
Time bar (total: 9.2s)
| 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 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-cos: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1.3s | 2022× | 2 | valid |
| 375.0ms | 2098× | 1 | valid |
| 371.0ms | 4136× | 0 | valid |
ival-cos: 1.4s (77.1% of total)ival-mult: 103.0ms (5.9% of total)ival-div: 97.0ms (5.5% of total)backward-pass: 97.0ms (5.5% of total)ival-sub: 89.0ms (5.1% of total)const: 16.0ms (0.9% of total)| 2× | egg-herbie |
| 1096× | fnmadd-define |
| 1018× | sum3-define |
| 1016× | fma-define |
| 936× | sum5-define |
| 904× | sum3-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 22 |
| 1 | 40 | 22 |
| 2 | 113 | 21 |
| 3 | 311 | 21 |
| 4 | 845 | 21 |
| 5 | 1951 | 21 |
| 6 | 3654 | 21 |
| 7 | 3863 | 21 |
| 0 | 6 | 7 |
| 1 | 16 | 7 |
| 2 | 28 | 7 |
| 3 | 46 | 7 |
| 4 | 85 | 7 |
| 5 | 145 | 7 |
| 6 | 236 | 7 |
| 7 | 465 | 7 |
| 8 | 1142 | 7 |
| 9 | 2534 | 7 |
| 10 | 4043 | 7 |
| 11 | 4063 | 7 |
| 0 | 4063 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
| Outputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Inputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(/ (- 1 (cos (neg x))) (* (neg x) (neg x))) |
(neg (/ (- 1 (cos (neg x))) (* (neg x) (neg x)))) |
| Outputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(/ (- 1 (cos x)) (square x)) |
(/ (- 1 (cos (neg x))) (* (neg x) (neg x))) |
(/ (- 1 (cos x)) (square x)) |
(neg (/ (- 1 (cos (neg x))) (* (neg x) (neg x)))) |
(/ (+ (cos x) -1) (square x)) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 78 | 3 | (4.822078516680828e-162) | 1 | (1.5998950205882915e+307) | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 66 | 1 | (1.991286015233508e+161) | 2 | (4.878203456315968e-162) | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 59.0ms | 130× | 2 | valid |
| 29.0ms | 242× | 0 | valid |
| 24.0ms | 140× | 1 | valid |
Compiled 51 to 20 computations (60.8% saved)
ival-cos: 51.0ms (62.1% of total)ival-mult: 12.0ms (14.6% of total)ival-div: 6.0ms (7.3% of total)backward-pass: 6.0ms (7.3% of total)ival-sub: 6.0ms (7.3% of total)const: 1.0ms (1.2% of total)Compiled 9 to 6 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.8% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 1096× | fnmadd-define |
| 1018× | sum3-define |
| 1016× | fma-define |
| 880× | sum5-define |
| 550× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 16 | 17 |
| 2 | 28 | 17 |
| 3 | 46 | 17 |
| 4 | 85 | 17 |
| 5 | 145 | 17 |
| 6 | 236 | 17 |
| 7 | 465 | 17 |
| 8 | 1142 | 17 |
| 9 | 2534 | 17 |
| 10 | 4043 | 17 |
| 11 | 4063 | 17 |
| 0 | 4063 | 17 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(- 1 (cos x)) |
1 |
(cos x) |
x |
(* x x) |
| Outputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
x |
(* x x) |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 75.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | accuracy | 74.0% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| 32.0ms | 65× | 2 | valid |
| 13.0ms | 70× | 1 | valid |
| 11.0ms | 121× | 0 | valid |
Compiled 21 to 7 computations (66.7% saved)
ival-cos: 25.0ms (66.1% of total)ival-div: 3.0ms (7.9% of total)ival-mult: 3.0ms (7.9% of total)backward-pass: 3.0ms (7.9% of total)ival-sub: 3.0ms (7.9% of total)const: 1.0ms (2.6% of total)| Inputs |
|---|
#<alt (/ (- 1 (cos x)) (* x x))> |
#<alt (- 1 (cos x))> |
#<alt (cos x)> |
#<alt (* x x)> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | inf | (* x x) |
| 0.0ms | x | @ | 0 | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | -inf | (/ (- 1 (cos x)) (* x x)) |
| 0.0ms | x | @ | 0 | (cos x) |
| 1× | batch-egg-rewrite |
| 2562× | *-lowering-*.f32 |
| 2562× | *-lowering-*.f64 |
| 2250× | fma-lowering-fma.f32 |
| 2250× | fma-lowering-fma.f64 |
| 1948× | prod-diff |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 37 | 15 |
| 2 | 270 | 15 |
| 3 | 2919 | 15 |
| 0 | 8614 | 15 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 (cos x)) (* x x)) |
(- 1 (cos x)) |
(cos x) |
(* x x) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) x))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (cos.f64 x) x) x))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (cos.f64 x) x) (/.f64 (/.f64 (cos.f64 x) x) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal -1 binary64)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal -1 binary64)))) |
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x)))) |
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) |
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal -1 binary64)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal -1 binary64)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) #s(literal -1 binary64)))) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) #s(literal -1 binary64)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) #s(literal -1 binary64)))) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) #s(literal -1 binary64)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x)) #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 1 binary64)))) |
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(cos.f64 x) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(*.f64 x (/.f64 x #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
| 1× | egg-herbie |
| 2236× | sum3-define |
| 2048× | fma-lowering-fma.f32 |
| 2048× | fma-lowering-fma.f64 |
| 1796× | sum4-define |
| 1484× | fmm-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 278 |
| 1 | 113 | 224 |
| 2 | 316 | 224 |
| 3 | 821 | 224 |
| 4 | 1931 | 224 |
| 5 | 2947 | 224 |
| 6 | 3532 | 224 |
| 7 | 4854 | 224 |
| 0 | 8003 | 224 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (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 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
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))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Compiled 13229 to 1215 computations (90.8% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 494 | 17 | 511 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 494 | 18 | 512 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 26.2% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
| ▶ | 28.0% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 20.0% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| ✓ | 47.8% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 23.8% | (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) | |
| ▶ | 75.1% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
