
Time bar (total: 6.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 49.6% | 49.6% | 50.4% | 0% | 0% | 0% | 0% | 9 |
| 49.8% | 49.8% | 50.2% | 0% | 0% | 0% | 0% | 10 |
| 49.9% | 49.9% | 50.1% | 0% | 0% | 0% | 0% | 11 |
| 50% | 49.9% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 18 to 13 computations (27.8% saved)
| 1.5s | 8 256× | 0 | valid |
ival-sin: 587.0ms (59.8% of total)ival-div: 198.0ms (20.2% of total)ival-mult: 177.0ms (18% of total)exact: 10.0ms (1% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 72 | 0 | - | 7 | (2.6337204852458974e-159) | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 0 | 127 | (-1.4400783845601324e+113) | 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 | 127 | 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 | 65 | 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 | 65 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 65 | 7 |
| - | 127 | 57 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 65 | 0 | 7 |
| - | 127 | 0 | 57 |
| number | freq |
|---|---|
| 0 | 64 |
| 1 | 192 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 71.0ms | 512× | 0 | valid |
Compiled 126 to 37 computations (70.6% saved)
ival-sin: 27.0ms (52.1% of total)ival-div: 14.0ms (27% of total)ival-mult: 9.0ms (17.4% of total)exact: 1.0ms (1.9% 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 |
|---|---|---|
| ▶ | 74.6% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 16 to 11 computations (31.3% saved)
| 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 | 0.23828125 | (*.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 | 0.3671875 | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 16.025079564594204 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 30.0ms | 256× | 0 | valid |
Compiled 55 to 13 computations (76.4% saved)
ival-sin: 13.0ms (59.5% of total)ival-div: 4.0ms (18.3% of total)ival-mult: 4.0ms (18.3% 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)) |
| 2.0ms | x | @ | inf | ((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x)) |
| 1.0ms | x | @ | 0 | ((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x)) |
| 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 |
|---|---|---|
| 52.5% | (/.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)) | |
| 74.6% | (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| 74.6% | (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| ▶ | 26.5% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 26.3% | (/.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)) | |
| ▶ | 27.1% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
| ▶ | 74.7% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| 74.7% | (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| ▶ | 99.2% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| 50.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) | |
| ▶ | 51.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 402 to 310 computations (22.9% 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 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #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 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 #s(literal 2/3 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| cost-diff | 3 | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 233 |
| 0 | 57 | 227 |
| 1 | 98 | 221 |
| 2 | 165 | 221 |
| 3 | 343 | 221 |
| 4 | 674 | 221 |
| 5 | 1055 | 221 |
| 6 | 1619 | 221 |
| 7 | 2725 | 221 |
| 8 | 5599 | 221 |
| 0 | 8733 | 221 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(literal 2/3 binary64) |
x |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 2/3 binary64) |
(sin.f64 x) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) |
#s(literal -1/18 binary64) |
(*.f64 x x) |
x |
#s(literal 4/3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 x) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(literal 2/3 binary64) |
x |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 2/3 binary64) |
(sin.f64 x) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #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 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) |
#s(literal -1/18 binary64) |
(*.f64 x x) |
x |
#s(literal 4/3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sin.f64 x) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(sin.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.256855029305326 | (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) | |
| accuracy | 0.3984375 | (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) | |
| accuracy | 16.02417133139199 | (*.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 | 0.21484375 | (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) | |
| accuracy | 0.23828125 | (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 16.025079564594204 | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| accuracy | 31.126661963614833 | #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.22265625 | (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) | |
| accuracy | 16.025079564594204 | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) | |
| accuracy | 30.776736332086227 | #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) | |
| accuracy | 0.328125 | (*.f64 #s(literal 2/3 binary64) x) | |
| accuracy | 31.10422100913702 | #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 | 0.3359375 | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| accuracy | 0.36328125 | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 0.3984375 | (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
| 256.0ms | 256× | 0 | valid |
Compiled 206 to 31 computations (85% saved)
