
Time bar (total: 4.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 49.6% | 49.6% | 50.4% | 0% | 0% | 0% | 0% | 9 |
| 49.8% | 49.8% | 50.2% | 0% | 0% | 0% | 0% | 10 |
| 49.9% | 49.9% | 50.1% | 0% | 0% | 0% | 0% | 11 |
| 50% | 49.9% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 732.0ms | 4 166× | 0 | valid |
| 668.0ms | 2 242× | 2 | valid |
| 296.0ms | 640× | 3 | valid |
| 154.0ms | 1 204× | 1 | valid |
| 5.0ms | 4× | 4 | valid |
ival-cos: 775.0ms (49.8% of total)ival-div: 349.0ms (22.4% of total)adjust: 168.0ms (10.8% of total)ival-sin: 163.0ms (10.5% of total)ival-sub: 86.0ms (5.5% of total)ival-true: 6.0ms (0.4% of total)exact: 5.0ms (0.3% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 72 | 0 | - | 2 | (-3.141826959369632e-160) | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 69 | 1 | (-6.12861131870121e+240) | 0 | - | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | cancellation | 70 | 1 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) | u/n | 70 | 0 |
| ↳ | (-.f64 #s(literal 1 binary64) (cos.f64 x)) | underflow | 70 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 139 | 0 |
| - | 1 | 116 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 139 | 0 | 0 |
| - | 1 | 1 | 115 |
| number | freq |
|---|---|
| 0 | 116 |
| 1 | 140 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 46.0ms | 144× | 2 | valid |
| 29.0ms | 248× | 0 | valid |
| 17.0ms | 44× | 3 | valid |
| 9.0ms | 76× | 1 | valid |
Compiled 45 to 22 computations (51.1% saved)
ival-cos: 41.0ms (49% of total)ival-sin: 14.0ms (16.7% of total)ival-div: 13.0ms (15.5% of total)adjust: 10.0ms (12% of total)ival-sub: 5.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 29 | 9 |
| 2 | 71 | 8 |
| 3 | 143 | 8 |
| 4 | 377 | 8 |
| 5 | 1418 | 8 |
| 0 | 6 | 7 |
| 0 | 10 | 4 |
| 1 | 24 | 4 |
| 2 | 37 | 4 |
| 3 | 60 | 4 |
| 4 | 131 | 4 |
| 5 | 606 | 4 |
| 0 | 8288 | 4 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(negabs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(sin.f64 x) |
| Outputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(/ (- 1 (cos x)) (sin x)) |
(- 1 (cos x)) |
(cos x) |
(sin x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x)) |
| 1.0ms | x | @ | 0 | ((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x)) |
| 1.0ms | x | @ | -inf | ((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 202 |
| 1 | 266 | 202 |
| 2 | 794 | 196 |
| 3 | 3337 | 196 |
| 4 | 7629 | 196 |
| 0 | 8018 | 172 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(/ (- 1 (cos x)) (sin x)) |
(- 1 (cos x)) |
(cos x) |
(sin x) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 (fma.f64 (fma.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)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (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)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(sin x) |
(sin.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 14 |
| 1 | 41 | 14 |
| 0 | 302 | 14 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(sin.f64 x) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x)))) |
(tan.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
x |
(sin.f64 x) |
Compiled 779 to 203 computations (73.9% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 49 | 5 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 49 | 6 | 55 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| ▶ | 53.2% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
| ▶ | 53.2% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
| ▶ | 53.1% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
| ▶ | 53.0% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 100.0% | #s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
Compiled 179 to 128 computations (28.5% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/240 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) |
#s(literal 17/40320 binary64) |
| Outputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
x |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(pow x 2) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
1/24 |
(+ 1/24 (* 1/240 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))) |
1/240 |
(+ 1/240 (* 17/40320 (pow x 2))) |
(/ (- 1 (cos x)) (sin x)) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/240 (pow x 5)) |
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/240 (pow x 4)) |
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/240 (pow x 2)) |
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 4)) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* 17/40320 (pow x 2)) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((/ (- 1 (cos x)) (sin x)) (tan (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320) |
| 3.0ms | x | @ | inf | ((/ (- 1 (cos x)) (sin x)) (tan (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320) |
| 2.0ms | x | @ | 0 | ((/ (- 1 (cos x)) (sin x)) (tan (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 456 |
| 1 | 359 | 456 |
| 2 | 1170 | 454 |
| 3 | 5046 | 454 |
| 0 | 8562 | 434 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
x |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(pow x 2) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
1/24 |
(+ 1/24 (* 1/240 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))) |
1/240 |
(+ 1/240 (* 17/40320 (pow x 2))) |
(/ (- 1 (cos x)) (sin x)) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/240 (pow x 5)) |
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/240 (pow x 4)) |
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/240 (pow x 2)) |
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 4)) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* 17/40320 (pow x 2)) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
x |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/240 (pow x 2))) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) |
1/240 |
#s(literal 1/240 binary64) |
(+ 1/240 (* 17/40320 (pow x 2))) |
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) |
(* 1/24 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(* 1/240 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64)) |
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/240 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/240 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/240 binary64)) |
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64))) |
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/240 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/240 (pow x 2)) |