| ▶ | 47.8% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
| 47.8% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) | |
| 48.4% | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) | |
| 54.6% | (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) | |
| 54.2% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) | |
| 75.1% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) | |
| 47.7% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| 48.8% | (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)) | |
| 14.8% | (*.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) | |
| 74.9% | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) | |
| 48.9% | (neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) | |
| ▶ | 55.1% | #s(literal 1/2 binary64) |
Compiled 433 to 260 computations (40% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
| ✓ | cost-diff | 640 | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
| ✓ | cost-diff | 640 | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 x) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ✓ | cost-diff | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
| 2028× | *-lowering-*.f32 |
| 2028× | *-lowering-*.f64 |
| 1722× | fnmadd-define |
| 1676× | /-lowering-/.f32 |
| 1676× | /-lowering-/.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 120 |
| 1 | 62 | 119 |
| 2 | 161 | 112 |
| 3 | 457 | 108 |
| 4 | 1323 | 108 |
| 5 | 3734 | 108 |
| 0 | 8483 | 108 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (sin x) (tan (/ x 2))) (* x x)) |
(* (sin x) (tan (/ x 2))) |
(sin x) |
x |
(tan (/ x 2)) |
(/ x 2) |
2 |
(* x x) |
1/2 |
(/ (/ (+ 1 (cos x)) x) x) |
(/ (+ 1 (cos x)) x) |
(+ 1 (cos x)) |
1 |
(cos x) |
x |
(/ -1 (/ (* x x) (+ (cos x) -1))) |
-1 |
(/ (* x x) (+ (cos x) -1)) |
(* x x) |
x |
(+ (cos x) -1) |
(cos x) |
(/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) |
(/ (- (* x x) (* x (* x (cos x)))) (* x x)) |
(- (* x x) (* x (* x (cos x)))) |
(* x x) |
x |
(* x (* x (cos x))) |
(* x (cos x)) |
(cos x) |
| Outputs |
|---|
(/ (* (sin x) (tan (/ x 2))) (* x x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(* (sin x) (tan (/ x 2))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(sin x) |
(sin.f64 x) |
x |
(tan (/ x 2)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(* x x) |
(*.f64 x x) |
1/2 |
#s(literal 1/2 binary64) |
(/ (/ (+ 1 (cos x)) x) x) |
(/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(/ (+ 1 (cos x)) x) |
(/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) |
(+ 1 (cos x)) |
(+.f64 (cos.f64 x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
x |
(/ -1 (/ (* x x) (+ (cos x) -1))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(/ (* x x) (+ (cos x) -1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(* x x) |
(*.f64 x x) |
x |
(+ (cos x) -1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos x) |
(cos.f64 x) |
(/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- (* x x) (* x (* x (cos x)))) (* x x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- (* x x) (* x (* x (cos x)))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(* x x) |
(*.f64 x x) |
x |
(* x (* x (cos x))) |
(*.f64 (*.f64 x x) (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (cos.f64 x)) |
| ✓ | accuracy | 76.6% | (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) |
| ✓ | accuracy | 75.9% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
| ✓ | accuracy | 43.1% | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
| ✓ | accuracy | 75.6% | (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ✓ | accuracy | 74.0% | (+.f64 (cos.f64 x) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.8% | (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ✓ | accuracy | 99.4% | (+.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 75.9% | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
| 70.0ms | 76× | 2 | valid |
| 39.0ms | 20× | 3 | valid |
| 39.0ms | 121× | 0 | valid |
| 37.0ms | 39× | 1 | valid |
Compiled 144 to 24 computations (83.3% saved)
ival-cos: 32.0ms (27.8% of total)ival-div: 27.0ms (23.4% of total)backward-pass: 17.0ms (14.8% of total)ival-mult: 13.0ms (11.3% of total)ival-add: 9.0ms (7.8% of total)ival-sin: 7.0ms (6.1% of total)ival-tan: 6.0ms (5.2% of total)ival-sub: 3.0ms (2.6% of total)const: 1.0ms (0.9% of total)| Inputs |
|---|
#<alt (/ (* (sin x) (tan (/ x 2))) (* x x))> |
#<alt (* (sin x) (tan (/ x 2)))> |
#<alt (sin x)> |
#<alt (tan (/ x 2))> |
#<alt (/ (/ (+ 1 (cos x)) x) x)> |
#<alt (/ (+ 1 (cos x)) x)> |
#<alt (+ 1 (cos x))> |
#<alt (cos x)> |
#<alt (/ -1 (/ (* x x) (+ (cos x) -1)))> |
#<alt (/ (* x x) (+ (cos x) -1))> |
#<alt (* x x)> |
#<alt (+ (cos x) -1)> |
#<alt (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x))> |
#<alt (/ (- (* x x) (* x (* x (cos x)))) (* x x))> |
#<alt (- (* x x) (* x (* x (cos x))))> |
#<alt (* x (cos x))> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))> |
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))> |
#<alt (/ (+ 1 (cos x)) (pow x 2))> |
#<alt (/ (+ 1 (cos x)) (pow x 2))> |
#<alt (/ (+ 1 (cos x)) (pow x 2))> |
#<alt (/ (+ 1 (cos x)) (pow x 2))> |
#<alt (/ (+ 1 (cos x)) (pow x 2))> |
#<alt (/ (+ 1 (cos x)) (pow x 2))> |
#<alt (/ (+ 1 (cos x)) (pow x 2))> |
#<alt (/ (+ 1 (cos x)) (pow x 2))> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)> |
#<alt (/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)> |
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)> |
#<alt (/ (+ 1 (cos x)) x)> |
#<alt (/ (+ 1 (cos x)) x)> |
#<alt (/ (+ 1 (cos x)) x)> |
#<alt (/ (+ 1 (cos x)) x)> |
#<alt (/ (+ 1 (cos x)) x)> |
#<alt (/ (+ 1 (cos x)) x)> |
#<alt (/ (+ 1 (cos x)) x)> |
#<alt (/ (+ 1 (cos x)) x)> |
#<alt 2> |
#<alt (+ 2 (* -1/2 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (+ 1 (cos x))> |
#<alt (+ 1 (cos x))> |
#<alt (+ 1 (cos x))> |
#<alt (+ 1 (cos x))> |
#<alt (+ 1 (cos x))> |
#<alt (+ 1 (cos x))> |
#<alt (+ 1 (cos x))> |
#<alt (+ 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt -2> |
#<alt (- (* -1/6 (pow x 2)) 2)> |
#<alt (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (* 1/2 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/ -1 (/ (* x x) (+ (cos x) -1))) |
| 1.0ms | x | @ | inf | (/ (* (sin x) (tan (/ x 2))) (* x x)) |
| 1.0ms | x | @ | -inf | (/ (* (sin x) (tan (/ x 2))) (* x x)) |
| 1.0ms | x | @ | inf | (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) |
| 1.0ms | x | @ | -inf | (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) |