ival-mult: 38.0ms (42.4% of total)const: 22.0ms (24.5% of total)ival-sin: 20.0ms (22.3% of total)ival-div: 5.0ms (5.6% of total)ival-pow2: 3.0ms (3.3% of total)ival-add: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 x x) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(sin.f64 x) |
| Outputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
4/3 |
(+ 4/3 (* 1/6 (pow x 2))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(pow x 2) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(/ 8/3 x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(sin (* 1/2 x)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (sin (* 1/2 x))) |
(* -1/18 (pow x 3)) |
(* (pow x 3) (- (* 4/3 (/ 1 (pow x 2))) 1/18)) |
(pow (sin (* 1/2 x)) 2) |
(/ 8/3 (sin x)) |
(sin x) |
(* -1 (* (pow x 3) (- 1/18 (* 4/3 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (* (+ (* -1/18 (* x x)) 4/3) x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x)) (sin x)) |
| 4.0ms | x | @ | inf | ((* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (* (+ (* -1/18 (* x x)) 4/3) x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x)) (sin x)) |
| 3.0ms | x | @ | -inf | ((* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (* (+ (* -1/18 (* x x)) 4/3) x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x)) (sin x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 471 |
| 1 | 570 | 465 |
| 2 | 1686 | 465 |
| 3 | 4582 | 464 |
| 0 | 8337 | 426 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
4/3 |
(+ 4/3 (* 1/6 (pow x 2))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(pow x 2) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(/ 8/3 x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(sin (* 1/2 x)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (sin (* 1/2 x))) |
(* -1/18 (pow x 3)) |
(* (pow x 3) (- (* 4/3 (/ 1 (pow x 2))) 1/18)) |
(pow (sin (* 1/2 x)) 2) |
(/ 8/3 (sin x)) |
(sin x) |
(* -1 (* (pow x 3) (- 1/18 (* 4/3 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
4/3 |
#s(literal 4/3 binary64) |
(+ 4/3 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64)) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
(fma.f64 (*.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)) x) x #s(literal 4/3 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x)) |
(* 2/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* 4/3 x) |
(*.f64 #s(literal 4/3 binary64) x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 #s(literal 4/3 binary64) x)) |
(* 1/4 (pow x 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
(/ 8/3 x) |
(/.f64 #s(literal 8/3 binary64) x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (*.f64 x x) #s(literal 7/135 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) |
(* 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 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(* -1/18 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64)) |
(* (pow x 3) (- (* 4/3 (/ 1 (pow x 2))) 1/18)) |
(*.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow (sin (* 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(sin x) |
(sin.f64 x) |
(* -1 (* (pow x 3) (- 1/18 (* 4/3 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 185 |
| 0 | 57 | 167 |
| 1 | 129 | 167 |
| 2 | 412 | 167 |
| 3 | 2663 | 104 |
| 0 | 9163 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 x x) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(sin.f64 x) |
| Outputs |
|---|
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64)) |
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 0 binary64)) |
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (+.f64 (pow.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) #s(literal 3 binary64)))) (*.f64 (sin.f64 x) (+.f64 (pow.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sinh.f64 (log.f64 #s(literal 0 binary64)))))))) |
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(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 #s(literal 1 binary64) (sin.f64 x))) |
(-.f64 (*.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 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(+.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) |
(+.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (PI.f64) x)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 0 binary64))) |
Compiled 11 529 to 1 411 computations (87.8% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 409 | 7 | 416 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 411 | 17 | 428 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.5% | (/.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)) |
| 74.6% | (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| 74.6% | (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 25.7% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 16/9 binary64)) x) (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 17.2% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) #s(approx (* (+ (* -1/18 (* x x)) 4/3) x) (*.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 19.6% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) #s(literal 2/3 binary64))) (sin.f64 x)) | |
| ✓ | 27.1% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
| ✓ | 74.7% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| ▶ | 26.6% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
| ▶ | 74.7% | (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
| ▶ | 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| ✓ | 99.2% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| 51.2% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 55.2% | (*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 50.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) | |
| ✓ | 51.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| ▶ | 3.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (neg.f64 (*.f64 #s(literal 2/3 binary64) x))) |