(*.f64 #s(literal 1/240 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* 17/40320 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/40320 binary64)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64))) |
(* 17/40320 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/40320 binary64)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* 17/40320 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64)) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 17/40320 (pow x 2)) |
(*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/240 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 196 |
| 0 | 45 | 181 |
| 1 | 185 | 181 |
| 2 | 1427 | 181 |
| 0 | 8354 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/240 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) |
#s(literal 17/40320 binary64) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64)))) |
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) |
(/.f64 (+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64))) |
(tan.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
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(/.f64 (fma.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))) (*.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))) #s(literal 1/13824000 binary64))) (*.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/57600 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) (neg.f64 (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) (neg.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(/.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/57600 binary64)) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) |
(/.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) |
(/.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 17/40320 binary64) (neg.f64 x))) x #s(literal 1/240 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 17/40320 binary64) x)) x #s(literal 1/240 binary64)) |
(fma.f64 (*.f64 #s(literal 17/40320 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/240 binary64)) |
(fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) |
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 17/40320 binary64))) #s(literal 1/240 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 17/40320 binary64) x)) #s(literal 1/240 binary64)) |
(fma.f64 x (*.f64 #s(literal 17/40320 binary64) x) #s(literal 1/240 binary64)) |
(-.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)))) |
(-.f64 #s(literal 1/240 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 17/40320 binary64) x)) x)) |
(-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1/13824000 binary64) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 #s(literal 1/13824000 binary64) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/13824000 binary64) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 #s(literal 1/13824000 binary64) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) (/.f64 #s(literal -1/57600 binary64) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)))) |
(+.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) |
(+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x))) |
#s(literal 17/40320 binary64) |
Compiled 19 019 to 2 160 computations (88.6% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 487 | 4 | 491 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 487 | 10 | 497 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| ✓ | 53.2% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
| ✓ | 53.2% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
| ✓ | 53.1% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
| ▶ | 52.7% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)) |
| ▶ | 52.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)) |
| ▶ | 52.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x)) |
| ▶ | 4.3% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) |
| ✓ | 53.0% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 100.0% | #s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
Compiled 182 to 131 computations (28% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) |
(*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) |
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/240 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) |
#s(literal 17/40320 binary64) |
| Outputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (pow x 2)) |
(pow x 2) |
x |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))) |
(+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))) |
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/240 (pow x 2)))) |
1/24 |
(+ 1/24 (* 1/240 (pow x 2))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))) |
(* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))) |
(* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))) |
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))) |
1/240 |
(+ 1/240 (* 17/40320 (pow x 2))) |
(/ (- 1 (cos x)) (sin x)) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* -1/24 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/240 (pow x 5)) |
(* -1 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1/240 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/240 (pow x 4)) |
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/240 (pow x 3)) |
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/240 (pow x 2)) |
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* -17/40320 (pow x 7)) |
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(* -17/40320 (pow x 6)) |
(* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* 17/40320 (pow x 5)) |
(* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* 17/40320 (pow x 4)) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* 17/40320 (pow x 2)) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4))))) |
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 6)))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* 1/24 (* x x))) x) (- 1/2 (* 1/24 (* x x))) 1/2 (* 1/24 (* x x)) (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (* (* (+ (* 1/240 (* x x)) 1/24) x) x) (* (+ (* 1/240 (* x x)) 1/24) x) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320) |
| 3.0ms | x | @ | -inf | ((/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* 1/24 (* x x))) x) (- 1/2 (* 1/24 (* x x))) 1/2 (* 1/24 (* x x)) (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (* (* (+ (* 1/240 (* x x)) 1/24) x) x) (* (+ (* 1/240 (* x x)) 1/24) x) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320) |