| 1× | batch-egg-rewrite |
| 4214× | *-lowering-*.f32 |
| 4214× | *-lowering-*.f64 |
| 3570× | /-lowering-/.f32 |
| 3570× | /-lowering-/.f64 |
| 1792× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 101 |
| 1 | 155 | 96 |
| 2 | 1175 | 94 |
| 0 | 8979 | 94 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (sin x) (tan (/ x 2))) (* x x)) |
(* (sin x) (tan (/ x 2))) |
(sin x) |
(tan (/ x 2)) |
(/ (/ (+ 1 (cos x)) x) x) |
(/ (+ 1 (cos x)) x) |
(+ 1 (cos x)) |
(cos x) |
(/ -1 (/ (* x x) (+ (cos x) -1))) |
(/ (* x x) (+ (cos x) -1)) |
(* x x) |
(+ (cos x) -1) |
(/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) |
(/ (- (* x x) (* x (* x (cos x)))) (* x x)) |
(- (* x x) (* x (* x (cos x)))) |
(* x (cos x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(neg.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) x)) x)) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) x) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x))) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(sin.f64 x) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) x) x)) |
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(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) |
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) x) x))) |
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x))))) (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x))))))) (-.f64 (*.f64 x x) (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x))))))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x))))) (-.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x))))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x (cos.f64 x))) #s(literal 3 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) (/.f64 (pow.f64 (*.f64 x (*.f64 x (cos.f64 x))) #s(literal 3 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))) (/.f64 (pow.f64 (*.f64 x (*.f64 x (cos.f64 x))) #s(literal 3 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)))) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))) (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) x) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64)) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))) (-.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))) (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x)))) (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))))) |
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x))))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) x) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
(*.f64 x (cos.f64 x)) |
(*.f64 (cos.f64 x) x) |
(*.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 3958× | *-lowering-*.f32 |
| 3958× | *-lowering-*.f64 |
| 3392× | +-lowering-+.f64 |
| 3392× | +-lowering-+.f32 |
| 1790× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 1550 |
| 1 | 391 | 1312 |
| 2 | 1089 | 1306 |
| 3 | 3587 | 1306 |
| 4 | 6520 | 1306 |
| 0 | 8057 | 1306 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 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)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* -1/2 (pow x 2))) (pow x 2)) |
(/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/ 2 x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/ (+ 1 (cos x)) x) |
(/ (+ 1 (cos x)) x) |
(/ (+ 1 (cos x)) x) |
(/ (+ 1 (cos x)) x) |
(/ (+ 1 (cos x)) x) |
(/ (+ 1 (cos x)) x) |
(/ (+ 1 (cos x)) x) |
(/ (+ 1 (cos x)) x) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+ 1 (cos x)) |
(+ 1 (cos x)) |
(+ 1 (cos x)) |
(+ 1 (cos x)) |
(+ 1 (cos x)) |
(+ 1 (cos x)) |
(+ 1 (cos x)) |
(+ 1 (cos x)) |
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))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
-2 |
(- (* -1/6 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (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 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 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))) |
(/ (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))) |
(/ (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))) |
(/ (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))) |
(/ (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))) |
(/ (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))) |
(/ (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))) |
(/ (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))) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (+ 2 (* -1/2 (pow x 2))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x)) |
(/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x x)) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))) (*.f64 x x)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (cos x)) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* -1/2 (pow x 2))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x) |
(/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))) x) |
(/ (+ 1 (cos x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (cos x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (cos x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (cos x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (cos x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (cos x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (cos x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (cos x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
-2 |
#s(literal -2 binary64) |
(- (* -1/6 (pow x 2)) 2) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/3024 binary64)))))) #s(literal -2 binary64)) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/40320 binary64))))))))) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(* 1/2 (pow x 4)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
Compiled 24521 to 2567 computations (89.5% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1088 | 12 | 1100 |
| Fresh | 7 | 5 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1097 | 21 | 1118 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 26.2% | (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) (*.f64 x x)) |
| 48.0% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| ✓ | 26.2% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
| ▶ | 48.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ▶ | 99.8% | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
| 29.1% | (/.f64 (/.f64 #s(literal 2 binary64) x) x) | |
| 20.0% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) | |