Compiled 597 to 458 computations (23.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (cos.f64 #s(literal 0 binary64)) | |
| cost-diff | 2 | (*.f64 #s(literal 1 binary64) x) | |
| cost-diff | 2 | (/.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)) | |
| cost-diff | 3 | (/.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)) | |
| cost-diff | 0 | (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| cost-diff | 0 | (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(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) | |
| cost-diff | 2 | (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 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)) (neg.f64 (*.f64 #s(literal 2/3 binary64) x))) | |
| cost-diff | 1 | (neg.f64 (*.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 | 42 | 231 |
| 0 | 66 | 202 |
| 1 | 127 | 202 |
| 2 | 250 | 196 |
| 3 | 611 | 196 |
| 4 | 1917 | 196 |
| 5 | 4867 | 196 |
| 6 | 7477 | 196 |
| 0 | 8158 | 193 |
| 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)) (neg.f64 (*.f64 #s(literal 2/3 binary64) x))) |
(neg.f64 (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(literal 2/3 binary64) |
x |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) 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) |
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) |
#s(literal 4/9 binary64) |
(*.f64 x x) |
#s(literal 8/3 binary64) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(literal 2 binary64) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
(/.f64 (/.f64 (*.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 (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 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) |
(-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) |
(cos.f64 #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(cos.f64 (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 8/3 binary64) |
#s(literal 2 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)) (neg.f64 (*.f64 #s(literal 2/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal -2/3 binary64) x)) |
(neg.f64 (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal -2/3 binary64) x) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(literal 2/3 binary64) |
x |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
(*.f64 #s(approx (/ 8/3 (sin x)) (fma.f64 #s(literal 4/9 binary64) x (/.f64 #s(literal 8/3 binary64) 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) |
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)) |
#s(approx (/ 8/3 (sin x)) (fma.f64 #s(literal 4/9 binary64) x (/.f64 #s(literal 8/3 binary64) x))) |
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(fma.f64 #s(literal 4/9 binary64) x (/.f64 #s(literal 8/3 binary64) x)) |
(fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) |
(fma.f64 (*.f64 #s(literal 4/9 binary64) x) x #s(literal 8/3 binary64)) |
#s(literal 4/9 binary64) |
(*.f64 x x) |
#s(literal 8/3 binary64) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 2 binary64) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
(/.f64 (/.f64 (*.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 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 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 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (-.f64 (cos.f64 #s(literal 0 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 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 #s(literal 0 binary64)) |
#s(literal 1 binary64) |
#s(literal 0 binary64) |
(cos.f64 (*.f64 #s(literal 1 binary64) x)) |
(cos.f64 x) |
(*.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
x |
#s(literal 8/3 binary64) |
#s(literal 2 binary64) |
(sin.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.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)) | |
| accuracy | 0.28515625 | (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) | |
| accuracy | 13.958831307565546 | (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) | |
| accuracy | 16.025079564594204 | (/.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)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.256855029305326 | (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) | |
| accuracy | 0.36328125 | (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| accuracy | 16.004160319014893 | (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) | |
| accuracy | 0.256855029305326 | (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) | |
| accuracy | 13.699978848561086 | (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x) | |
| accuracy | 16.02417133139199 | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) | |
| accuracy | 31.008358946107688 | #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)) | |
| accuracy | 0.0 | (neg.f64 (*.f64 #s(literal 2/3 binary64) x)) | |
| accuracy | 0.328125 | (*.f64 #s(literal 2/3 binary64) x) | |
| accuracy | 61.73727884712617 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (neg.f64 (*.f64 #s(literal 2/3 binary64) x))) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.19140625 | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) | |
| accuracy | 0.2265625 | (*.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 | 0.3671875 | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
| 143.0ms | 35× | 1 | valid |
| 89.0ms | 73× | 2 | valid |
| 59.0ms | 130× | 0 | valid |
| 20.0ms | 18× | 3 | valid |
Compiled 214 to 42 computations (80.4% saved)
ival-div: 119.0ms (42.7% of total)ival-cos: 58.0ms (20.8% of total)const: 28.0ms (10.1% of total)ival-mult: 27.0ms (9.7% of total)ival-sin: 18.0ms (6.5% of total)adjust: 17.0ms (6.1% of total)ival-pow2: 4.0ms (1.4% of total)ival-sub: 3.0ms (1.1% of total)ival-add: 2.0ms (0.7% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(neg.f64 (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (neg.f64 (*.f64 #s(literal 2/3 binary64) x))) |
