
Time bar (total: 2.8s)
| 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)
| 882.0ms | 8 256× | 0 | valid |
ival-sin: 344.0ms (54.4% of total)ival-mult: 150.0ms (23.7% of total)ival-div: 119.0ms (18.8% of total)exact: 13.0ms (2.1% of total)ival-assert: 3.0ms (0.5% of total)adjust: 2.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 68 | 0 | - | 3 | (1.905263735906201e-160) | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 0 | 122 | (4.6474210687560165e+193) | 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 | 122 | 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 | 3 |
| - | 122 | 66 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 65 | 0 | 3 |
| - | 122 | 0 | 66 |
| number | freq |
|---|---|
| 0 | 69 |
| 1 | 187 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 510× | 0 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 126 to 37 computations (70.6% saved)
ival-sin: 24.0ms (57.1% of total)ival-mult: 9.0ms (21.4% of total)ival-div: 7.0ms (16.7% of total)exact: 1.0ms (2.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 45 |
| 1 | 44 | 43 |
| 2 | 132 | 42 |
| 3 | 437 | 42 |
| 4 | 987 | 42 |
| 5 | 2062 | 42 |
| 6 | 4120 | 42 |
| 0 | 11 | 14 |
| 0 | 19 | 14 |
| 1 | 26 | 14 |
| 2 | 40 | 14 |
| 3 | 83 | 14 |
| 4 | 186 | 14 |
| 5 | 398 | 14 |
| 6 | 823 | 14 |
| 7 | 2009 | 14 |
| 8 | 6025 | 14 |
| 0 | 8010 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(negabs x)
Compiled 16 to 11 computations (31.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.2% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 4/3 x))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x)) |
| 2.0ms | x | @ | -inf | ((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x)) |
| 2.0ms | x | @ | 0 | ((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 542 |
| 0 | 163 | 506 |
| 1 | 784 | 506 |
| 0 | 6081 | 484 |
| 1× | iter limit |
| 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) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 4/3 x))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (sin x) #s(hole binary64 (sin 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 (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 (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 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(*.f64 #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 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(*.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)) (*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(literal 8/3 binary64) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.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)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.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)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
#s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (sin (* x 1/2)) (*.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)) |
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx x x) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin 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)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sin x) (sin.f64 x)) |
Compiled 1 500 to 261 computations (82.6% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 68 | 6 | 74 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 68 | 7 | 75 |
| Status | Accuracy | Program |
|---|---|---|
| 75.2% | (/.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)) | |
| ▶ | 47.9% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) |
| ✓ | 75.2% | (/.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)) |
| ▶ | 75.1% | (*.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))) |
| ▶ | 75.2% | (*.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))) |
| ▶ | 99.3% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
Compiled 188 to 137 computations (27.1% saved)
| Inputs |
|---|
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(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) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
#s(literal 8/3 binary64) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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)) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 #s(literal 8/3 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)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3)) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2))))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2)) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 4/3 x))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))) |
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* 1/4 x))) |
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2)))))) |
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))))) |
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))))) |
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))) |
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) #s(hole binary64 (* 2/3 x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 4/3 x))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (* (sqrt x) (sqrt 1/2)))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2))))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2))))))))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2))))))))))) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x))))) |
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (/ (pow (sin (* 1/2 x)) 2) (sin x)))) |
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2))) |
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (sqrt (sin (* 1/2 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (* (sin (* 1/2 x)) 8/3) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) 2 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (/ 8/3 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (pow (sin (* 1/2 x)) 1/2)) |
| 3.0ms | x | @ | inf | ((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (* (sin (* 1/2 x)) 8/3) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) 2 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (/ 8/3 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (pow (sin (* 1/2 x)) 1/2)) |
| 3.0ms | x | @ | -inf | ((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (* (sin (* 1/2 x)) 8/3) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) 2 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (/ 8/3 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (pow (sin (* 1/2 x)) 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 358 | 2183 |
| 0 | 404 | 2043 |
| 0 | 1810 | 1951 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(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) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
#s(literal 8/3 binary64) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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)) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 #s(literal 8/3 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)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3)) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2))))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2)) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 4/3 x))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))) |
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* 1/4 x))) |
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2)))))) |
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))))) |
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))))) |
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))) |
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) #s(hole binary64 (* 2/3 x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 4/3 x))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (* (sqrt x) (sqrt 1/2)))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2))))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2))))))))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2))))))))))) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x))))) |
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (/ (pow (sin (* 1/2 x)) 2) (sin x)))) |
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2))) |
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (sqrt (sin (* 1/2 x))))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 (*.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)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#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 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(sin.f64 x) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
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(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
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(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
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(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(/.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
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(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(literal 8/3 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)) |
(*.f64 #s(literal 1/2 binary64) x) |
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(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
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(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 (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 1/2 binary64))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 #s(literal 2/3 binary64) x)) |
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#s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (sin (* x 1/2)) (*.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)) |