| ✓ | 47.8% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.8% | (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) | |
| ▶ | 29.2% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 47.7% | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) | |
| ✓ | 47.8% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
| 48.6% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) x)) | |
| ▶ | 47.8% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))) |
| 54.2% | (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) | |
| 48.4% | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) | |
| 54.6% | (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) | |
| 48.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| 48.8% | (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)) | |
| 14.8% | (*.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) | |
| ✓ | 55.1% | #s(literal 1/2 binary64) |
Compiled 471 to 287 computations (39.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
| ✓ | cost-diff | 512 | (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) |
| ✓ | cost-diff | 512 | (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 x) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 x) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
| 2296× | *-lowering-*.f32 |
| 2296× | *-lowering-*.f64 |
| 2292× | /-lowering-/.f32 |
| 2292× | /-lowering-/.f64 |
| 1708× | --lowering--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 129 |
| 1 | 57 | 127 |
| 2 | 136 | 124 |
| 3 | 563 | 123 |
| 4 | 2100 | 123 |
| 5 | 4985 | 123 |
| 0 | 8119 | 123 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (sin x) x) (/ x (tan (/ x 2)))) |
(/ (sin x) x) |
(sin x) |
x |
(/ x (tan (/ x 2))) |
(tan (/ x 2)) |
(/ x 2) |
2 |
(/ 2 (* x x)) |
2 |
(* x x) |
x |
(/ (/ (- 1 (cos x)) x) x) |
(/ (- 1 (cos x)) x) |
(- 1 (cos x)) |
1 |
(cos x) |
x |
(/ -1 (* (/ 1 (+ (cos x) -1)) (* x x))) |
-1 |
(* (/ 1 (+ (cos x) -1)) (* x x)) |
(/ 1 (+ (cos x) -1)) |
1 |
(+ (cos x) -1) |
(cos x) |
x |
(* x x) |
(/ (/ (/ (* (* x x) (- 1 (cos x))) x) x) (* x x)) |
(/ (/ (* (* x x) (- 1 (cos x))) x) x) |
(/ (* (* x x) (- 1 (cos x))) x) |
(* (* x x) (- 1 (cos x))) |
(* x x) |
x |
(- 1 (cos x)) |
1 |
(cos x) |
| Outputs |
|---|
(/ (/ (sin x) x) (/ x (tan (/ x 2)))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
x |
(/ x (tan (/ x 2))) |
(/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(tan (/ x 2)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ 2 (* x x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
(* x x) |
(*.f64 x x) |
x |
(/ (/ (- 1 (cos x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
x |
(/ -1 (* (/ 1 (+ (cos x) -1)) (* x x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
-1 |
#s(literal -1 binary64) |
(* (/ 1 (+ (cos x) -1)) (* x x)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ 1 (+ (cos x) -1)) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ (cos x) -1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos x) |
(cos.f64 x) |
x |
(* x x) |
(*.f64 x x) |
(/ (/ (/ (* (* x x) (- 1 (cos x))) x) x) (* x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/ (/ (* (* x x) (- 1 (cos x))) x) x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/ (* (* x x) (- 1 (cos x))) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (* x x) (- 1 (cos x))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(* x x) |
(*.f64 x x) |
x |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(cos x) |
(cos.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 91.4% | (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) |
| ✓ | accuracy | 76.0% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
| ✓ | accuracy | 75.9% | (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) (*.f64 x x)) |
| ✓ | accuracy | 74.0% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))) |
| ✓ | accuracy | 74.0% | (+.f64 (cos.f64 x) #s(literal -1 binary64)) |
| ✓ | accuracy | 73.8% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| ✓ | accuracy | 76.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
| ✓ | accuracy | 74.0% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 (sin.f64 x) x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.8% | (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
| 65.0ms | 61× | 2 | valid |
| 48.0ms | 121× | 0 | valid |
| 42.0ms | 74× | 1 | valid |
Compiled 163 to 25 computations (84.7% saved)
ival-div: 32.0ms (31% of total)ival-cos: 26.0ms (25.2% of total)ival-mult: 13.0ms (12.6% of total)backward-pass: 9.0ms (8.7% of total)ival-sin: 9.0ms (8.7% of total)ival-tan: 7.0ms (6.8% of total)ival-sub: 3.0ms (2.9% of total)ival-add: 2.0ms (1.9% of total)const: 1.0ms (1% of total)| Inputs |
|---|
#<alt (/ (/ (sin x) x) (/ x (tan (/ x 2))))> |
#<alt (/ (sin x) x)> |
#<alt (sin x)> |
#<alt (/ x (tan (/ x 2)))> |
#<alt (/ 2 (* x x))> |
#<alt (* x x)> |
#<alt (/ (/ (- 1 (cos x)) x) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (- 1 (cos x))> |
#<alt (cos x)> |
#<alt (/ -1 (* (/ 1 (+ (cos x) -1)) (* x x)))> |
#<alt (* (/ 1 (+ (cos x) -1)) (* x x))> |
#<alt (/ 1 (+ (cos x) -1))> |
#<alt (+ (cos x) -1)> |
#<alt (/ (/ (/ (* (* x x) (- 1 (cos x))) x) x) (* x x))> |
#<alt (/ (/ (* (* x x) (- 1 (cos x))) x) x)> |
#<alt (/ (* (* x x) (- 1 (cos x))) x)> |
#<alt (* (* x x) (- 1 (cos x)))> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt 2> |
#<alt (+ 2 (* -1/6 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))> |
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6)))> |
#<alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))> |
#<alt -2> |
#<alt (- (* -1/6 (pow x 2)) 2)> |
#<alt (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2)> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2)> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ (pow x 2) (- (cos x) 1))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ (- (* -1/6 (pow x 2)) 2) (pow x 2))> |
#<alt (/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) (pow x 2))> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) (pow x 2))> |
#<alt (/ 1 (- (cos x) 1))> |
#<alt (/ 1 (- (cos x) 1))> |
#<alt (/ 1 (- (cos x) 1))> |
#<alt (/ 1 (- (cos x) 1))> |
#<alt (/ 1 (- (cos x) 1))> |
#<alt (/ 1 (- (cos x) 1))> |
#<alt (/ 1 (- (cos x) 1))> |
#<alt (/ 1 (- (cos x) 1))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* x (- 1 (cos x)))> |
#<alt (* 1/2 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
#<alt (* (pow x 2) (- 1 (cos x)))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (/ (* (* x x) (- 1 (cos x))) x) |
| 1.0ms | x | @ | inf | (/ x (tan (/ x 2))) |
