Time bar (total: 2.5min)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 5 |
| 18.8% | 18.7% | 81.2% | 0.1% | 0% | 0% | 0% | 6 |
| 21.9% | 21.9% | 78% | 0.1% | 0% | 0% | 0% | 7 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 8 |
| 24.2% | 24.2% | 75.7% | 0.1% | 0% | 0% | 0% | 9 |
| 24.6% | 24.6% | 75.3% | 0.1% | 0% | 0% | 0% | 10 |
| 24.8% | 24.8% | 75.1% | 0.1% | 0% | 0% | 0% | 11 |
| 24.9% | 24.9% | 75% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 10.8s | 3651× | body | 1024 | valid |
| 7.5s | 1274× | body | 2048 | valid |
| 3.3s | 1372× | body | 512 | valid |
| 2.1s | 1958× | body | 256 | valid |
| 2.0ms | 1× | body | 4096 | valid |
| 2× | egg-herbie |
| 2× | rational_best-simplify-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 14 | 42 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps)) |
| Outputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 eps)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 2× | rational_best-simplify-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 10 | 21 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Outputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 9 to 6 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 36.1b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 9 to 6 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| ✓ | 3.1b | (tan.f64 (+.f64 x eps)) |
Compiled 20 to 6 computations (70% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | eps | @ | -inf | (tan.f64 (+.f64 x eps)) |
| 2.0ms | x | @ | inf | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 2.0ms | x | @ | 0 | (tan.f64 (+.f64 x eps)) |
| 2.0ms | eps | @ | 0 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 2.0ms | eps | @ | inf | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 1044× | rational_best-simplify-83 |
| 668× | rational_best-simplify-48 |
| 656× | rational_best-simplify-52 |
| 648× | rational_best-simplify-51 |
| 626× | rational_best-simplify-57 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 57 | 32 |
| 2 | 114 | 32 |
| 3 | 315 | 32 |
| 4 | 1228 | 32 |
| 1× | node limit |
| Inputs |
|---|
(tan.f64 (+.f64 x eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (tan.f64 (+.f64 x eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 3) 2) 2) (/.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 3) 4) (/.f64 (neg.f64 (tan.f64 (+.f64 x eps))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 0 (/.f64 (tan.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (tan.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (tan.f64 (+.f64 x eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (+.f64 x eps)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 x)) (neg.f64 (neg.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (neg.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (*.f64 (tan.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 2) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (/.f64 (tan.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) -2) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) -2) (neg.f64 (-.f64 (/.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) -2) (/.f64 (-.f64 (/.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) -2) (-.f64 (/.f64 (tan.f64 x) -2) (neg.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (neg.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) (/.f64 (/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) (/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (tan.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (neg.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (neg.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (tan.f64 x) 2)) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (neg.f64 (+.f64 (tan.f64 x) (/.f64 (tan.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (/.f64 (tan.f64 x) 2)) (neg.f64 (*.f64 3 (/.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (/.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) -1) (/.f64 (tan.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (/.f64 (tan.f64 (+.f64 x eps)) -2)) -1) (/.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) 4) (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (tan.f64 x)) (-.f64 1 (neg.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) (-.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 x) 4)) (*.f64 (tan.f64 (+.f64 x eps)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) (*.f64 2 (*.f64 (tan.f64 x) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) (+.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (tan.f64 x) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) 4)) (*.f64 2 (*.f64 (tan.f64 x) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))) |
| 1× | egg-herbie |
| 1136× | rational_best-simplify-47 |
| 674× | rational_best-simplify-64 |
| 610× | rational_best-simplify-49 |
| 536× | rational_best-simplify-48 |
| 532× | rational_best-simplify-65 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 307 | 6145 |
| 1 | 783 | 5777 |
| 2 | 1947 | 5609 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (tan.f64 (+.f64 x eps)) 0) |
(+.f64 0 (tan.f64 (+.f64 x eps))) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 3) 2) 2)) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 3) 4)) |
(-.f64 (tan.f64 (+.f64 x eps)) 0) |
(-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (tan.f64 (+.f64 x eps)) -2)) |
(-.f64 (/.f64 (/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 3) 2) 2) (/.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2) 2)) |
(-.f64 (/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 3) 4) (/.f64 (neg.f64 (tan.f64 (+.f64 x eps))) 4)) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 0 (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(*.f64 (tan.f64 (+.f64 x eps)) 1) |
(*.f64 1 (tan.f64 (+.f64 x eps))) |
(*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 1/2)) |
(*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 1/2) |
(*.f64 1/2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) |
(*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) 1/4) |
(*.f64 1/4 (*.f64 (tan.f64 (+.f64 x eps)) 4)) |
(*.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) 1/8) |
(/.f64 (tan.f64 (+.f64 x eps)) 1) |
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 2) |
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4))) 16) |
(pow.f64 (tan.f64 (+.f64 x eps)) 1) |
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) |
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 0) |
(+.f64 0 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
(+.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps))) |
(+.f64 (neg.f64 (tan.f64 x)) (neg.f64 (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(+.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (neg.f64 (tan.f64 (+.f64 x eps)))) |
(+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x))) |
(+.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (*.f64 (tan.f64 x) -2)) |
(+.f64 (/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 2) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -2)) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) (tan.f64 x)) |
(+.f64 (-.f64 (tan.f64 x) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (neg.f64 (tan.f64 x))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (/.f64 (tan.f64 x) -2)) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)))) |
(+.f64 (/.f64 (tan.f64 x) -2) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2))) |
(+.f64 (/.f64 (tan.f64 x) -2) (neg.f64 (-.f64 (/.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))))) |
(+.f64 (/.f64 (tan.f64 x) -2) (/.f64 (-.f64 (/.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) -1)) |
(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 (/.f64 (tan.f64 x) -2) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (neg.f64 (neg.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (tan.f64 x))) |
(+.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) (/.f64 (/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 2) 2)) |
(+.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) (/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 4)) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (neg.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2))) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x))) |
(+.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (tan.f64 x) 2)) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)))) |
(+.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (neg.f64 (+.f64 (tan.f64 x) (/.f64 (tan.f64 (+.f64 x eps)) 2)))) |
(+.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (/.f64 (tan.f64 x) 2)) (neg.f64 (*.f64 3 (/.f64 (tan.f64 x) 2)))) |
(+.f64 (/.f64 (-.f64 (/.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) -1) (/.f64 (tan.f64 x) -2)) |
(+.f64 (/.f64 (+.f64 (tan.f64 x) (/.f64 (tan.f64 (+.f64 x eps)) -2)) -1) (/.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2) -1)) |
(+.f64 (/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) 4) (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (tan.f64 x)) 4)) |
(+.f64 (-.f64 -1 (tan.f64 x)) (-.f64 1 (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) (-.f64 1 (tan.f64 x))) |