| 2.0ms | x | @ | 0 | ((/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) x 1/24 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* 1/24 (* x x))) x) (- 1/2 (* 1/24 (* x x))) 1/2 (* 1/24 (* x x)) (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (* (* (+ (* 1/240 (* x x)) 1/24) x) x) (* (+ (* 1/240 (* x x)) 1/24) x) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 708 |
| 1 | 442 | 708 |
| 2 | 1535 | 699 |
| 3 | 5658 | 699 |
| 0 | 8205 | 662 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (pow x 2)) |
(pow x 2) |
x |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(+ 1/2 (* -1/24 (pow x 2))) |
(* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))) |
(+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))) |
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/240 (pow x 2)))) |
1/24 |
(+ 1/24 (* 1/240 (pow x 2))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))) |
(* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))) |
(* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))) |
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))) |
1/240 |
(+ 1/240 (* 17/40320 (pow x 2))) |
(/ (- 1 (cos x)) (sin x)) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* -1/24 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/240 (pow x 5)) |
(* -1 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1/240 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/240 (pow x 4)) |
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/240 (pow x 3)) |
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/240 (pow x 2)) |
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(* -17/40320 (pow x 7)) |
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(* -17/40320 (pow x 6)) |
(* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* 17/40320 (pow x 5)) |
(* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* 17/40320 (pow x 4)) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* 17/40320 (pow x 2)) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4))))) |
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 6)))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* x (+ 1/24 (* 1/240 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/240 (pow x 2))) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) |
1/240 |
#s(literal 1/240 binary64) |
(+ 1/240 (* 17/40320 (pow x 2))) |
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(* 1/24 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(* -1/24 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* -1/24 (pow x 2)) |
(*.f64 #s(literal -1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* -1/240 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)) |
(* -1 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1/240 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/240 binary64)) |
(* -1 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/240 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/240 binary64)) |
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64))) |
(* 1/240 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/240 binary64)) |
(* (pow x 3) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(* 1/240 (pow x 2)) |
(*.f64 #s(literal 1/240 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* -17/40320 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/40320 binary64)) |
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/40320 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64))) |
(* -17/40320 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -17/40320 binary64)) |
(* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)))) |
(* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/40320 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) x) x)) (pow.f64 x #s(literal 6 binary64))) |
(* 17/40320 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/40320 binary64)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* 17/40320 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 17/40320 binary64)) |
(* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 17/40320 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64)) |
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 17/40320 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 17/40320 (pow x 2)) |
(*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* -1 (* (pow x 5) (- (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -17/40320 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 282 |
| 0 | 55 | 270 |
| 1 | 216 | 270 |
| 2 | 1565 | 270 |
| 0 | 8651 | 264 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) |
(*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) |
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/240 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) |
#s(literal 17/40320 binary64) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) |
(*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) |
(*.f64 x #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) x)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) |
(fabs.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
x |
#s(literal 1/24 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) x)) (neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) x)) (neg.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))))) (neg.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) x) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) x) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x)) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) #s(literal 1/4 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)) x))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) x)))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))))) |
(/.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) |
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(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x) #s(literal 1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x) #s(literal 1/24 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x)) |
(/.f64 (-.f64 #s(literal 1/13824000 binary64) (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1/57600 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) (fma.f64 (/.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))))))) |
(/.f64 (-.f64 #s(literal 1/13824000 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 17/40320 binary64) x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/57600 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 17/40320 binary64) x)) x) (*.f64 (neg.f64 (*.f64 #s(literal 17/40320 binary64) x)) x) (*.f64 #s(literal 1/240 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 17/40320 binary64) x)) x))))) |