(*.f64 #s(literal 2/3 binary64) x) |
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(/.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 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) x) |
(cos.f64 #s(literal 0 binary64)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(sin.f64 x) |
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)) |
(-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 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)))))))) |
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 x) |
(/ 8/3 x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
x |
(* 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 (+ 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 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) |
(* 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)))) |
(* 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)))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin (* 1/2 x)) |
(* 4/9 x) |
(* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))) |
(pow (sin (* 1/2 x)) 2) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (- 1 (cos x))) |
(* 8/3 (sin (* 1/2 x))) |
(sin x) |
(/ 8/3 (sin x)) |
(- 1 (cos x)) |
(* 8/3 (- 1 (cos x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | 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) (neg (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (+ (* 4/9 (* x x)) 8/3) x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (* 1 x) (cos 0) (* (sin (* 1/2 x)) 8/3) (sin x) (/ 8/3 (sin x)) (- (cos 0) (cos (* 1 x))) (* (- (cos 0) (cos (* 1 x))) 8/3)) |
| 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) (neg (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (+ (* 4/9 (* x x)) 8/3) x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (* 1 x) (cos 0) (* (sin (* 1/2 x)) 8/3) (sin x) (/ 8/3 (sin x)) (- (cos 0) (cos (* 1 x))) (* (- (cos 0) (cos (* 1 x))) 8/3)) |
| 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) (neg (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (+ (* 4/9 (* x x)) 8/3) x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (* 1 x) (cos 0) (* (sin (* 1/2 x)) 8/3) (sin x) (/ 8/3 (sin x)) (- (cos 0) (cos (* 1 x))) (* (- (cos 0) (cos (* 1 x))) 8/3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 636 |
| 1 | 796 | 636 |
| 2 | 2330 | 630 |
| 3 | 5841 | 630 |
| 0 | 8015 | 578 |
| 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 x) |
(/ 8/3 x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
x |
(* 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 (+ 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 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) |
(* 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)))) |
(* 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)))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin (* 1/2 x)) |
(* 4/9 x) |
(* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))) |
(pow (sin (* 1/2 x)) 2) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (- 1 (cos x))) |
(* 8/3 (sin (* 1/2 x))) |
(sin x) |
(/ 8/3 (sin x)) |
(- 1 (cos x)) |
(* 8/3 (- 1 (cos x))) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/16 (pow x 2))) |
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(fma.f64 (*.f64 (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 x) |
(*.f64 #s(literal -2/3 binary64) x) |
(/ 8/3 x) |
(/.f64 #s(literal 8/3 binary64) x) |
(/ (+ 8/3 (* 4/9 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(* 1/4 (pow x 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) |
(* 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)) |
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 (+ 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 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) |
(* 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)) |
(* 4/3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 4/3 binary64) 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)) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/ (sin (* 1/2 x)) (sin 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)) |
(* 4/9 x) |
(*.f64 #s(literal 4/9 binary64) x) |
(* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 8/3 binary64) x) x) #s(literal 4/9 binary64)) x) |
(pow (sin (* 1/2 x)) 2) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(/ (pow (sin (* 1/2 x)) 2) (sin x)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (- 1 (cos x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 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) |
(/ 8/3 (sin x)) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(* 8/3 (- 1 (cos x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 175 |
| 0 | 66 | 148 |
| 1 | 190 | 148 |
| 0 | 822 | 148 |
| 1× | iter limit |
| 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) |
(neg.f64 (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (neg.f64 (*.f64 #s(literal 2/3 binary64) x))) |
(*.f64 #s(literal 2/3 binary64) x) |
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(/.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 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) x) |
(cos.f64 #s(literal 0 binary64)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(sin.f64 x) |
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)) |
(-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(neg.f64 (/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))) |
(neg.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal -2/3 binary64) x) |