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(*.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
(*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1) |
(*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2)) |
(*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) 1/2) |
(*.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
(*.f64 1/2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 1/4) |
(*.f64 1/4 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) |
(*.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) 1/8) |
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(/.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) 2) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 4) |
(/.f64 (*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2) -2) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) 8) |
(/.f64 (-.f64 0 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) -4) |
(/.f64 (/.f64 (-.f64 0 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) -1) 4) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4))) 16) |
(/.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 x) 4)) (*.f64 (tan.f64 (+.f64 x eps)) 4)) 4) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) (*.f64 2 (*.f64 (tan.f64 x) 4))) 8) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) (+.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) 4))) 4) |
(/.f64 (-.f64 (*.f64 2 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (tan.f64 x) 4)) 2) |
(/.f64 (-.f64 (+.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) 4)) (*.f64 2 (*.f64 (tan.f64 x) 4))) 4) |
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(neg.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
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(+.f64 (neg.f64 (tan.f64 x)) (neg.f64 (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (neg.f64 (tan.f64 (+.f64 x eps)))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (*.f64 (tan.f64 x) -2)) |
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (*.f64 -2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (*.f64 -2 (tan.f64 x)) (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 x) (*.f64 -2 (tan.f64 x)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 2) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -2)) |
(+.f64 (/.f64 (*.f64 3 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2) (/.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) -2)) |
(/.f64 (+.f64 (*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) -3) (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 2) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) (tan.f64 x)) |
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (*.f64 -2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (*.f64 -2 (tan.f64 x)) (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 x) (*.f64 -2 (tan.f64 x)))) |
(+.f64 (-.f64 (tan.f64 x) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (neg.f64 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (/.f64 (tan.f64 x) -2)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (/.f64 (tan.f64 x) -2) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (/.f64 (tan.f64 x) -2) (neg.f64 (-.f64 (/.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (/.f64 (tan.f64 x) -2) (/.f64 (-.f64 (/.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) -1)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 (/.f64 (tan.f64 x) -2) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (neg.f64 (neg.f64 (tan.f64 (+.f64 x eps)))) (neg.f64 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) (/.f64 (/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 2) 2)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) (/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 4)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (neg.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (tan.f64 x) 2)) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (neg.f64 (+.f64 (tan.f64 x) (/.f64 (tan.f64 (+.f64 x eps)) 2)))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (/.f64 (tan.f64 x) 2)) (neg.f64 (*.f64 3 (/.f64 (tan.f64 x) 2)))) |
(-.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (/.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) 3/2))) |
(-.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (*.f64 (/.f64 (tan.f64 x) 2) 4)) |
(+.f64 (/.f64 (-.f64 (/.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) -1) (/.f64 (tan.f64 x) -2)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (/.f64 (+.f64 (tan.f64 x) (/.f64 (tan.f64 (+.f64 x eps)) -2)) -1) (/.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2) -1)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) 4) (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (tan.f64 x)) 4)) |
(/.f64 (+.f64 (-.f64 (*.f64 2 (tan.f64 (+.f64 eps x))) (tan.f64 x)) (-.f64 (*.f64 2 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (tan.f64 x))) 4) |
(+.f64 (-.f64 -1 (tan.f64 x)) (-.f64 1 (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) (-.f64 1 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) 1/2) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 1/2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 1/4) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 1/4 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) 1/8) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) 2) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 4) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2) -2) |
(/.f64 (*.f64 2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) -2) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) 8) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 0 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) -4) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (/.f64 (-.f64 0 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) -1) 4) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4))) 16) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 x) 4)) (*.f64 (tan.f64 (+.f64 x eps)) 4)) 4) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) (*.f64 2 (*.f64 (tan.f64 x) 4))) 8) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) (+.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) 4))) 4) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 2 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (tan.f64 x) 4)) 2) |
(/.f64 (-.f64 (*.f64 2 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (*.f64 4 (tan.f64 x))) 2) |
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (*.f64 (*.f64 4 (tan.f64 x)) 1) 4)) |
(/.f64 (-.f64 (+.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) 4)) (*.f64 2 (*.f64 (tan.f64 x) 4))) 4) |
(/.f64 (-.f64 (*.f64 2 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (*.f64 4 (tan.f64 x))) 2) |
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (*.f64 (*.f64 4 (tan.f64 x)) 1) 4)) |
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(neg.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
Compiled 4896 to 2719 computations (44.5% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 23 | 157 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 134 | 24 | 158 |
| Status | Error | Program |
|---|---|---|
| 36.4b | (/.f64 (+.f64 (*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) -3) (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) 2) | |
| ▶ | 36.2b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 61.0b | (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) | |
| 36.6b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) | |
| 53.5b | (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))) (tan.f64 x)) | |
| ✓ | 36.1b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 28.8b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2)))) (cos.f64 eps))) | |
| ▶ | 26.8b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
| 28.8b | (+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) | |
| 36.1b | (+.f64 (/.f64 (tan.f64 x) -2) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2))) | |
| 36.2b | (+.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (/.f64 (tan.f64 x) 2)) (neg.f64 (*.f64 3 (/.f64 (tan.f64 x) 2)))) | |
| 36.4b | (+.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (neg.f64 (+.f64 (tan.f64 x) (/.f64 (tan.f64 (+.f64 x eps)) 2)))) | |
| 36.1b | (+.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (tan.f64 x) 2)) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)))) | |
| 36.1b | (+.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (neg.f64 (tan.f64 (+.f64 x eps)))) | |
| 44.0b | (+.f64 (-.f64 -1 (tan.f64 x)) (-.f64 1 (neg.f64 (tan.f64 (+.f64 x eps))))) | |
| ▶ | 44.0b | (+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) (-.f64 1 (tan.f64 x))) |
| 31.2b | (+.f64 (+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (*.f64 (pow.f64 eps 3) (neg.f64 (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/6 (pow.f64 (cos.f64 x) 2))))))))) | |
| 31.3b | (+.f64 (+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (*.f64 -1 (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/6 (pow.f64 (cos.f64 x) 2))))))) (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/6 (pow.f64 (cos.f64 x) 2))))))) (cos.f64 x)) (*.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) -1/3)) (pow.f64 eps 4))))) | |