(/.f64 (-.f64 #s(literal 1/13824000 binary64) (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/57600 binary64) (fma.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/13824000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 1/13824000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 #s(literal 1/13824000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 #s(literal 1/13824000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)))) (neg.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) #s(literal -1/57600 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) #s(literal 1/57600 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))) #s(literal 1/13824000 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) #s(literal -1/57600 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) (neg.f64 (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) #s(literal -1/57600 binary64)) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) |
(/.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) |
(/.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 17/40320 binary64) (neg.f64 x))) x #s(literal 1/240 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 17/40320 binary64) x)) x #s(literal 1/240 binary64)) |
(fma.f64 (*.f64 #s(literal 17/40320 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/240 binary64)) |
(fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) |
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 17/40320 binary64))) #s(literal 1/240 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 17/40320 binary64) x)) #s(literal 1/240 binary64)) |
(fma.f64 x (*.f64 #s(literal 17/40320 binary64) x) #s(literal 1/240 binary64)) |
(-.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)))) |
(-.f64 #s(literal 1/240 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 17/40320 binary64) x)) x)) |
(-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1/13824000 binary64) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 #s(literal 1/13824000 binary64) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/13824000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) (/.f64 #s(literal 1/13824000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/1625702400 binary64)) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))) (/.f64 #s(literal -1/57600 binary64) (-.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)))) |
(+.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) |
(+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x))) |
#s(literal 17/40320 binary64) |
Compiled 21 836 to 3 035 computations (86.1% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 545 | 5 | 550 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 6 | 6 |
| Total | 547 | 13 | 560 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| ✓ | 53.2% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
| ✓ | 53.2% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
| ✓ | 53.1% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
| ▶ | 52.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
| ▶ | 52.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
| ✓ | 52.7% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)) |
| ✓ | 52.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)) |
| ▶ | 52.7% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
| ▶ | 52.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
| ▶ | 4.0% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x)) |
| ✓ | 53.0% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 100.0% | #s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
Compiled 414 to 291 computations (29.7% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/24 binary64) x) |
#s(literal -1/24 binary64) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x)) |
(*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x) |
#s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/24 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x) |
#s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) |
#s(literal -1/240 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x) |
#s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) |
(*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) |
(fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) |
#s(literal -17/40320 binary64) |
| Outputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(* -1/24 x) |
x |
(* -1/24 (pow x 2)) |
(pow x 2) |
(* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))) |
(+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))) |
-1/24 |
(- (* -1/240 (pow x 2)) 1/24) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))) |
(- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24) |
(* -1/240 x) |
(* x (- (* -17/40320 (pow x 2)) 1/240)) |
-1/240 |
(- (* -17/40320 (pow x 2)) 1/240) |
(/ (- 1 (cos x)) (sin x)) |
(* -1/24 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/240 (pow x 5)) |
(* -1 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1/240 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1/240 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* -17/40320 (pow x 7)) |
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(* -17/40320 (pow x 6)) |
(* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(* -17/40320 (pow x 4)) |
(* -1 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(* -17/40320 (pow x 3)) |
(* -1 (* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(* -17/40320 (pow x 2)) |
(* -1 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4))))) |
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 6)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((/ (- 1 (cos x)) (sin x)) (* (+ (* (* -1/24 x) x) 1/2) x) (+ (* (* -1/24 x) x) 1/2) (* -1/24 x) -1/24 x 1/2 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* 1/24 (* x x))) x) (- 1/2 (* 1/24 (* x x))) (* -1/24 (* x x)) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) -1/24) 1/2) x) (+ (* (* x x) -1/24) 1/2) (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (+ (* (+ (* -1/240 (* x x)) -1/24) (* x x)) 1/2) (+ (* -1/240 (* x x)) -1/24) -1/240 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (+ (* (+ (* (* (+ (* -17/40320 (* x x)) -1/240) x) x) -1/24) (* x x)) 1/2) (+ (* (* (+ (* -17/40320 (* x x)) -1/240) x) x) -1/24) (* (+ (* -17/40320 (* x x)) -1/240) x) (+ (* -17/40320 (* x x)) -1/240) -17/40320) |
