 binary64) (*.f64 x x) #s(literal 3/160 binary64)) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 9/4 binary64)) x)))) | |
| 49.7% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 #s(literal 9/4 binary64) x)))) | |
| ✓ | 49.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 2 344 to 800 computations (65.9% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 #s(literal 9/4 binary64) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/768 binary64) (*.f64 x x) #s(literal 3/160 binary64)) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 9/4 binary64)) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) #s(approx (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (*.f64 #s(literal -2/3 binary64) x)) #s(literal 4/9 binary64))))) |
#s(approx (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (* (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 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 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/324 binary64) #s(literal 4/9 binary64)) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 #s(literal 2/3 binary64) x) x)) (*.f64 x x)) #s(literal 1/180 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 x (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x))) (-.f64 #s(literal 4/9 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))) #s(literal -4/3 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 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) (/.f64 #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 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 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 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/180 binary64)) #s(literal 2/3 binary64)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (acos.f64 (cos.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 (+.f64 (cosh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sinh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
2 calls:
| 16.0ms | x |
| 15.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 #s(literal 9/4 binary64) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/768 binary64) (*.f64 x x) #s(literal 3/160 binary64)) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 9/4 binary64)) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) #s(approx (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (*.f64 #s(literal -2/3 binary64) x)) #s(literal 4/9 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))) |
2 calls:
| 3.0ms | (/.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)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 1 | x |
| 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)) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 #s(literal 9/4 binary64) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) #s(literal 2/3 binary64)))) |
2 calls:
| 5.0ms | (/.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)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 1 | x |
| 49.8% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 17 to 12 computations (29.4% saved)
Total -0.4b remaining (-1.2%)
Threshold costs -0.4b (-1.2%)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 #s(literal 9/4 binary64) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #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)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 1 | x |
| 49.8% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 145 |
| 1 | 104 | 145 |
| 2 | 277 | 142 |
| 3 | 974 | 142 |
| 4 | 3078 | 142 |
| 5 | 5921 | 142 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) #s(literal 2/3 binary64)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) #s(literal 2/3 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 | 300 | 993 |
| 1 | 995 | 987 |
| 2 | 3056 | 982 |
| 3 | 7418 | 982 |
| 0 | 8057 | 927 |
| 0 | 90 | 225 |
| 1 | 292 | 225 |
| 2 | 833 | 219 |
| 3 | 3515 | 219 |
| 0 | 8076 | 201 |
| 0 | 39 | 182 |
| 0 | 61 | 173 |
| 1 | 150 | 173 |
| 2 | 582 | 173 |
| 3 | 5387 | 173 |
| 0 | 8106 | 173 |
| 0 | 372 | 1122 |
| 1 | 1202 | 1122 |
| 2 | 3553 | 1111 |
| 3 | 7865 | 1111 |
| 0 | 8277 | 1047 |
| 0 | 11 | 34 |
| 0 | 19 | 34 |
| 1 | 29 | 28 |
| 2 | 81 | 28 |
| 0 | 360 | 28 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 396 to 186 computations (53% saved)
(negabs x)
Compiled 410 to 192 computations (53.2% saved)
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