| ▶ | 36.3b | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)))) |
| ▶ | 36.2b | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) (tan.f64 x)) |
| 36.2b | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (*.f64 (tan.f64 x) -2)) | |
| 36.1b | (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) | |
| 31.1b | (+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) | |
| 30.7b | (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
Compiled 1497 to 986 computations (34.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
| ✓ | 0.2b | (pow.f64 (sin.f64 eps) 2) |
| ✓ | 0.2b | (pow.f64 (cos.f64 eps) 2) |
| ✓ | 2.9b | (*.f64 (pow.f64 (sin.f64 eps) 2) x) |
Compiled 56 to 26 computations (53.6% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | 0 | (*.f64 (pow.f64 (sin.f64 eps) 2) x) |
| 3.0ms | eps | @ | -inf | (*.f64 (pow.f64 (sin.f64 eps) 2) x) |
| 1.0ms | eps | @ | inf | (*.f64 (pow.f64 (sin.f64 eps) 2) x) |
| 1.0ms | eps | @ | inf | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
| 1.0ms | eps | @ | -inf | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
| 1× | batch-egg-rewrite |
| 1274× | rational_best-4 |
| 1274× | rational_best-2 |
| 1274× | rational_best-3 |
| 1274× | rational_best-1 |
| 1274× | exponential-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 54 |
| 1 | 83 | 54 |
| 2 | 199 | 54 |
| 3 | 626 | 54 |
| 4 | 2856 | 54 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (sin.f64 eps) 2) x) |
(pow.f64 (cos.f64 eps) 2) |
(pow.f64 (sin.f64 eps) 2) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (sin.f64 eps) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 2) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 2) (/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 4) (*.f64 x 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 eps) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (cos.f64 eps) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) 2) (/.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cos.f64 eps) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (cos.f64 eps) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 (*.f64 2 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (cos.f64 eps)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (cos.f64 eps) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (cos.f64 eps) 2) 4)) 8))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (sin.f64 eps) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 eps) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 2) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 eps) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (sin.f64 eps) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 (*.f64 (sin.f64 eps) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 eps) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (sin.f64 eps) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 2) 4)) 8))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (sin.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) (+.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 0) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) (sin.f64 0)) (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) 2) (/.f64 (*.f64 3/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) (/.f64 (*.f64 (sin.f64 eps) 3) (*.f64 (cos.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (/.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 eps) 3) (*.f64 (cos.f64 eps) 4)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 0) 2) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (neg.f64 (*.f64 (cos.f64 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(/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 2) (/.f64 1/2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 2) (-.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1/2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 4) (/.f64 1 (*.f64 (cos.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 4) (-.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 1 (*.f64 (cos.f64 eps) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) 2) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 eps)) (*.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 eps)) (*.f64 (cos.f64 eps) (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) 4) (*.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (*.f64 (sin.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (-.f64 (*.f64 2 (*.f64 (sin.f64 eps) 4)) (*.f64 (sin.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sin.f64 eps) 4)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 eps) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sin.f64 eps) 4)) (-.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 eps) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 eps))) (/.f64 1 (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (cos.f64 eps) 2)) (/.f64 1 (/.f64 2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (cos.f64 eps) 4))) (*.f64 2 (*.f64 (sin.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cos.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (cos.f64 eps))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (/.f64 1 (cos.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) 2)) (/.f64 (/.f64 1/2 (cos.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps))) (/.f64 1/2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) 4)) (/.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cos.f64 eps)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (cos.f64 eps)) (cos.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (cos.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))))))) |
| 1× | egg-herbie |
| 1288× | rational_best-simplify-55 |
| 1188× | rational_best-simplify-49 |
| 1130× | rational_best-simplify-53 |
| 782× | rational_best-simplify-1 |
| 566× | rational_best-simplify-64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 293 | 2850 |
| 1 | 696 | 2832 |
| 2 | 2075 | 2772 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 eps 2) x) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 4) x)) (*.f64 (pow.f64 eps 2) x)) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 4) x)) (+.f64 (*.f64 2/45 (*.f64 (pow.f64 eps 6) x)) (*.f64 (pow.f64 eps 2) x))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 4) x)) (+.f64 (*.f64 2/45 (*.f64 (pow.f64 eps 6) x)) (+.f64 (*.f64 -1/315 (*.f64 (pow.f64 eps 8) x)) (*.f64 (pow.f64 eps 2) x)))) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 eps 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 4)))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6))))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/315 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6))))) |
eps |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5)))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 0) |
(+.f64 0 (*.f64 (pow.f64 (sin.f64 eps) 2) x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 2) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 2)) |
(-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 0) |
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 2) (/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x)) 2)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x x)) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 4)) 4) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 4))) 8) |
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 4) (*.f64 x 4)) 16) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) |
(+.f64 (pow.f64 (cos.f64 eps) 2) 0) |
(+.f64 0 (pow.f64 (cos.f64 eps) 2)) |
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) 2)) |
(-.f64 (pow.f64 (cos.f64 eps) 2) 0) |
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) 2) (/.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) 2)) |
(*.f64 (pow.f64 (cos.f64 eps) 2) 1) |
(*.f64 1 (pow.f64 (cos.f64 eps) 2)) |
(*.f64 (*.f64 2 (pow.f64 (cos.f64 eps) 2)) 1/2) |
(*.f64 1/2 (*.f64 2 (pow.f64 (cos.f64 eps) 2))) |
(*.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 4) 1/4) |
(*.f64 1/4 (*.f64 (pow.f64 (cos.f64 eps) 2) 4)) |
(*.f64 1/4 (pow.f64 (*.f64 2 (cos.f64 eps)) 2)) |
(*.f64 (pow.f64 (*.f64 2 (cos.f64 eps)) 2) 1/4) |
(/.f64 (pow.f64 (cos.f64 eps) 2) 1) |
(/.f64 (*.f64 2 (pow.f64 (cos.f64 eps) 2)) 2) |
(/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (cos.f64 eps) 2) 4)) 8) |
(+.f64 (pow.f64 (sin.f64 eps) 2) 0) |
(+.f64 0 (pow.f64 (sin.f64 eps) 2)) |
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) 2)) |
(-.f64 (pow.f64 (sin.f64 eps) 2) 0) |
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 2) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 2)) |
(*.f64 (pow.f64 (sin.f64 eps) 2) 1) |
(*.f64 1 (pow.f64 (sin.f64 eps) 2)) |
(*.f64 (*.f64 2 (pow.f64 (sin.f64 eps) 2)) 1/2) |
(*.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 eps) 2))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 4) 1/4) |
(*.f64 1/4 (*.f64 (pow.f64 (sin.f64 eps) 2) 4)) |
(*.f64 1/4 (pow.f64 (*.f64 (sin.f64 eps) 2) 2)) |
(*.f64 (pow.f64 (*.f64 (sin.f64 eps) 2) 2) 1/4) |