| 3.0ms | x | @ | -inf | ((/ (- 1 (cos x)) (sin x)) (* (+ (* (* -1/24 x) x) 1/2) x) (+ (* (* -1/24 x) x) 1/2) (* -1/24 x) -1/24 x 1/2 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* 1/24 (* x x))) x) (- 1/2 (* 1/24 (* x x))) (* -1/24 (* x x)) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) -1/24) 1/2) x) (+ (* (* x x) -1/24) 1/2) (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (+ (* (+ (* -1/240 (* x x)) -1/24) (* x x)) 1/2) (+ (* -1/240 (* x x)) -1/24) -1/240 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (+ (* (+ (* (* (+ (* -17/40320 (* x x)) -1/240) x) x) -1/24) (* x x)) 1/2) (+ (* (* (+ (* -17/40320 (* x x)) -1/240) x) x) -1/24) (* (+ (* -17/40320 (* x x)) -1/240) x) (+ (* -17/40320 (* x x)) -1/240) -17/40320) |
| 2.0ms | x | @ | 0 | ((/ (- 1 (cos x)) (sin x)) (* (+ (* (* -1/24 x) x) 1/2) x) (+ (* (* -1/24 x) x) 1/2) (* -1/24 x) -1/24 x 1/2 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* 1/24 (* x x))) x) (- 1/2 (* 1/24 (* x x))) (* -1/24 (* x x)) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) -1/24) 1/2) x) (+ (* (* x x) -1/24) 1/2) (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (+ (* (+ (* -1/240 (* x x)) -1/24) (* x x)) 1/2) (+ (* -1/240 (* x x)) -1/24) -1/240 (/ (- 1 (cos x)) (sin x)) (* (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) x) (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (+ (* (+ (* (* (+ (* -17/40320 (* x x)) -1/240) x) x) -1/24) (* x x)) 1/2) (+ (* (* (+ (* -17/40320 (* x x)) -1/240) x) x) -1/24) (* (+ (* -17/40320 (* x x)) -1/240) x) (+ (* -17/40320 (* x x)) -1/240) -17/40320) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 540 |
| 1 | 396 | 540 |
| 2 | 1483 | 530 |
| 3 | 5303 | 530 |
| 0 | 8250 | 502 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(* -1/24 x) |
x |
(* -1/24 (pow x 2)) |
(pow x 2) |
(* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))) |
(+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))) |
-1/24 |
(- (* -1/240 (pow x 2)) 1/24) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))) |
(- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24) |
(* -1/240 x) |
(* x (- (* -17/40320 (pow x 2)) 1/240)) |
-1/240 |
(- (* -17/40320 (pow x 2)) 1/240) |
(/ (- 1 (cos x)) (sin x)) |
(* -1/24 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(* -1/240 (pow x 5)) |
(* -1 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 5) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1/240 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1/240 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(* -17/40320 (pow x 7)) |
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(* -17/40320 (pow x 6)) |
(* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(* -17/40320 (pow x 4)) |
(* -1 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(* -17/40320 (pow x 3)) |
(* -1 (* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(* -17/40320 (pow x 2)) |
(* -1 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4))))) |
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(* -1 (* (pow x 7) (- (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 6)))))) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* -1/24 x) |
(*.f64 #s(literal -1/24 binary64) x) |
x |
(* -1/24 (pow x 2)) |
(*.f64 #s(literal -1/24 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* x (+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(+ 1/2 (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24))) |
(fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
-1/24 |
#s(literal -1/24 binary64) |
(- (* -1/240 (pow x 2)) 1/24) |
(fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24) |
(fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) |
(* -1/240 x) |
(*.f64 #s(literal -1/240 binary64) x) |
(* x (- (* -17/40320 (pow x 2)) 1/240)) |
(*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) |
-1/240 |
#s(literal -1/240 binary64) |
(- (* -17/40320 (pow x 2)) 1/240) |
(fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(* -1/24 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x) |
(* -1/240 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)) |
(* -1 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1/240 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/240 binary64)) |
(* -1 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (/ 1/2 (pow x 4)) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* -1/240 (pow x 2)) |
(*.f64 #s(literal -1/240 binary64) (*.f64 x x)) |
(* -1 (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) |
(* -17/40320 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/40320 binary64)) |
(* -1 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/40320 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64))) |
(* -17/40320 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -17/40320 binary64)) |
(* -1 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)))) |
(* (pow x 6) (- (* 1/2 (/ 1 (pow x 6))) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/40320 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) x) x)) (pow.f64 x #s(literal 6 binary64))) |
(* -17/40320 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/40320 binary64)) |
(* -1 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/240 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* -17/40320 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -17/40320 binary64)) |
(* -1 (* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) |
(* -17/40320 (pow x 2)) |
(*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) |
(* -1 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) |
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* -1 (* (pow x 5) (- (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (/ 1/2 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))) (* 1/2 (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -17/40320 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 392 |
| 0 | 78 | 374 |
| 1 | 324 | 374 |
| 0 | 2491 | 365 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/24 binary64) x) |
#s(literal -1/24 binary64) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x)) |
(*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x) |
#s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/24 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x) |
#s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) |
#s(literal -1/240 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x) |
#s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) |
(*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) |
(fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) |