(*.f64 (neg.f64 x) #s(literal 2/3 binary64)) |
(*.f64 (*.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 2/3 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -2/3 binary64)) |
(neg.f64 (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal -2/3 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x #s(literal 2/3 binary64)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x)) (*.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 8/3 binary64) x))) (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) (/.f64 #s(literal 8/3 binary64) x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 8/3 binary64) x)) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) (/.f64 #s(literal 8/3 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x (*.f64 x #s(literal 8/3 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 2 binary64)) #s(literal 64/9 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 64/729 binary64) #s(literal 512/27 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 2 binary64)) #s(literal 64/9 binary64)) (*.f64 (*.f64 x x) #s(literal 32/27 binary64))) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64))) (neg.f64 x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) x) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64))) x)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) (neg.f64 x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) x) #s(literal 1 binary64)) (/.f64 x x) (/.f64 #s(literal 8/3 binary64) x)) |
(fma.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) x) x) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 8/3 binary64) x)) |
(fma.f64 (/.f64 (*.f64 x x) x) #s(literal 4/9 binary64) (/.f64 #s(literal 8/3 binary64) x)) |
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 4/9 binary64) x) (/.f64 #s(literal 8/3 binary64) x)) |
(fma.f64 (/.f64 #s(literal 4/9 binary64) x) (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 8/3 binary64) x)) |
(fma.f64 (*.f64 #s(literal 4/9 binary64) x) (/.f64 x x) (/.f64 #s(literal 8/3 binary64) x)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 4/9 binary64) x) (/.f64 #s(literal 8/3 binary64) x)) |
(fma.f64 #s(literal 4/9 binary64) (/.f64 (*.f64 x x) x) (/.f64 #s(literal 8/3 binary64) x)) |
(+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) (/.f64 #s(literal 8/3 binary64) x)) |
(*.f64 (*.f64 #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) 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)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) x)))) |
(*.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 8/3 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x)))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 #s(literal -2 binary64) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))) |
(*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 4/3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64))) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 #s(literal 0 binary64) x) |
(+.f64 x #s(literal 0 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
(sin.f64 x) |
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) x)) |
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 #s(literal -16/3 binary64) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 8/3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 8/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 8/3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (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))) |
Compiled 5 284 to 910 computations (82.8% saved)
23 alts after pruning (17 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 248 | 13 | 261 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 255 | 23 | 278 |
| Status | Accuracy | Program |
|---|---|---|
| 74.4% | (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x)) | |
| 52.4% | (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 x)) | |
| ▶ | 74.4% | (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
| 52.5% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| 25.7% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 16/9 binary64)) x) (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 17.2% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) #s(approx (* (+ (* -1/18 (* x x)) 4/3) x) (*.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 19.6% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) #s(literal 2/3 binary64))) (sin.f64 x)) | |
| ✓ | 27.1% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
| ✓ | 74.7% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| 25.7% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 2 binary64)) #s(literal 64/9 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x)))) | |
| ✓ | 74.7% | (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
| 67.2% | (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| ✓ | 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| ▶ | 52.4% | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
| ▶ | 99.2% | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | 99.2% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| 99.2% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) | |
| 26.1% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) | |
| 52.4% | (*.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) | |
| ▶ | 99.4% | #s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
| 50.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) | |
| ▶ | 3.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal -2/3 binary64))) |
| ✓ | 51.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 790 to 577 computations (27% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sin.f64 x) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) | |