(/.f64 (pow.f64 (sin.f64 eps) 2) 1) |
(/.f64 (*.f64 2 (pow.f64 (sin.f64 eps) 2)) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 2) 4)) 8) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 0)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (sin.f64 0) 2)) |
(+.f64 0 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) (+.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) (sin.f64 0))) |
(+.f64 (sin.f64 0) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) (sin.f64 0)) (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps))) |
(+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) 2) (/.f64 (*.f64 3/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) (/.f64 (*.f64 (sin.f64 eps) 3) (*.f64 (cos.f64 eps) 4))) |
(+.f64 (/.f64 (*.f64 3/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (/.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) 2)) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) 3) (*.f64 (cos.f64 eps) 4)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4))) |
(+.f64 (*.f64 (sin.f64 0) 2) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (sin.f64 0))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (neg.f64 (*.f64 (cos.f64 eps) (sin.f64 0))) (cos.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps))) (cos.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (neg.f64 (sin.f64 0)) 0)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 eps) (sin.f64 0))) (cos.f64 eps)) 0)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps))) (cos.f64 eps)) 0)) |
(-.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) |
(-.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) -2))) |
(-.f64 (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (/.f64 (*.f64 3/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) -2)) 2)) |
(-.f64 (/.f64 (*.f64 3/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (+.f64 (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) -2)) 2) 0)) |
(-.f64 (/.f64 (*.f64 (sin.f64 eps) 3) (*.f64 (cos.f64 eps) 4)) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) 4))) |
(-.f64 (/.f64 (*.f64 (sin.f64 eps) 3) (*.f64 (cos.f64 eps) 4)) (+.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) 4)) 0)) |
(-.f64 (/.f64 (*.f64 (sin.f64 0) (cos.f64 (neg.f64 eps))) (cos.f64 eps)) (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))) |
(-.f64 (/.f64 (*.f64 (sin.f64 0) (cos.f64 (neg.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)) 0)) |
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))) |
(*.f64 2 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps))) |
(*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 eps)))) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(*.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(*.f64 (*.f64 (sin.f64 eps) 2) (/.f64 1/2 (cos.f64 eps))) |
(*.f64 (*.f64 (sin.f64 eps) 2) (-.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1/2 (cos.f64 eps)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) 2) |
(*.f64 (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps)) 1/2) |
(*.f64 (*.f64 (sin.f64 eps) 4) (/.f64 1 (*.f64 (cos.f64 eps) 4))) |
(*.f64 (*.f64 (sin.f64 eps) 4) (-.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 1 (*.f64 (cos.f64 eps) 4)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps))) |
(*.f64 1/2 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps)))) |
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
(*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(*.f64 (/.f64 1 (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) 2) (sin.f64 eps))) |
(*.f64 (/.f64 1/2 (cos.f64 eps)) (*.f64 (sin.f64 eps) 2)) |
(*.f64 (/.f64 1/2 (cos.f64 eps)) (*.f64 (cos.f64 eps) (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps)))) |
(*.f64 (/.f64 1/2 (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) 4) (*.f64 (sin.f64 eps) 2))) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (*.f64 (sin.f64 eps) 4)) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (-.f64 (*.f64 2 (*.f64 (sin.f64 eps) 4)) (*.f64 (sin.f64 eps) 4))) |
(*.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) 1/4) |
(*.f64 (*.f64 2 (*.f64 (sin.f64 eps) 4)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 eps) 4)))) |
(*.f64 (*.f64 2 (*.f64 (sin.f64 eps) 4)) (-.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 eps) 4))))) |
(*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 eps))) (/.f64 1 (/.f64 1 (cos.f64 eps)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (cos.f64 eps) 2)) (/.f64 1 (/.f64 2 (cos.f64 eps)))) |
(*.f64 -2 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) -2))) |
(*.f64 1/4 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4)) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (cos.f64 eps) 4))) (*.f64 2 (*.f64 (sin.f64 eps) 4))) |
(*.f64 (/.f64 1 (/.f64 1 (cos.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 eps)))) |
(*.f64 (/.f64 1 (/.f64 2 (cos.f64 eps))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (cos.f64 eps) 2))) |
(*.f64 (*.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (/.f64 1 (cos.f64 eps)) (cos.f64 eps))) |
(*.f64 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) 2)) (/.f64 (/.f64 1/2 (cos.f64 eps)) (cos.f64 eps))) |
(*.f64 (*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (cos.f64 eps))) |
(*.f64 (*.f64 (cos.f64 eps) (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps))) (/.f64 1/2 (cos.f64 eps))) |
(*.f64 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) 4)) (/.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (cos.f64 eps))) |
(*.f64 (/.f64 (/.f64 1 (cos.f64 eps)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 eps))) |
(*.f64 (/.f64 (/.f64 1/2 (cos.f64 eps)) (cos.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) 2))) |
(*.f64 (/.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (cos.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) 4))) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) |
| Outputs |
|---|
(*.f64 (pow.f64 eps 2) x) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 4) x)) (*.f64 (pow.f64 eps 2) x)) |
(+.f64 (*.f64 (pow.f64 eps 2) x) (*.f64 x (*.f64 -1/3 (pow.f64 eps 4)))) |
(*.f64 x (+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 4) x)) (+.f64 (*.f64 2/45 (*.f64 (pow.f64 eps 6) x)) (*.f64 (pow.f64 eps 2) x))) |
(+.f64 (*.f64 (pow.f64 eps 2) x) (+.f64 (*.f64 x (*.f64 2/45 (pow.f64 eps 6))) (*.f64 x (*.f64 -1/3 (pow.f64 eps 4))))) |
(+.f64 (*.f64 (pow.f64 eps 2) x) (+.f64 (*.f64 x (*.f64 -1/3 (pow.f64 eps 4))) (*.f64 (pow.f64 eps 6) (*.f64 2/45 x)))) |
(+.f64 (*.f64 x (*.f64 -1/3 (pow.f64 eps 4))) (*.f64 x (+.f64 (pow.f64 eps 2) (*.f64 2/45 (pow.f64 eps 6))))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 4) x)) (+.f64 (*.f64 2/45 (*.f64 (pow.f64 eps 6) x)) (+.f64 (*.f64 -1/315 (*.f64 (pow.f64 eps 8) x)) (*.f64 (pow.f64 eps 2) x)))) |
(+.f64 (*.f64 x (*.f64 -1/3 (pow.f64 eps 4))) (+.f64 (*.f64 x (*.f64 2/45 (pow.f64 eps 6))) (+.f64 (*.f64 (pow.f64 eps 2) x) (*.f64 x (*.f64 -1/315 (pow.f64 eps 8)))))) |
(+.f64 (+.f64 (*.f64 (pow.f64 eps 2) x) (*.f64 x (*.f64 -1/315 (pow.f64 eps 8)))) (+.f64 (*.f64 x (*.f64 -1/3 (pow.f64 eps 4))) (*.f64 (pow.f64 eps 6) (*.f64 2/45 x)))) |
(+.f64 (*.f64 x (+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))) (*.f64 x (+.f64 (*.f64 2/45 (pow.f64 eps 6)) (*.f64 -1/315 (pow.f64 eps 8))))) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 eps 2))) |
(+.f64 1 (*.f64 (pow.f64 eps 2) -1)) |
(+.f64 1 (neg.f64 (pow.f64 eps 2))) |
(-.f64 1 (pow.f64 eps 2)) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 4)))) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 eps 2) -1) (*.f64 (pow.f64 eps 4) 1/3))) |
(+.f64 (neg.f64 (pow.f64 eps 2)) (+.f64 (*.f64 (pow.f64 eps 4) 1/3) 1)) |
(+.f64 (-.f64 1 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/3)) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6))))) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 eps 2) -1) (+.f64 (*.f64 (pow.f64 eps 4) 1/3) (*.f64 (pow.f64 eps 6) -2/45)))) |
(+.f64 (neg.f64 (pow.f64 eps 2)) (+.f64 1 (+.f64 (*.f64 (pow.f64 eps 4) 1/3) (*.f64 (pow.f64 eps 6) -2/45)))) |
(+.f64 (-.f64 1 (pow.f64 eps 2)) (+.f64 (*.f64 (pow.f64 eps 4) 1/3) (*.f64 (pow.f64 eps 6) -2/45))) |
(pow.f64 eps 2) |
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))) |
(+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (+.f64 (pow.f64 eps 2) (*.f64 2/45 (pow.f64 eps 6)))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/315 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6))))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/45 (pow.f64 eps 6)) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 -1/315 (pow.f64 eps 8))))) |
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (+.f64 (*.f64 2/45 (pow.f64 eps 6)) (*.f64 -1/315 (pow.f64 eps 8))))) |
eps |
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5)))) |
(+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 eps (*.f64 2/15 (pow.f64 eps 5)))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 2/15 (pow.f64 eps 5)) (*.f64 17/315 (pow.f64 eps 7))))) |
(+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (+.f64 (*.f64 2/15 (pow.f64 eps 5)) (*.f64 17/315 (pow.f64 eps 7))) eps)) |