| 1.0ms | x | @ | -inf | (/ x (tan (/ x 2))) |
| 1.0ms | x | @ | -inf | (/ (sin x) x) |
| 1.0ms | x | @ | -inf | (/ (- 1 (cos x)) x) |
| 1× | batch-egg-rewrite |
| 4360× | /-lowering-/.f32 |
| 4360× | /-lowering-/.f64 |
| 4302× | *-lowering-*.f32 |
| 4302× | *-lowering-*.f64 |
| 946× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 99 |
| 1 | 155 | 97 |
| 2 | 1115 | 94 |
| 0 | 8645 | 94 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (sin x) x) (/ x (tan (/ x 2)))) |
(/ (sin x) x) |
(sin x) |
(/ x (tan (/ x 2))) |
(/ 2 (* x x)) |
(* x x) |
(/ (/ (- 1 (cos x)) x) x) |
(/ (- 1 (cos x)) x) |
(- 1 (cos x)) |
(cos x) |
(/ -1 (* (/ 1 (+ (cos x) -1)) (* x x))) |
(* (/ 1 (+ (cos x) -1)) (* x x)) |
(/ 1 (+ (cos x) -1)) |
(+ (cos x) -1) |
(/ (/ (/ (* (* x x) (- 1 (cos x))) x) x) (* x x)) |
(/ (/ (* (* x x) (- 1 (cos x))) x) x) |
(/ (* (* x x) (- 1 (cos x))) x) |
(* (* x x) (- 1 (cos x))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 x (sin.f64 x)))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 x (sin.f64 x)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 x (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) x) (*.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) x) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 x (sin.f64 x)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x (sin.f64 x))) x) |
(/.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) x)) (neg.f64 (*.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) x) |
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
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(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(+.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 x x) (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 x x) (*.f64 x (neg.f64 (*.f64 (cos.f64 x) x)))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)) x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))) (*.f64 x x)) |
(+.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(fma.f64 x x (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)))) |
(fma.f64 x x (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(neg.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (-.f64 #s(literal -1 binary64) (cos.f64 x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (cos.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))) (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))) (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))))) (-.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) (-.f64 (*.f64 x x) (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (-.f64 #s(literal -1 binary64) (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x x)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 4012× | +-lowering-+.f64 |
| 4012× | +-lowering-+.f32 |
| 3840× | *-lowering-*.f32 |
| 3840× | *-lowering-*.f64 |
| 1742× | sum4-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1635 |
| 1 | 396 | 1398 |
| 2 | 1071 | 1391 |
| 3 | 3430 | 1381 |
| 4 | 7046 | 1381 |
| 0 | 8061 | 1381 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
2 |
(+ 2 (* -1/6 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
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))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
-2 |
(- (* -1/6 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ (pow x 2) (- (cos x) 1)) |
(/ -2 (pow x 2)) |
(/ (- (* -1/6 (pow x 2)) 2) (pow x 2)) |
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) (pow x 2)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) (pow x 2)) |
(/ 1 (- (cos x) 1)) |
(/ 1 (- (cos x) 1)) |
(/ 1 (- (cos x) 1)) |
(/ 1 (- (cos x) 1)) |
(/ 1 (- (cos x) 1)) |
(/ 1 (- (cos x) 1)) |
(/ 1 (- (cos x) 1)) |
(/ 1 (- (cos x) 1)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (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 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* x (- 1 (cos x))) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
(* (pow x 2) (- 1 (cos x))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))))))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/6 (pow x 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64)))))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/15120 binary64)))))))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) |
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))))))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))))) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))))))) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* -1 (/ (- (cos x) 1) (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
-2 |
#s(literal -2 binary64) |
(- (* -1/6 (pow x 2)) 2) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/3024 binary64)))))))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ (pow x 2) (- (cos x) 1)) |
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ (- (* -1/6 (pow x 2)) 2) (pow x 2)) |
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/ (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 2) (pow x 2)) |
(+.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3024 (pow x 2)) 1/120)) 1/6)) 2) (pow x 2)) |
(+.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/3024 binary64)))))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/ 1 (- (cos x) 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ 1 (- (cos x) 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ 1 (- (cos x) 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ 1 (- (cos x) 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ 1 (- (cos x) 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ 1 (- (cos x) 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ 1 (- (cos x) 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/ 1 (- (cos x) 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/40320 binary64))))))))) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))))))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(* 1/2 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))))))))) |
(* x (- 1 (cos x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* x (- 1 (cos x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* x (- 1 (cos x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* x (- 1 (cos x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* x (- 1 (cos x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* x (- 1 (cos x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* x (- 1 (cos x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* x (- 1 (cos x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* 1/2 (pow x 4)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x #s(literal -1/40320 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* (pow x 2) (- 1 (cos x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