| cost-diff | 3 | (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) | |
| cost-diff | 6 | (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| cost-diff | 3 | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) | |
| cost-diff | 0 | (*.f64 x #s(literal -2/3 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal -2/3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) | |
| cost-diff | 0 | #s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 176 |
| 0 | 66 | 159 |
| 1 | 121 | 159 |
| 2 | 228 | 153 |
| 3 | 551 | 150 |
| 4 | 1460 | 150 |
| 5 | 5932 | 150 |
| 0 | 8228 | 150 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#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 x #s(literal -2/3 binary64))) |
(*.f64 x #s(literal -2/3 binary64)) |
x |
#s(literal -2/3 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 #s(literal 4/3 binary64) (sin.f64 x)) |
#s(literal 4/3 binary64) |
(sin.f64 x) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(sin.f64 x) |
x |
#s(literal 4/3 binary64) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (/ (* (- (cos 0) (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 (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#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 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)) |
(*.f64 x #s(literal -2/3 binary64)) |
(*.f64 #s(literal -2/3 binary64) x) |
x |
#s(literal -2/3 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(/.f64 #s(literal 4/3 binary64) (sin.f64 x)) |
#s(literal 4/3 binary64) |
(sin.f64 x) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (/.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(sin.f64 x) |
x |
#s(literal 4/3 binary64) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2662887695368841 | (*.f64 (sin.f64 x) (sin.f64 x)) | |
| accuracy | 0.30078125 | (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) | |
| accuracy | 0.3040526664016394 | (+.f64 (cos.f64 x) #s(literal 1 binary64)) | |
| accuracy | 16.025079564594204 | (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.171875 | (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| accuracy | 0.19140625 | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) | |
| accuracy | 0.36328125 | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.3984375 | (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) | |
| accuracy | 13.958831307565546 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | |
| accuracy | 16.013920706835528 | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) | |
| accuracy | 0.328125 | (*.f64 x #s(literal -2/3 binary64)) | |
| accuracy | 61.73727884712617 | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal -2/3 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0.0 | (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.0 | #s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) | |
| accuracy | 0.36328125 | (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
| 274.0ms | 73× | 2 | valid |
| 109.0ms | 129× | 0 | valid |
| 22.0ms | 18× | 3 | valid |
| 17.0ms | 36× | 1 | valid |
Compiled 169 to 42 computations (75.1% saved)
ival-cos: 221.0ms (55.9% of total)ival-sub: 62.0ms (15.7% of total)ival-div: 47.0ms (11.9% of total)ival-mult: 21.0ms (5.3% of total)adjust: 13.0ms (3.3% of total)const: 11.0ms (2.8% of total)ival-sin: 11.0ms (2.8% of total)ival-tan: 5.0ms (1.3% of total)ival-add: 2.0ms (0.5% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(tan.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 x #s(literal -2/3 binary64))) |
(*.f64 x #s(literal -2/3 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 #s(literal 4/3 binary64) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(sin.f64 x) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
| Outputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* -2/3 x) |
(* 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)))) |
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))) |
(/ 4/3 x) |
(/ (+ 4/3 (* 2/9 (pow x 2))) x) |
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x) |
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x) |
4/3 |
(+ 4/3 (* 1/6 (pow x 2))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 4/3 (pow x 2)) |
(* (pow x 2) (+ 4/3 (* -4/9 (pow x 2)))) |
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 8/135 (pow x 2)) 4/9)))) |
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 8/135 (* -4/945 (pow x 2)))) 4/9)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
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 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(- 1 (cos x)) |
(cos x) |
(/ 4/3 (sin x)) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin (* 1/2 x)) |
(* 4/3 (/ (pow (sin x) 2) (+ 1 (cos x)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(* 4/3 (pow (sin x) 2)) |
(pow (sin x) 2) |
(sin x) |
(+ 1 (cos x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | inf | ((/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* x -2/3) (* (- 1 (cos x)) (/ 4/3 (sin x))) (- 1 (cos x)) (cos x) (/ 4/3 (sin x)) (* (* (/ (sin (* x 1/2)) (sin x)) 8/3) (sin (* x 1/2))) (* (/ (sin (* x 1/2)) (sin x)) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (sin x) (sin x)) 4/3) (+ (cos x) 1)) (/ (/ (* (* (sin x) (sin x)) 4/3) (+ (cos x) 1)) (sin x)) (* (* (sin x) (sin x)) 4/3) (* (sin x) (sin x)) (sin x) (+ (cos x) 1)) |
| 6.0ms | x | @ | -inf | ((/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* x -2/3) (* (- 1 (cos x)) (/ 4/3 (sin x))) (- 1 (cos x)) (cos x) (/ 4/3 (sin x)) (* (* (/ (sin (* x 1/2)) (sin x)) 8/3) (sin (* x 1/2))) (* (/ (sin (* x 1/2)) (sin x)) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (sin x) (sin x)) 4/3) (+ (cos x) 1)) (/ (/ (* (* (sin x) (sin x)) 4/3) (+ (cos x) 1)) (sin x)) (* (* (sin x) (sin x)) 4/3) (* (sin x) (sin x)) (sin x) (+ (cos x) 1)) |