(+.f64 eps (+.f64 (*.f64 2/15 (pow.f64 eps 5)) (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 17/315 (pow.f64 eps 7))))) |
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 0) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(+.f64 0 (*.f64 (pow.f64 (sin.f64 eps) 2) x)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 2) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 0) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 2) (/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x)) 2)) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x x)) 2) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 4)) 4) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 4))) 8) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 4) (*.f64 x 4)) 16) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) |
(*.f64 x (pow.f64 (sin.f64 eps) 2)) |
(+.f64 (pow.f64 (cos.f64 eps) 2) 0) |
(pow.f64 (cos.f64 eps) 2) |
(+.f64 0 (pow.f64 (cos.f64 eps) 2)) |
(pow.f64 (cos.f64 eps) 2) |
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) 2)) |
(pow.f64 (cos.f64 eps) 2) |
(-.f64 (pow.f64 (cos.f64 eps) 2) 0) |
(pow.f64 (cos.f64 eps) 2) |
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) 2) (/.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) 2)) |
(pow.f64 (cos.f64 eps) 2) |
(*.f64 (pow.f64 (cos.f64 eps) 2) 1) |
(pow.f64 (cos.f64 eps) 2) |
(*.f64 1 (pow.f64 (cos.f64 eps) 2)) |
(pow.f64 (cos.f64 eps) 2) |
(*.f64 (*.f64 2 (pow.f64 (cos.f64 eps) 2)) 1/2) |
(pow.f64 (cos.f64 eps) 2) |
(*.f64 1/2 (*.f64 2 (pow.f64 (cos.f64 eps) 2))) |
(pow.f64 (cos.f64 eps) 2) |
(*.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 4) 1/4) |
(pow.f64 (cos.f64 eps) 2) |
(*.f64 1/4 (*.f64 (pow.f64 (cos.f64 eps) 2) 4)) |
(pow.f64 (cos.f64 eps) 2) |
(*.f64 1/4 (pow.f64 (*.f64 2 (cos.f64 eps)) 2)) |
(pow.f64 (cos.f64 eps) 2) |
(*.f64 (pow.f64 (*.f64 2 (cos.f64 eps)) 2) 1/4) |
(pow.f64 (cos.f64 eps) 2) |
(/.f64 (pow.f64 (cos.f64 eps) 2) 1) |
(pow.f64 (cos.f64 eps) 2) |
(/.f64 (*.f64 2 (pow.f64 (cos.f64 eps) 2)) 2) |
(pow.f64 (cos.f64 eps) 2) |
(/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 4) 4) |
(pow.f64 (cos.f64 eps) 2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (cos.f64 eps) 2) 4)) 8) |
(pow.f64 (cos.f64 eps) 2) |
(+.f64 (pow.f64 (sin.f64 eps) 2) 0) |
(pow.f64 (sin.f64 eps) 2) |
(+.f64 0 (pow.f64 (sin.f64 eps) 2)) |
(pow.f64 (sin.f64 eps) 2) |
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) 2)) |
(pow.f64 (sin.f64 eps) 2) |
(-.f64 (pow.f64 (sin.f64 eps) 2) 0) |
(pow.f64 (sin.f64 eps) 2) |
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 2) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 2)) |
(pow.f64 (sin.f64 eps) 2) |
(*.f64 (pow.f64 (sin.f64 eps) 2) 1) |
(pow.f64 (sin.f64 eps) 2) |
(*.f64 1 (pow.f64 (sin.f64 eps) 2)) |
(pow.f64 (sin.f64 eps) 2) |
(*.f64 (*.f64 2 (pow.f64 (sin.f64 eps) 2)) 1/2) |
(pow.f64 (sin.f64 eps) 2) |
(*.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 eps) 2))) |
(pow.f64 (sin.f64 eps) 2) |
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 4) 1/4) |
(pow.f64 (sin.f64 eps) 2) |
(*.f64 1/4 (*.f64 (pow.f64 (sin.f64 eps) 2) 4)) |
(pow.f64 (sin.f64 eps) 2) |
(*.f64 1/4 (pow.f64 (*.f64 (sin.f64 eps) 2) 2)) |
(pow.f64 (sin.f64 eps) 2) |
(*.f64 (pow.f64 (*.f64 (sin.f64 eps) 2) 2) 1/4) |
(pow.f64 (sin.f64 eps) 2) |
(/.f64 (pow.f64 (sin.f64 eps) 2) 1) |
(pow.f64 (sin.f64 eps) 2) |
(/.f64 (*.f64 2 (pow.f64 (sin.f64 eps) 2)) 2) |
(pow.f64 (sin.f64 eps) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 4) 4) |
(pow.f64 (sin.f64 eps) 2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 2) 4)) 8) |
(pow.f64 (sin.f64 eps) 2) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 0)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (sin.f64 0) 2)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 2 (sin.f64 0))) |
(+.f64 0 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) (+.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) (sin.f64 0))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 0)) |
(+.f64 (sin.f64 0) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 0)) |
(+.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) (sin.f64 0)) (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 0)) |
(+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) 2) (/.f64 (*.f64 3/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)) |
(/.f64 (+.f64 (*.f64 (sin.f64 eps) (/.f64 3/2 (cos.f64 eps))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) 2) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (/.f64 3/2 (cos.f64 eps))) 2) (/.f64 (sin.f64 eps) (*.f64 4 (cos.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 4) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) (/.f64 (*.f64 (sin.f64 eps) 3) (*.f64 (cos.f64 eps) 4))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 3/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (/.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) 2)) |
(/.f64 (+.f64 (*.f64 (sin.f64 eps) (/.f64 3/2 (cos.f64 eps))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) 2) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (/.f64 3/2 (cos.f64 eps))) 2) (/.f64 (sin.f64 eps) (*.f64 4 (cos.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 4) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) 3) (*.f64 (cos.f64 eps) 4)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (sin.f64 0) 2) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 2 (sin.f64 0))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (sin.f64 0))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 0)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (neg.f64 (*.f64 (cos.f64 eps) (sin.f64 0))) (cos.f64 eps))) |
(/.f64 (-.f64 (sin.f64 eps) (neg.f64 (*.f64 (cos.f64 eps) (sin.f64 0)))) (cos.f64 eps)) |
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 0)) (neg.f64 (sin.f64 eps))) (cos.f64 eps)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps))) (cos.f64 eps))) |
(/.f64 (-.f64 (sin.f64 eps) (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) eps)))) (cos.f64 eps)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (neg.f64 (sin.f64 0)) 0)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 0)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 eps) (sin.f64 0))) (cos.f64 eps)) 0)) |
(/.f64 (-.f64 (sin.f64 eps) (neg.f64 (*.f64 (cos.f64 eps) (sin.f64 0)))) (cos.f64 eps)) |
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 0)) (neg.f64 (sin.f64 eps))) (cos.f64 eps)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps))) (cos.f64 eps)) 0)) |
(/.f64 (-.f64 (sin.f64 eps) (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) eps)))) (cos.f64 eps)) |
(-.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) -2))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 (-.f64 (*.f64 2 (sin.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) |
(-.f64 (/.f64 (*.f64 3/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) -2)) 2)) |
(/.f64 (+.f64 (*.f64 (sin.f64 eps) (/.f64 3/2 (cos.f64 eps))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) 2) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (/.f64 3/2 (cos.f64 eps))) 2) (/.f64 (sin.f64 eps) (*.f64 4 (cos.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 4) |
(-.f64 (/.f64 (*.f64 3/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (+.f64 (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) -2)) 2) 0)) |
(/.f64 (+.f64 (*.f64 (sin.f64 eps) (/.f64 3/2 (cos.f64 eps))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) 2) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (/.f64 3/2 (cos.f64 eps))) 2) (/.f64 (sin.f64 eps) (*.f64 4 (cos.f64 eps)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 4) |
(-.f64 (/.f64 (*.f64 (sin.f64 eps) 3) (*.f64 (cos.f64 eps) 4)) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) 4))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (/.f64 (*.f64 (sin.f64 eps) 3) (*.f64 (cos.f64 eps) 4)) (+.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) 4)) 0)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (/.f64 (*.f64 (sin.f64 0) (cos.f64 (neg.f64 eps))) (cos.f64 eps)) (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))) |
(/.f64 (-.f64 (*.f64 (sin.f64 0) (cos.f64 (neg.f64 eps))) (sin.f64 (neg.f64 eps))) (cos.f64 eps)) |
(-.f64 (/.f64 (*.f64 (sin.f64 0) (cos.f64 (neg.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)) 0)) |
(/.f64 (-.f64 (*.f64 (sin.f64 0) (cos.f64 (neg.f64 eps))) (sin.f64 (neg.f64 eps))) (cos.f64 eps)) |
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 2 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (sin.f64 eps) 2) (/.f64 1/2 (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (sin.f64 eps) 2) (-.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1/2 (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 2) (cos.f64 eps)) 2) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps)) 1/2) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (sin.f64 eps) 4) (/.f64 1 (*.f64 (cos.f64 eps) 4))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (sin.f64 eps) 4) (-.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 1 (*.f64 (cos.f64 eps) 4)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 1/2 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps)))) |