Compiled 47672 to 5159 computations (89.2% saved)
23 alts after pruning (16 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2373 | 9 | 2382 |
| Fresh | 5 | 7 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2380 | 23 | 2403 |
| Status | Accuracy | Program |
|---|---|---|
| 48.0% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| ✓ | 26.2% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
| 47.8% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) | |
| ✓ | 48.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 26.8% | (/.f64 (/.f64 (+.f64 x (*.f64 (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))) x) (*.f64 x x)) | |
| ✓ | 99.8% | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
| ▶ | 29.1% | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| ▶ | 48.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
| ▶ | 47.9% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x x))) x) |
| 48.7% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) | |
| ✓ | 47.8% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 99.8% | (/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
| 29.2% | (/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 29.2% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | 47.8% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
| 48.6% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) x)) | |
| 54.2% | (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) | |
| ▶ | 54.6% | (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
| 48.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| 29.1% | (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) | |
| 41.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| 14.8% | (*.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) | |
| ✓ | 55.1% | #s(literal 1/2 binary64) |
Compiled 464 to 289 computations (37.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x x)) |
| ✓ | cost-diff | 384 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x x))) |
| ✓ | cost-diff | 384 | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| ✓ | cost-diff | 0 | (tan.f64 (/.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
| 1928× | fnmadd-define |
| 1608× | fma-define |
| 1516× | sum5-define |
| 1278× | *-lowering-*.f32 |
| 1278× | *-lowering-*.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 145 |
| 1 | 70 | 136 |
| 2 | 191 | 132 |
| 3 | 416 | 129 |
| 4 | 886 | 129 |
| 5 | 2541 | 129 |
| 6 | 5131 | 129 |
| 0 | 8048 | 129 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (/ (tan (/ x 2)) x) (sin x)) x) |
(* (/ (tan (/ x 2)) x) (sin x)) |
(/ (tan (/ x 2)) x) |
(tan (/ x 2)) |
(/ x 2) |
x |
2 |
(sin x) |
(/ (/ 2 x) x) |
(/ 2 x) |
2 |
x |
(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))) |
1/2 |
(* (* x x) (+ -1/24 (* (* x x) 1/720))) |
(* x x) |
x |
(+ -1/24 (* (* x x) 1/720)) |
-1/24 |
(* (* x x) 1/720) |
1/720 |
(/ (/ 1 x) (/ x (- 1 (cos x)))) |
(/ 1 x) |
1 |
x |
(/ x (- 1 (cos x))) |
(- 1 (cos x)) |
(cos x) |
(/ (- (/ 1 x) (/ (* x (cos x)) (* x x))) x) |
(- (/ 1 x) (/ (* x (cos x)) (* x x))) |
(/ 1 x) |
1 |
x |
(/ (* x (cos x)) (* x x)) |
(* x (cos x)) |
(cos x) |
(* x x) |
| Outputs |
|---|
(/ (* (/ (tan (/ x 2)) x) (sin x)) x) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) x) |
(* (/ (tan (/ x 2)) x) (sin x)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) |
(/ (tan (/ x 2)) x) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(tan (/ x 2)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ x 2) |
(/.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(sin x) |
(sin.f64 x) |
(/ (/ 2 x) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) (+ -1/24 (* (* x x) 1/720))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(* x x) |
(*.f64 x x) |
x |
(+ -1/24 (* (* x x) 1/720)) |
(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
-1/24 |
#s(literal -1/24 binary64) |
(* (* x x) 1/720) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
1/720 |
#s(literal 1/720 binary64) |
(/ (/ 1 x) (/ x (- 1 (cos x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ x (- 1 (cos x))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(/ (- (/ 1 x) (/ (* x (cos x)) (* x x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(- (/ 1 x) (/ (* x (cos x)) (* x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ (* x (cos x)) (* x x)) |
(/.f64 (cos.f64 x) x) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(* x x) |
(*.f64 x x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x x))) x) |
| ✓ | accuracy | 99.9% | (*.f64 x (cos.f64 x)) |
| ✓ | accuracy | 55.9% | (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x x)) |
| ✓ | accuracy | 49.5% | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
| ✓ | accuracy | 76.3% | (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
| ✓ | accuracy | 74.0% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
| ✓ | accuracy | 99.8% | (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) |
| 80.0ms | 75× | 2 | valid |
| 47.0ms | 121× | 0 | valid |
| 39.0ms | 22× | 3 | valid |
| 27.0ms | 38× | 1 | valid |
Compiled 167 to 29 computations (82.6% saved)
ival-cos: 32.0ms (24.4% of total)ival-div: 30.0ms (22.9% of total)ival-mult: 18.0ms (13.7% of total)backward-pass: 14.0ms (10.7% of total)...c/correct-round.rkt:119:19: 11.0ms (8.4% of total)ival-tan: 7.0ms (5.3% of total)ival-sin: 6.0ms (4.6% of total)ival-sub: 5.0ms (3.8% of total)ival-add: 5.0ms (3.8% of total)const: 1.0ms (0.8% of total)| Inputs |
|---|
#<alt (/ (* (/ (tan (/ x 2)) x) (sin x)) x)> |
#<alt (* (/ (tan (/ x 2)) x) (sin x))> |
#<alt (/ (tan (/ x 2)) x)> |
#<alt (tan (/ x 2))> |
#<alt (/ (/ 2 x) x)> |
#<alt (/ 2 x)> |
#<alt (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))> |
#<alt (* (* x x) (+ -1/24 (* (* x x) 1/720)))> |
#<alt (* x x)> |
#<alt (+ -1/24 (* (* x x) 1/720))> |
#<alt (/ (/ 1 x) (/ x (- 1 (cos x))))> |
#<alt (/ 1 x)> |
#<alt (/ x (- 1 (cos x)))> |
#<alt (- 1 (cos x))> |
#<alt (/ (- (/ 1 x) (/ (* x (cos x)) (* x x))) x)> |
#<alt (- (/ 1 x) (/ (* x (cos x)) (* x x)))> |
#<alt (/ (* x (cos x)) (* x x))> |
#<alt (sin x)> |
#<alt (* (* x x) 1/720)> |
#<alt (cos x)> |
#<alt (* x (cos x))> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))> |