| 2.0ms | x | @ | 0 | ((/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* x -2/3) (* (- 1 (cos x)) (/ 4/3 (sin x))) (- 1 (cos x)) (cos x) (/ 4/3 (sin x)) (* (* (/ (sin (* x 1/2)) (sin x)) 8/3) (sin (* x 1/2))) (* (/ (sin (* x 1/2)) (sin x)) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (sin x) (sin x)) 4/3) (+ (cos x) 1)) (/ (/ (* (* (sin x) (sin x)) 4/3) (+ (cos x) 1)) (sin x)) (* (* (sin x) (sin x)) 4/3) (* (sin x) (sin x)) (sin x) (+ (cos x) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 720 |
| 1 | 843 | 718 |
| 2 | 2516 | 706 |
| 3 | 6232 | 706 |
| 0 | 8188 | 644 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* -2/3 x) |
(* 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)))) |
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))) |
(/ 4/3 x) |
(/ (+ 4/3 (* 2/9 (pow x 2))) x) |
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x) |
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x) |
4/3 |
(+ 4/3 (* 1/6 (pow x 2))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 4/3 (pow x 2)) |
(* (pow x 2) (+ 4/3 (* -4/9 (pow x 2)))) |
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 8/135 (pow x 2)) 4/9)))) |
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 8/135 (* -4/945 (pow x 2)))) 4/9)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
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 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(- 1 (cos x)) |
(cos x) |
(/ 4/3 (sin x)) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(sin (* 1/2 x)) |
(* 4/3 (/ (pow (sin x) 2) (+ 1 (cos x)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(* 4/3 (pow (sin x) 2)) |
(pow (sin x) 2) |
(sin x) |
(+ 1 (cos x)) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* -2/3 x) |
(*.f64 #s(literal -2/3 binary64) 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)) |
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)) |
(/ 4/3 x) |
(/.f64 #s(literal 4/3 binary64) x) |
(/ (+ 4/3 (* 2/9 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal 2/9 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 7/270 binary64) (*.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/11340 binary64) (*.f64 x x) #s(literal 7/270 binary64)) (*.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) |
4/3 |
#s(literal 4/3 binary64) |
(+ 4/3 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64)) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (*.f64 x x) #s(literal 5/288 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/16 (pow x 2))) |
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x)) |
(* 2/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) |
(* 4/3 (pow x 2)) |
(*.f64 #s(literal 4/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 4/3 (* -4/9 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/9 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) x) |
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 8/135 (pow x 2)) 4/9)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 8/135 binary64) (*.f64 x x)) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) x) |
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 8/135 (* -4/945 (pow x 2)))) 4/9)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/945 binary64) (-.f64 (*.f64 #s(literal 8/135 binary64) (*.f64 x x)) #s(literal 4/9 binary64))) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/315 binary64) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 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) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (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 2 binary64)) |
(+ 2 (* (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 2 binary64)) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal 4/3 binary64)) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(/ 4/3 (sin x)) |
(/.f64 #s(literal 4/3 binary64) (sin.f64 x)) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(* 4/3 (/ (pow (sin x) 2) (+ 1 (cos x)))) |
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (pow (sin x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 4/3 binary64)) |
(pow (sin x) 2) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin x) |
(sin.f64 x) |
(+ 1 (cos x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 153 |
| 0 | 66 | 139 |
| 1 | 198 | 128 |
| 0 | 912 | 128 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(tan.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 x #s(literal -2/3 binary64))) |
(*.f64 x #s(literal -2/3 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 #s(literal 4/3 binary64) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(sin.f64 x) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (PI.f64))))) |
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(tan.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64))) |
(tan.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 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 (*.f64 #s(literal -2/3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -2/3 binary64) x) |
(*.f64 x #s(literal -2/3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal -2 binary64)) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 8/3 binary64) (*.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(*.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (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 (*.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -4/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 #s(literal -2 binary64) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 4/3 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (neg.f64 (neg.f64 (sin.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)) #s(literal 8/3 binary64)) (*.f64 (sin.f64 x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (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 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (cos.f64 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 x)) |