(*.f64 1/2 (-.f64 (*.f64 4 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 2 (sin.f64 eps)) (cos.f64 eps)))) |
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1 (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) 2) (sin.f64 eps))) |
(*.f64 (/.f64 1 (cos.f64 eps)) (-.f64 (*.f64 2 (sin.f64 eps)) (sin.f64 eps))) |
(*.f64 1 (/.f64 (-.f64 (*.f64 2 (sin.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) |
(*.f64 (/.f64 1/2 (cos.f64 eps)) (*.f64 (sin.f64 eps) 2)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1/2 (cos.f64 eps)) (*.f64 (cos.f64 eps) (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1/2 (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) 4) (*.f64 (sin.f64 eps) 2))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (*.f64 (sin.f64 eps) 4)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (-.f64 (*.f64 2 (*.f64 (sin.f64 eps) 4)) (*.f64 (sin.f64 eps) 4))) |
(*.f64 (/.f64 1 (*.f64 4 (cos.f64 eps))) (-.f64 (*.f64 4 (*.f64 2 (sin.f64 eps))) (*.f64 4 (sin.f64 eps)))) |
(*.f64 (/.f64 1/4 (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) 8) (*.f64 4 (sin.f64 eps)))) |
(*.f64 1/4 (/.f64 (-.f64 (*.f64 8 (sin.f64 eps)) (*.f64 4 (sin.f64 eps))) (cos.f64 eps))) |
(*.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) 1/4) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 2 (*.f64 (sin.f64 eps) 4)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 eps) 4)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 2 (*.f64 (sin.f64 eps) 4)) (-.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 eps) 4))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 eps))) (/.f64 1 (/.f64 1 (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (cos.f64 eps) 2)) (/.f64 1 (/.f64 2 (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 -2 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) -2))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 1/4 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (cos.f64 eps) 4))) (*.f64 2 (*.f64 (sin.f64 eps) 4))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1 (/.f64 1 (cos.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1 (/.f64 2 (cos.f64 eps))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (cos.f64 eps) 2))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (/.f64 1 (cos.f64 eps)) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) 2)) (/.f64 (/.f64 1/2 (cos.f64 eps)) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (cos.f64 eps) (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps))) (/.f64 1/2 (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) 4)) (/.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (/.f64 1 (cos.f64 eps)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (/.f64 1/2 (cos.f64 eps)) (cos.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) 2))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (/.f64 1 (*.f64 (cos.f64 eps) 4)) (cos.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) 4))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 1 (tan.f64 x)) |
| ✓ | 0.3b | (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) |
| ✓ | 2.3b | (+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) (-.f64 1 (tan.f64 x))) |
| 3.1b | (tan.f64 (+.f64 x eps)) |
Compiled 43 to 17 computations (60.5% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) |
| 1.0ms | x | @ | 0 | (-.f64 1 (tan.f64 x)) |
| 1.0ms | eps | @ | 0 | (+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) (-.f64 1 (tan.f64 x))) |
| 0.0ms | eps | @ | 0 | (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) |
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) (-.f64 1 (tan.f64 x))) |
| 1× | batch-egg-rewrite |
| 1094× | rational_best-simplify-75 |
| 976× | rational_best-simplify-56 |
| 956× | rational_best-4 |
| 956× | rational_best-2 |
| 956× | rational_best-3 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 69 |
| 1 | 90 | 61 |
| 2 | 170 | 61 |
| 3 | 509 | 49 |
| 4 | 2319 | 49 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) (-.f64 1 (tan.f64 x))) |
(-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) |
(-.f64 1 (tan.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 x eps)) (+.f64 1 (+.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (-.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) (+.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (tan.f64 x) (-.f64 1 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (tan.f64 x)) (-.f64 1 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 -1 (-.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (tan.f64 x) (neg.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 1 (+.f64 -1 (tan.f64 x))) (neg.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (tan.f64 x)) (+.f64 -1 (-.f64 1 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (tan.f64 x) -2) -2) (-.f64 (neg.f64 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 2) (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (neg.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2) (/.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (-.f64 (/.f64 (tan.f64 x) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (-.f64 (/.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) -2) (+.f64 1/2 (/.f64 (tan.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (-.f64 (/.f64 (-.f64 1 (tan.f64 x)) -2) (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (tan.f64 x) (/.f64 (tan.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (+.f64 1 (+.f64 -1 (tan.f64 x))) (/.f64 (tan.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 (tan.f64 x) -2)) (-.f64 (-.f64 1 (tan.f64 (+.f64 x eps))) (+.f64 1/2 (/.f64 (tan.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 (tan.f64 x) -2)) (+.f64 (/.f64 (-.f64 1 (tan.f64 x)) -2) (-.f64 1 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (+.f64 -1 (tan.f64 x)) (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2)) (+.f64 (/.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) -2) (+.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2))) (-.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2))) (-.f64 (tan.f64 x) (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 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| 1× | egg-herbie |
| 1200× | rational_best-simplify-56 |
| 764× | rational_best-simplify-67 |
| 734× | rational_best-simplify-65 |
| 684× | rational_best-simplify-75 |
| 508× | rational_best-simplify-50 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 453 | 9438 |
| 1 | 1228 | 8118 |
| 2 | 3277 | 7950 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
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(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1) |
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(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1) |
1 |
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(-.f64 (-.f64 -1/2 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2) (tan.f64 x))) (-.f64 -1 (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2)))) |
(-.f64 (+.f64 1 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) (-.f64 1 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))) |
(-.f64 (-.f64 (+.f64 1/2 (/.f64 (tan.f64 x) -2)) (/.f64 (tan.f64 (+.f64 x eps)) -2)) (-.f64 (-.f64 1 (/.f64 (tan.f64 (+.f64 x eps)) 2)) (+.f64 1/2 (/.f64 (tan.f64 x) -2)))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (tan.f64 (+.f64 x eps)) -2)) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 1 (+.f64 -1 (tan.f64 x)))) (/.f64 (tan.f64 (+.f64 x eps)) -2)) |
(-.f64 (-.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (+.f64 1 (+.f64 -1 (tan.f64 x)))) (-.f64 (neg.f64 (tan.f64 x)) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))) |
(-.f64 (-.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (-.f64 1 (tan.f64 x))) (-.f64 (+.f64 -1 (tan.f64 x)) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))) |
(-.f64 (-.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (+.f64 (+.f64 -1 (tan.f64 x)) (+.f64 1/2 (/.f64 (tan.f64 x) -2)))) (-.f64 (+.f64 1/2 (/.f64 (tan.f64 x) -2)) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))) |
(-.f64 (-.f64 (/.f64 (tan.f64 x) -2) (neg.f64 (tan.f64 (+.f64 x eps)))) (-.f64 0 (/.f64 (tan.f64 x) -2))) |
(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) (/.f64 (tan.f64 (+.f64 x eps)) 2))) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 (+.f64 x eps)))) |
(-.f64 (-.f64 (-.f64 1 (tan.f64 x)) (-.f64 (-.f64 1 (tan.f64 x)) (tan.f64 (+.f64 x eps)))) (-.f64 1 (-.f64 1 (tan.f64 x)))) |
(-.f64 (-.f64 (-.f64 1 (tan.f64 x)) (+.f64 (-.f64 1 (tan.f64 (+.f64 x eps))) (+.f64 1/2 (/.f64 (tan.f64 x) -2)))) (+.f64 (+.f64 -1 (tan.f64 x)) (+.f64 1/2 (/.f64 (tan.f64 x) -2)))) |
(-.f64 (-.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x)))) (-.f64 -1 (+.f64 -1 (tan.f64 (+.f64 x eps))))) |
(-.f64 (-.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) (+.f64 (+.f64 -1 (tan.f64 x)) (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2)))) (+.f64 (-.f64 1 (tan.f64 (+.f64 x eps))) (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2)))) |
(*.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