#<alt (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* -1/24 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))> |
#<alt (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))> |
#<alt (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt -1/24> |
#<alt (- (* 1/720 (pow x 2)) 1/24)> |
#<alt (- (* 1/720 (pow x 2)) 1/24)> |
#<alt (- (* 1/720 (pow x 2)) 1/24)> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 1/6 (pow x 2))) x)> |
#<alt (/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)> |
#<alt (/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x)> |
#<alt (/ x (- 1 (cos x)))> |
#<alt (/ x (- 1 (cos x)))> |
#<alt (/ x (- 1 (cos x)))> |
#<alt (/ x (- 1 (cos x)))> |
#<alt (/ x (- 1 (cos x)))> |
#<alt (/ x (- 1 (cos x)))> |
#<alt (/ x (- 1 (cos x)))> |
#<alt (/ x (- 1 (cos x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (- 1 (cos x)) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (- 1 (cos x)) x)> |
#<alt (/ (+ 1 (* -1 (cos x))) x)> |
#<alt (/ (+ 1 (* -1 (cos x))) x)> |
#<alt (/ (+ 1 (* -1 (cos x))) x)> |
#<alt (/ (+ 1 (* -1 (cos x))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt (/ (cos x) x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
#<alt (* x (cos x))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ (tan (/ x 2)) x) |
| 1.0ms | x | @ | -inf | (/ (- (/ 1 x) (/ (* x (cos x)) (* x x))) x) |
| 1.0ms | x | @ | inf | (/ (- (/ 1 x) (/ (* x (cos x)) (* x x))) x) |
| 1.0ms | x | @ | -inf | (* (/ (tan (/ x 2)) x) (sin x)) |
| 0.0ms | x | @ | -inf | (/ x (- 1 (cos x))) |
| 1× | batch-egg-rewrite |
| 3884× | *-lowering-*.f32 |
| 3884× | *-lowering-*.f64 |
| 3706× | /-lowering-/.f32 |
| 3706× | /-lowering-/.f64 |
| 2006× | --lowering--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 124 |
| 1 | 189 | 110 |
| 2 | 1816 | 108 |
| 0 | 8177 | 108 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (/ (tan (/ x 2)) x) (sin x)) x) |
(* (/ (tan (/ x 2)) x) (sin x)) |
(/ (tan (/ x 2)) x) |
(tan (/ x 2)) |
(/ (/ 2 x) x) |
(/ 2 x) |
(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))) |
(* (* x x) (+ -1/24 (* (* x x) 1/720))) |
(* x x) |
(+ -1/24 (* (* x x) 1/720)) |
(/ (/ 1 x) (/ x (- 1 (cos x)))) |
(/ 1 x) |
(/ x (- 1 (cos x))) |
(- 1 (cos x)) |
(/ (- (/ 1 x) (/ (* x (cos x)) (* x x))) x) |
(- (/ 1 x) (/ (* x (cos x)) (* x x))) |
(/ (* x (cos x)) (* x x)) |
(sin x) |
(* (* x x) 1/720) |
(cos x) |
(* x (cos x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (*.f64 (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64)))) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(pow.f64 (/.f64 x (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) x)) |
(*.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (*.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (sin.f64 x) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(pow.f64 (/.f64 x (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) #s(literal -1 binary64)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x))) |
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)) |
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(pow.f64 (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64)))))) |
(pow.f64 (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
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(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x)))))) |
(/.f64 (cos.f64 x) x) |
(/.f64 (*.f64 x (cos.f64 x)) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (cos.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (cos.f64 x) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 x)) |
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (cos.f64 x) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(*.f64 (cos.f64 x) (/.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 x))) #s(literal -1 binary64))) |
(sin.f64 x) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/720 binary64)) x) |
(cos.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x (cos.f64 x)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (cos.f64 x)))) |
(/.f64 (*.f64 x (cos.f64 x)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 x (cos.f64 x))))) |
(/.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(pow.f64 (/.f64 x (*.f64 x (cos.f64 x))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (cos.f64 x) x)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (cos.f64 x)) |
(*.f64 (cos.f64 x) x) |
| 1× | egg-herbie |
| 3648× | *-lowering-*.f32 |
| 3648× | *-lowering-*.f64 |
| 2652× | +-lowering-+.f64 |
| 2652× | +-lowering-+.f32 |
| 1368× | sum4-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1846 |
| 1 | 387 | 1607 |
| 2 | 1078 | 1601 |
| 3 | 3350 | 1579 |
| 4 | 5865 | 1579 |
| 0 | 8156 | 1579 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) |
(* 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)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))) |
(* -1/24 (pow x 2)) |
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) |
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) |
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-1/24 |
(- (* 1/720 (pow x 2)) 1/24) |
(- (* 1/720 (pow x 2)) 1/24) |
(- (* 1/720 (pow x 2)) 1/24) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 2 x) |
(/ (+ 2 (* 1/6 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x) |
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x) |
(/ x (- 1 (cos x))) |
(/ x (- 1 (cos x))) |
(/ x (- 1 (cos x))) |
(/ x (- 1 (cos x))) |
(/ x (- 1 (cos x))) |
(/ x (- 1 (cos x))) |
(/ x (- 1 (cos x))) |
(/ x (- 1 (cos x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1/2 |
(+ 1/2 (* -1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (- 1 (cos x)) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
(/ (cos x) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
(* x (cos x)) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/24 (pow x 2))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x)))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (- 1 (cos x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (cos x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (- 1 (cos x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ (+ 1 (* -1 (cos x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/2 (pow x 2))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x) |
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
(/ (cos x) x) |
(/.f64 (cos.f64 x) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
x |