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (* x 1/2) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx x x) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (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))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) (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))) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
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#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
#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)) |
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#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
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#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
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#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
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#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)) |
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#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
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#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
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#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
#s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) |
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#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (* x 1/2) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
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#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (pow (sin (* 1/2 x)) 1/2) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) (fma.f64 (*.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/7680 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/7680 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/18432 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3 binary64)))) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.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)))) |
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.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)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (*.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)))) |
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
#s(approx (pow (sin (* 1/2 x)) 2) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (*.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)))) |
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
Compiled 6 189 to 687 computations (88.9% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 275 | 2 | 277 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 277 | 7 | 284 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.2% | (/.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)) |
| ✓ | 47.9% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) |
| ✓ | 75.2% | (/.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)) |
| ✓ | 75.1% | (*.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))) |
| ✓ | 75.2% | (*.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))) |
| ▶ | 99.3% | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
Compiled 102 to 74 computations (27.5% saved)
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* 1/4 x))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2)))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 1/2)) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2))))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x))) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (/ (pow (sin (* 1/2 x)) 2) (sin x)))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x)))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (* (pow (sin (* x 1/2)) 2) 8/3) (pow (sin (* x 1/2)) 2) 2) |
| 1.0ms | x | @ | -inf | ((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (* (pow (sin (* x 1/2)) 2) 8/3) (pow (sin (* x 1/2)) 2) 2) |
| 1.0ms | x | @ | 0 | ((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (* (pow (sin (* x 1/2)) 2) 8/3) (pow (sin (* x 1/2)) 2) 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 889 |
| 0 | 218 | 853 |
| 1 | 1088 | 853 |
| 0 | 8265 | 813 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* 1/4 x))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2)))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 1/2)) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2))))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x))) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (/ (pow (sin (* 1/2 x)) 2) (sin x)))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x)))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2))) |
| Outputs |
|---|
(*.f64 (*.f64 #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 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (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)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(neg.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (sin.f64 x))) |
(neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(literal 8/3 binary64) |
(*.f64 (*.f64 #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 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (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)) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(*.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 (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(pow.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.f64 #s(literal 1/4 binary64) x)) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.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)) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.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)) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) |
#s(approx (/ (sin (* x 1/2)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) (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))) |
#s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (sin (* x 1/2)) (*.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)) |
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx x x) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x)) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) (*.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)) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (pow (sin (* x 1/2)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) |
#s(approx (pow (sin (* x 1/2)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) |
#s(approx (pow (sin (* x 1/2)) 2) (*.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)) |
#s(approx (pow (sin (* x 1/2)) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin 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)))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin 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)))) |
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
#s(approx (pow (sin (* x 1/2)) 2) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
Compiled 2 300 to 429 computations (81.3% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 126 | 3 | 129 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 5 | 5 |
| Total | 127 | 9 | 136 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.6% | (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
| ▶ | 50.5% | (/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
| ✓ | 47.9% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) |
| ✓ | 75.2% | (/.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)) |
| ✓ | 75.1% | (*.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))) |
| ✓ | 75.2% | (*.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))) |
| ▶ | 71.9% | (*.f64 (*.f64 (/.f64 (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 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
| ✓ | 99.3% | (*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
Compiled 157 to 103 computations (34.4% saved)
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (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 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) |
(/.f64 (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) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 8/3 binary64) |
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) |
(-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) |
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) |
(cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* 1/4 x))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2)))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 1/2)) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2))))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (* (sqrt x) (sqrt 1/2)))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2))))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2))))))))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2))))))))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x))) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (cos (- (* 1/2 x) (* 1/2 x))) #s(hole binary64 1)) |
#s(approx (- (* 1/2 x) (* 1/2 x)) #s(hole binary64 0)) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 1)) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (+ (* 1/2 x) (* 1/2 x)) #s(hole binary64 x)) |
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x))) |
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (/ (pow (sin (* 1/2 x)) 2) (sin x)))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x)))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (sqrt (sin (* 1/2 x))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* 4/3 (/ (- 1 (cos x)) (sin x))))) |
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* 4/3 (- 1 (cos x))))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* 1/2 (- 1 (cos x))))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (cos x))) |
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2))) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* 4/3 (/ (- 1 (cos (neg (* -1 x)))) (sin x))))) |