(*.f64 -1 (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (tan.f64 x))) |
(*.f64 -1 (+.f64 (tan.f64 x) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(*.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2)) |
(*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1) |
(*.f64 1/2 (*.f64 -2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) |
(*.f64 1/2 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) 2))) |
(*.f64 1/2 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) (*.f64 2 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) |
(*.f64 (*.f64 -2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 1/2) |
(*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 1/4) |
(*.f64 1/4 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) |
(*.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) 1/8) |
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(/.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1) |
(/.f64 (*.f64 -2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) 8) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) 2) (*.f64 (tan.f64 (+.f64 x eps)) 2)) -2) |
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) 2)) 2) |
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) (*.f64 2 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) 4)) -4) |
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) (*.f64 (tan.f64 x) 4)) 4) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) (*.f64 2 (*.f64 (tan.f64 x) 4))) 8) |
(/.f64 (-.f64 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4) (neg.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4))) 4) |
(/.f64 (-.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4) (neg.f64 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4))) 4) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) -2) (*.f64 (tan.f64 (+.f64 x eps)) -2)) 2) |
(/.f64 (-.f64 (neg.f64 (*.f64 (tan.f64 x) 4)) (*.f64 (tan.f64 (+.f64 x eps)) -4)) 4) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) (+.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) 4))) 4) |
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(neg.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
(+.f64 -1 (tan.f64 (+.f64 x eps))) |
(+.f64 (tan.f64 (+.f64 x eps)) -1) |
(+.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 0) |
(+.f64 0 (+.f64 -1 (tan.f64 (+.f64 x eps)))) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 -1 (/.f64 (tan.f64 (+.f64 x eps)) -2))) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) -2) 2)) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 -1 (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(+.f64 (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2)) (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(+.f64 (-.f64 -1 (/.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(+.f64 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) -2) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(+.f64 (+.f64 -1 (/.f64 (tan.f64 (+.f64 x eps)) 2)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(*.f64 -1 (-.f64 1 (tan.f64 (+.f64 x eps)))) |
(*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 1) |
(*.f64 1 (+.f64 -1 (tan.f64 (+.f64 x eps)))) |
(*.f64 (-.f64 1 (tan.f64 (+.f64 x eps))) -1) |
(*.f64 2 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 1/2)) |
(*.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 2) 1/2) |
(*.f64 1/2 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 2)) |
(*.f64 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4) 1/4) |
(*.f64 1/4 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4)) |
(*.f64 (*.f64 2 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4)) 1/8) |
(/.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 1) |
(/.f64 (-.f64 1 (tan.f64 (+.f64 x eps))) -1) |
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 2) 2) |
(/.f64 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4) 4) |
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4)) -4) |
(/.f64 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) -2) -2) |
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4)) 8) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4)) -1) 4) |
(pow.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 1) |
(neg.f64 (-.f64 1 (tan.f64 (+.f64 x eps)))) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(+.f64 (-.f64 1 (tan.f64 x)) 0) |
(+.f64 0 (-.f64 1 (tan.f64 x))) |
(+.f64 (neg.f64 (tan.f64 x)) 1) |
(+.f64 (+.f64 1/2 (/.f64 (tan.f64 x) -2)) (+.f64 1/2 (/.f64 (tan.f64 x) -2))) |
(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 1 (/.f64 (tan.f64 x) 2))) |
(+.f64 (/.f64 (tan.f64 x) -2) (/.f64 (+.f64 (neg.f64 (tan.f64 x)) 2) 2)) |
(+.f64 (-.f64 1 (/.f64 (tan.f64 x) 2)) (/.f64 (tan.f64 x) -2)) |
(+.f64 (/.f64 (+.f64 (neg.f64 (tan.f64 x)) 2) 2) (/.f64 (tan.f64 x) -2)) |
(*.f64 -1 (+.f64 -1 (tan.f64 x))) |
(*.f64 1 (-.f64 1 (tan.f64 x))) |
(*.f64 (-.f64 1 (tan.f64 x)) 1) |
(*.f64 (+.f64 -1 (tan.f64 x)) -1) |
(*.f64 2 (*.f64 (-.f64 1 (tan.f64 x)) 1/2)) |
(*.f64 (-.f64 (*.f64 (tan.f64 x) -2) -2) 1/2) |
(*.f64 1/2 (-.f64 (*.f64 (tan.f64 x) -2) -2)) |
(*.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4) 1/4) |
(*.f64 1/4 (*.f64 (-.f64 1 (tan.f64 x)) 4)) |
(*.f64 (*.f64 2 (*.f64 (-.f64 1 (tan.f64 x)) 4)) 1/8) |
(/.f64 (-.f64 1 (tan.f64 x)) 1) |
(/.f64 (+.f64 -1 (tan.f64 x)) -1) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) -2) -2) 2) |
(/.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4) 4) |
(/.f64 (neg.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4)) -4) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) 2) 2) -2) |
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (tan.f64 x)) 4)) 8) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4)) -1) 4) |
(pow.f64 (-.f64 1 (tan.f64 x)) 1) |
(neg.f64 (+.f64 -1 (tan.f64 x))) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2))) (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (pow.f64 (cos.f64 eps) 2))))) (/.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (*.f64 (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (pow.f64 (cos.f64 eps) 2)))) -1/2))) (pow.f64 x 3))))) |
(+.f64 (*.f64 (pow.f64 x 3) (neg.f64 (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 1/2 (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (cos.f64 eps)))) |
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2)))))) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 x -1))) (cos.f64 (-.f64 eps (*.f64 x -1)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 x -1))) (cos.f64 (-.f64 eps (*.f64 x -1)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 x -1))) (cos.f64 (-.f64 eps (*.f64 x -1)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 x -1))) (cos.f64 (-.f64 eps (*.f64 x -1)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) |
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(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 -1 (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (tan.f64 x))) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 -1 (+.f64 (tan.f64 x) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2)) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 1/2 (*.f64 -2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 1/2 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) 2))) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 1/2 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) (*.f64 2 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) |
(*.f64 1/2 (-.f64 (*.f64 4 (tan.f64 (+.f64 eps x))) (*.f64 2 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))) |
(*.f64 (*.f64 -2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 1/2) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 1/4) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 1/4 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) 1/8) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (*.f64 -2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 4) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) 8) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) 2) (*.f64 (tan.f64 (+.f64 x eps)) 2)) -2) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) 2)) 2) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) (*.f64 2 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) 4)) -4) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) (*.f64 (tan.f64 x) 4)) 4) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) (*.f64 2 (*.f64 (tan.f64 x) 4))) 8) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4) (neg.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4))) 4) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4) (neg.f64 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4))) 4) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) -2) (*.f64 (tan.f64 (+.f64 x eps)) -2)) 2) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (neg.f64 (*.f64 (tan.f64 x) 4)) (*.f64 (tan.f64 (+.f64 x eps)) -4)) 4) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 4)) (+.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) 4))) 4) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(neg.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) -1)) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 -1 (tan.f64 (+.f64 x eps))) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(+.f64 (tan.f64 (+.f64 x eps)) -1) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(+.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 0) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(+.f64 0 (+.f64 -1 (tan.f64 (+.f64 x eps)))) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 -1 (/.f64 (tan.f64 (+.f64 x eps)) -2))) |