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(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
Compiled 5 521 to 1 028 computations (81.4% saved)
25 alts after pruning (16 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 278 | 8 | 286 |
| Fresh | 4 | 8 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 5 | 6 |
| Total | 284 | 25 | 309 |
| Status | Accuracy | Program |
|---|---|---|
| 52.2% | (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) | |
| 74.5% | (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 4/3 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) | |
| 52.4% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x))) | |
| 52.5% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| 25.7% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 16/9 binary64)) x) (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 17.2% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) #s(approx (* (+ (* -1/18 (* x x)) 4/3) x) (*.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 74.7% | (/.f64 #s(approx (/ (* (* (sin x) (sin x)) 4/3) (+ (cos x) 1)) (*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 x)) | |
| 19.6% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) #s(literal 2/3 binary64))) (sin.f64 x)) | |
| ✓ | 27.1% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
| ✓ | 74.7% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| 25.7% | (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 2 binary64)) #s(literal 64/9 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x)))) | |
| 67.2% | (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| ✓ | 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| ✓ | 52.4% | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
| ✓ | 99.2% | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | 99.2% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| 99.0% | (*.f64 (sin.f64 x) (/.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) | |
| 26.1% | (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) | |
| 52.4% | (*.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) | |
| 99.3% | #s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) | |
| 50.8% | #s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) | |
| 99.3% | #s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))) | |
| ✓ | 99.4% | #s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) |
| ✓ | 3.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal -2/3 binary64))) |
| ✓ | 51.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 1 290 to 587 computations (54.5% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal -2/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (neg.f64 (*.f64 #s(literal 2/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
#s(approx (/ (/ (* (- (cos 0) (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 (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(*.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) |
#s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))) |
#s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) #s(literal 2/3 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.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 #s(approx (/ (* (* (sin x) (sin x)) 4/3) (+ (cos x) 1)) (*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) #s(approx (* (+ (* -1/18 (* x x)) 4/3) x) (*.f64 (-.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 2 binary64)) #s(literal 64/9 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x)))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 16/9 binary64)) x) (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 4/3 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) #s(literal 4/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| Outputs |
|---|
#s(approx (/ (/ (* (- (cos 0) (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:
| 11.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 99.4% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
Total -31.2b remaining (-99.7%)
Threshold costs -31.2b (-99.7%)
| 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 x #s(literal -2/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (neg.f64 (*.f64 #s(literal 2/3 binary64) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (/ (* (- (cos 0) (cos (* 1 x))) 8/3) 2) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 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 | x |
| 2.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.1% | 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)) |
| 51.1% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 36 |
| 1 | 59 | 36 |
| 2 | 109 | 33 |
| 3 | 215 | 33 |
| 4 | 394 | 33 |
| 5 | 799 | 33 |
| 6 | 2374 | 33 |
| 7 | 4217 | 33 |
| 8 | 7086 | 33 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (/ (* (- (cos 0) (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(literal 2/3 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (/ (* (- (cos 0) (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(literal 2/3 binary64) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 636 |
| 1 | 796 | 636 |
| 2 | 2330 | 630 |
| 3 | 5841 | 630 |
| 0 | 8015 | 578 |
| 0 | 90 | 225 |
| 1 | 292 | 225 |
| 2 | 833 | 219 |
| 3 | 3515 | 219 |
| 0 | 8076 | 201 |
| 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 |
Compiled 66 to 51 computations (22.7% saved)
(negabs x)
Compiled 188 to 144 computations (23.4% saved)
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