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* 4/3 (- 1 (cos (neg (* -1 x))))))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* 1/2 (- 1 (cos (neg (* -1 x))))))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (- 1 (cos (neg (* -1 x)))))) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (cos (neg (* -1 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (pow (sin (* 1/2 x)) 1/2) (sin (* 1/2 x)) (* 1/2 x) 8/3 (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) (cos (- (* 1/2 x) (* 1/2 x))) (- (* 1/2 x) (* 1/2 x)) (cos (+ (* 1/2 x) (* 1/2 x))) (+ (* 1/2 x) (* 1/2 x)) 2 (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2)) |
| 4.0ms | x | @ | -inf | ((* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (pow (sin (* 1/2 x)) 1/2) (sin (* 1/2 x)) (* 1/2 x) 8/3 (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) (cos (- (* 1/2 x) (* 1/2 x))) (- (* 1/2 x) (* 1/2 x)) (cos (+ (* 1/2 x) (* 1/2 x))) (+ (* 1/2 x) (* 1/2 x)) 2 (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2)) |
| 2.0ms | x | @ | 0 | ((* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (pow (sin (* 1/2 x)) 1/2) (sin (* 1/2 x)) (* 1/2 x) 8/3 (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) (cos (- (* 1/2 x) (* 1/2 x))) (- (* 1/2 x) (* 1/2 x)) (cos (+ (* 1/2 x) (* 1/2 x))) (+ (* 1/2 x) (* 1/2 x)) 2 (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 359 | 2528 |
| 0 | 402 | 1839 |
| 0 | 1792 | 1763 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (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 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 8/3 binary64) |
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) |
(-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) |
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) |
(cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* 1/4 x))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2)))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 1/2)) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2))))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (* (sqrt x) (sqrt 1/2)))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2))))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2))))))))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2))))))))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x))) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))) |
#s(approx (cos (- (* 1/2 x) (* 1/2 x))) #s(hole binary64 1)) |
#s(approx (- (* 1/2 x) (* 1/2 x)) #s(hole binary64 0)) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 1)) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (+ (* 1/2 x) (* 1/2 x)) #s(hole binary64 x)) |
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x))) |
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (/ (pow (sin (* 1/2 x)) 2) (sin x)))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x)))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (sqrt (sin (* 1/2 x))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* 4/3 (/ (- 1 (cos x)) (sin x))))) |
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* 4/3 (- 1 (cos x))))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* 1/2 (- 1 (cos x))))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (- 1 (cos x)))) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (cos x))) |
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2))) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* 4/3 (/ (- 1 (cos (neg (* -1 x)))) (sin x))))) |
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* 4/3 (- 1 (cos (neg (* -1 x))))))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* 1/2 (- 1 (cos (neg (* -1 x))))))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (- 1 (cos (neg (* -1 x)))))) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (cos (neg (* -1 x))))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 8/3 binary64))) |
(*.f64 #s(literal 8/3 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) (sin.f64 x)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (fabs.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (fabs.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) |
(sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 8/3 binary64) |
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(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
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(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
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(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
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(-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 x #s(literal 1 binary64)))) |
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(sin.f64 (+.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 #s(literal 0 binary64)) |
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#s(literal 0 binary64) |
(sin.f64 (fma.f64 x #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
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(*.f64 #s(literal 1/2 binary64) (+.f64 x x)) |
(*.f64 x #s(literal 1 binary64)) |
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(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 2 binary64) |
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#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) (*.f64 #s(literal 2/3 binary64) x)) |
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#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) |
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#s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) |
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#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx x x) |
#s(approx (sin x) x) |
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#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
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#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
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#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
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#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (*.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)) (*.f64 x x))) |
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#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
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#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (cos (- (* 1/2 x) (* 1/2 x))) #s(literal 1 binary64)) |
#s(approx (- (* 1/2 x) (* 1/2 x)) #s(literal 0 binary64)) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(literal 1 binary64)) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) (fma.f64 (-.f64 (*.f64 (fma.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) #s(literal 1 binary64))) |
#s(approx (+ (* 1/2 x) (* 1/2 x)) x) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.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)) (*.f64 x x))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (*.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)) (*.f64 x x))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) (*.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)))) |
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))) |
#s(approx (/ (sin (* x 1/2)) (sin x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (pow (sin (* 1/2 x)) 1/2) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) (cos.f64 x)) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin 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)))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) |
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) |
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) (cos.f64 x)) |
Compiled 6 028 to 815 computations (86.5% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 220 | 2 | 222 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 3 | 3 | 6 |
| Total | 224 | 7 | 231 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 47.6% | (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
| 50.5% | (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 #s(literal 0 binary64)) (fma.f64 (cos.f64 (*.f64 x #s(literal 1 binary64))) (cos.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 x #s(literal 1 binary64))))))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| ✓ | 47.9% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) |
| ✓ | 75.1% | (*.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))) |
| ✓ | 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))) |
| ✓ | 71.9% | (*.f64 (*.f64 (/.f64 (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 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
| 99.5% | #s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) |
Compiled 428 to 182 computations (57.5% saved)
Total -48.7b remaining (-14495%)
Threshold costs -48.7b (-14495%)
| Inputs |
|---|
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (/.f64 (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 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 (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 (*.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 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) |
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 #s(literal 0 binary64)) (fma.f64 (cos.f64 (*.f64 x #s(literal 1 binary64))) (cos.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 x #s(literal 1 binary64))))))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x)) |
| Outputs |
|---|
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) |
2 calls:
| 10.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 99.5% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 23 |
| 1 | 54 | 22 |
| 2 | 134 | 22 |
| 3 | 447 | 22 |
| 4 | 3688 | 22 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) |
| 1× | fuel |
Compiled 31 to 20 computations (35.5% saved)
(negabs x)
Compiled 156 to 102 computations (34.6% saved)
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