#s(literal -17/40320 binary64) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64))) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/13824 binary64))) x) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/13824 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) x)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/13824 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/24 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/24 binary64) x)) x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/24 binary64) x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/24 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(*.f64 #s(literal -1/24 binary64) x) |
(*.f64 x #s(literal -1/24 binary64)) |
(neg.f64 (*.f64 #s(literal 1/24 binary64) x)) |
#s(literal -1/24 binary64) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) x)) |
(*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) x) |
(*.f64 x #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) |
#s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) |
(*.f64 (*.f64 #s(literal -1/24 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal -1/24 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/24 binary64)) |
(*.f64 (*.f64 #s(literal -1/24 binary64) x) x) |
(*.f64 #s(literal -1/24 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal -1/24 binary64) x)) |
(neg.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
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(/.f64 (-.f64 #s(literal 1/57600 binary64) (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal -1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal -1/240 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -4913/65548320768000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824000 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64)) (-.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal -1/240 binary64))) |
(/.f64 (fma.f64 #s(literal -4913/65548320768000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824000 binary64)) (+.f64 #s(literal 1/57600 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) |
(/.f64 (fma.f64 #s(literal -4913/65548320768000 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/13824000 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))) |
(fma.f64 (*.f64 #s(literal -17/40320 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/240 binary64)) |
(fma.f64 (*.f64 #s(literal -17/40320 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/240 binary64)) |
(fma.f64 (*.f64 #s(literal -17/40320 binary64) x) x #s(literal -1/240 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -17/40320 binary64)) #s(literal -1/240 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -17/40320 binary64)) #s(literal -1/240 binary64)) |
(fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -17/40320 binary64) #s(literal -1/240 binary64)) |
(fma.f64 x (*.f64 #s(literal -17/40320 binary64) x) #s(literal -1/240 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal -1/240 binary64)))) |
(-.f64 #s(literal -1/240 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -17/40320 binary64) x)) x)) |
(-.f64 #s(literal -1/240 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -17/40320 binary64))) |
(-.f64 #s(literal -1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))) (/.f64 #s(literal -1/13824000 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/57600 binary64)) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))) |
(+.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) |
(+.f64 #s(literal -1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))) |
#s(literal -17/40320 binary64) |
Compiled 13 977 to 1 647 computations (88.2% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 351 | 5 | 356 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 6 | 8 |
| Total | 356 | 13 | 369 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.0% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| ✓ | 53.2% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
| ✓ | 53.2% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
| ✓ | 53.1% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
| ✓ | 52.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
| 52.7% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -17/40320 (* x x)) -1/240) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) | |
| 52.7% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x)) | |
| 52.8% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x)) | |
| 4.0% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) x)) | |
| ✓ | 4.0% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x)) |
| 25.0% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* -1/24 x) x) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)) x)) | |
| ✓ | 53.0% | #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 100.0% | #s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
Compiled 822 to 358 computations (56.4% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* -1/24 x) x) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -17/40320 (* x x)) -1/240) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
2 calls:
| 5.0ms | x |
| 5.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 100.0% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* -1/24 x) x) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -17/40320 (* x x)) -1/240) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
2 calls:
| 7.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.2% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 53.2% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* -1/24 x) x) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* -17/40320 (* x x)) -1/240) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x))) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
2 calls:
| 4.0ms | x |
| 4.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.2% | 1 | x |
| 53.2% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* (* (+ (* 1/240 (* x x)) 1/24) x) x)) (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.1% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 53.1% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
Total -32.0b remaining (-106.3%)
Threshold costs -32b (-106.3%)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (- 1/2 (* 1/24 (* x x))) (*.f64 (*.f64 #s(literal -1/24 binary64) x) x)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.0% | 1 | x |
| 53.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 71 |
| 1 | 41 | 71 |
| 2 | 54 | 71 |
| 3 | 82 | 71 |
| 4 | 156 | 71 |
| 5 | 701 | 71 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) |
| 1× | fuel |
Compiled 86 to 27 computations (68.6% saved)
(negabs x)
Compiled 218 to 94 computations (56.9% saved)
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