(* x (+ 1 (* -1/2 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))))) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
(* x (cos x)) |
(*.f64 x (cos.f64 x)) |
Compiled 28599 to 2741 computations (90.4% saved)
24 alts after pruning (13 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1360 | 4 | 1364 |
| Fresh | 2 | 9 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1363 | 24 | 1387 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 26.2% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
| 47.8% | (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) | |
| ✓ | 48.9% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| 26.8% | (/.f64 (/.f64 (+.f64 x (*.f64 (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))) x) (*.f64 x x)) | |
| ✓ | 99.8% | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
| ✓ | 29.1% | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| 19.8% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))))) x) | |
| ✓ | 48.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
| 48.3% | (/.f64 (-.f64 (/.f64 x (*.f64 x x)) (/.f64 (cos.f64 x) x)) x) | |
| 48.7% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) | |
| 24.1% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x))) x) | |
| ✓ | 47.8% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 99.8% | (/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
| 29.2% | (/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 29.2% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | 47.8% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
| 48.6% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) x)) | |
| 54.2% | (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) | |
| ✓ | 54.6% | (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
| 48.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| 29.1% | (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) | |
| 41.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| 29.1% | (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) | |
| ✓ | 55.1% | #s(literal 1/2 binary64) |
Compiled 751 to 298 computations (60.3% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x))) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 x (*.f64 x x)) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x x))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))))) x) |
(/.f64 (/.f64 (+.f64 x (*.f64 (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))) x) (*.f64 x x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) |
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
| Outputs |
|---|
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
2 calls:
| 13.0ms | x |
| 11.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x))) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 x (*.f64 x x)) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x x))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))))) x) |
(/.f64 (/.f64 (+.f64 x (*.f64 (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))) x) (*.f64 x x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) |
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) |
2 calls:
| 11.0ms | x |
| 10.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x))) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 x (*.f64 x x)) (/.f64 (cos.f64 x) x)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x x))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))))) x) |
(/.f64 (/.f64 (+.f64 x (*.f64 (*.f64 x (*.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))) x) (*.f64 x x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
2 calls:
| 11.0ms | x |
| 9.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 99.0% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x))) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x))) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x))) x) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.0009918727626737223 | 47232.773931805845 |
| 10.0ms | 144× | 0 | valid |
Compiled 238 to 162 computations (31.9% saved)
ival-cos: 2.0ms (39.1% of total)ival-sub: 1.0ms (19.6% of total)ival-div: 1.0ms (19.6% of total)ival-mult: 1.0ms (19.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.0009918727626737223 | 47232.773931805845 |
| 8.0ms | 144× | 0 | valid |
Compiled 238 to 162 computations (31.9% saved)
ival-cos: 2.0ms (39.6% of total)ival-sub: 1.0ms (19.8% of total)ival-div: 1.0ms (19.8% of total)ival-mult: 1.0ms (19.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.0009918727626737223 | 47232.773931805845 |
| 11.0ms | 144× | 0 | valid |
Compiled 211 to 144 computations (31.8% saved)
ival-cos: 4.0ms (55.2% of total)ival-sub: 1.0ms (13.8% of total)ival-div: 1.0ms (13.8% of total)ival-mult: 1.0ms (13.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.0009918727626737223 | 47232.773931805845 |
| 16.0ms | 144× | 0 | valid |
Compiled 157 to 117 computations (25.5% saved)
ival-cos: 9.0ms (72.1% of total)ival-sub: 1.0ms (8% of total)ival-div: 1.0ms (8% of total)ival-mult: 1.0ms (8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.0009918727626737223 | 47232.773931805845 |
| 11.0ms | 144× | 0 | valid |
Compiled 103 to 81 computations (21.4% saved)
ival-cos: 4.0ms (55.9% of total)ival-sub: 1.0ms (14% of total)ival-div: 1.0ms (14% of total)ival-mult: 1.0ms (14% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 121 |
| 1 | 51 | 121 |
| 2 | 55 | 121 |
| 3 | 57 | 121 |
| 4 | 58 | 121 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) |
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x) |
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) |
(if (<=.f64 x #s(literal 1152921504606847/36028797018963968 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(literal 1/2 binary64) |
| 4214× | *-lowering-*.f32 |
| 4214× | *-lowering-*.f64 |
| 3958× | *-lowering-*.f32 |
| 3958× | *-lowering-*.f64 |
| 3570× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 1550 |
| 1 | 391 | 1312 |
| 2 | 1089 | 1306 |
| 3 | 3587 | 1306 |
| 4 | 6520 | 1306 |
| 0 | 8057 | 1306 |
| 0 | 42 | 278 |
| 1 | 113 | 224 |
| 2 | 316 | 224 |
| 3 | 821 | 224 |
| 4 | 1931 | 224 |
| 5 | 2947 | 224 |
| 6 | 3532 | 224 |
| 7 | 4854 | 224 |
| 0 | 8003 | 224 |
| 0 | 6 | 15 |
| 1 | 37 | 15 |
| 2 | 270 | 15 |
| 3 | 2919 | 15 |
| 0 | 8614 | 15 |
| 0 | 22 | 101 |
| 1 | 155 | 96 |
| 2 | 1175 | 94 |
| 0 | 8979 | 94 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 251 to 126 computations (49.8% saved)
(abs x)
Compiled 286 to 106 computations (62.9% saved)
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