(+.f64 (/.f64 (tan.f64 (+.f64 eps x)) 2) (-.f64 -1 (/.f64 (tan.f64 (+.f64 eps x)) -2))) |
(+.f64 (/.f64 (tan.f64 (+.f64 eps x)) 2) (-.f64 -1 (*.f64 -1/2 (tan.f64 (+.f64 eps x))))) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) -2) 2)) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 -1 (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(+.f64 (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2)) (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(+.f64 (-.f64 -1 (/.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(+.f64 (/.f64 (tan.f64 (+.f64 eps x)) 2) (-.f64 -1 (/.f64 (tan.f64 (+.f64 eps x)) -2))) |
(+.f64 (/.f64 (tan.f64 (+.f64 eps x)) 2) (-.f64 -1 (*.f64 -1/2 (tan.f64 (+.f64 eps x))))) |
(+.f64 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) -2) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(+.f64 (+.f64 -1 (/.f64 (tan.f64 (+.f64 x eps)) 2)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 -1 (-.f64 1 (tan.f64 (+.f64 x eps)))) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 1) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 1 (+.f64 -1 (tan.f64 (+.f64 x eps)))) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 (-.f64 1 (tan.f64 (+.f64 x eps))) -1) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 2 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 1/2)) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 2) 1/2) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 1/2 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 2)) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4) 1/4) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 1/4 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4)) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 (*.f64 2 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4)) 1/8) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 1) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (-.f64 1 (tan.f64 (+.f64 x eps))) -1) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 2) 2) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4) 4) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4)) -4) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) -2) -2) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4)) 8) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 4)) -1) 4) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(pow.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) 1) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(neg.f64 (-.f64 1 (tan.f64 (+.f64 x eps)))) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(+.f64 (-.f64 1 (tan.f64 x)) 0) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(+.f64 0 (-.f64 1 (tan.f64 x))) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(+.f64 (neg.f64 (tan.f64 x)) 1) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(+.f64 (+.f64 1/2 (/.f64 (tan.f64 x) -2)) (+.f64 1/2 (/.f64 (tan.f64 x) -2))) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 1 (/.f64 (tan.f64 x) 2))) |
(+.f64 (/.f64 (tan.f64 x) -2) (/.f64 (+.f64 (neg.f64 (tan.f64 x)) 2) 2)) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(+.f64 (-.f64 1 (/.f64 (tan.f64 x) 2)) (/.f64 (tan.f64 x) -2)) |
(+.f64 (/.f64 (tan.f64 x) -2) (-.f64 1 (/.f64 (tan.f64 x) 2))) |
(+.f64 (/.f64 (+.f64 (neg.f64 (tan.f64 x)) 2) 2) (/.f64 (tan.f64 x) -2)) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(*.f64 -1 (+.f64 -1 (tan.f64 x))) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(*.f64 1 (-.f64 1 (tan.f64 x))) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(*.f64 (-.f64 1 (tan.f64 x)) 1) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(*.f64 (+.f64 -1 (tan.f64 x)) -1) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(*.f64 2 (*.f64 (-.f64 1 (tan.f64 x)) 1/2)) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(*.f64 (-.f64 (*.f64 (tan.f64 x) -2) -2) 1/2) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(*.f64 1/2 (-.f64 (*.f64 (tan.f64 x) -2) -2)) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(*.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4) 1/4) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(*.f64 1/4 (*.f64 (-.f64 1 (tan.f64 x)) 4)) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(*.f64 (*.f64 2 (*.f64 (-.f64 1 (tan.f64 x)) 4)) 1/8) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (-.f64 1 (tan.f64 x)) 1) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (+.f64 -1 (tan.f64 x)) -1) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) -2) -2) 2) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4) 4) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4)) -4) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) 2) 2) -2) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (tan.f64 x)) 4)) 8) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4)) -1) 4) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(pow.f64 (-.f64 1 (tan.f64 x)) 1) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(neg.f64 (+.f64 -1 (tan.f64 x))) |
(+.f64 1 (neg.f64 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) |
| ✓ | 1.1b | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) (tan.f64 x)) |
| 3.1b | (tan.f64 (+.f64 x eps)) |
Compiled 39 to 15 computations (61.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | 0 | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) (tan.f64 x)) |
| 1.0ms | x | @ | inf | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) (tan.f64 x)) |
| 1.0ms | x | @ | -inf | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) (tan.f64 x)) |
| 1.0ms | x | @ | 0 | (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) |
| 1.0ms | eps | @ | inf | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 1070× | rational_best-simplify-56 |
| 878× | rational_best-4 |
| 878× | rational_best-2 |
| 878× | rational_best-3 |
| 878× | rational_best-1 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 64 |
| 1 | 80 | 64 |
| 2 | 162 | 52 |
| 3 | 477 | 48 |
| 4 | 2144 | 48 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) (tan.f64 x)) |
(+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) |
| Outputs |
|---|
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(*.f64 (tan.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (tan.f64 x) -4) (*.f64 (tan.f64 (+.f64 x eps)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) (*.f64 2 (*.f64 (tan.f64 x) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) (neg.f64 (*.f64 (tan.f64 x) -8))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (tan.f64 x) -8) (neg.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (tan.f64 x) -8) (*.f64 -2 (*.f64 (tan.f64 (+.f64 x eps)) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps)))))))) |
| 1× | egg-herbie |
| 1140× | rational_best-simplify-52 |
| 1100× | rational_best-simplify-48 |
| 1060× | rational_best-simplify-57 |
| 1034× | rational_best-simplify-47 |
| 1018× | rational_best-simplify-3 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 446 | 10677 |
| 1 | 1198 | 10449 |
| 2 | 2831 | 10209 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x)))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) (+.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 5/6 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
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(-.f64 (*.f64 -2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (tan.f64 (+.f64 x eps))) |
(-.f64 (*.f64 (tan.f64 x) -4) (-.f64 (*.f64 (tan.f64 x) -2) (tan.f64 (+.f64 x eps)))) |
(-.f64 (*.f64 (tan.f64 x) -4) (+.f64 (+.f64 (neg.f64 (tan.f64 x)) (-.f64 (*.f64 (tan.f64 x) -2) (tan.f64 (+.f64 x eps)))) (tan.f64 x))) |
(-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 2))) |
(-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(-.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (+.f64 (*.f64 (tan.f64 x) 3) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(-.f64 (*.f64 (tan.f64 x) -8) (+.f64 (-.f64 (*.f64 (tan.f64 x) -2) (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) -4))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (-.f64 (tan.f64 x) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2) (tan.f64 x))) |
(-.f64 (/.f64 (tan.f64 x) 2) (+.f64 (-.f64 (-.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) (/.f64 (tan.f64 x) 2)) (tan.f64 x))) |
(-.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (+.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -2) (tan.f64 x))) |
(-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (tan.f64 x) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (-.f64 (tan.f64 x) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))) |
(-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2) (*.f64 (tan.f64 x) 2))) |
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)) (+.f64 (*.f64 3 (/.f64 (tan.f64 x) 2)) (tan.f64 x))) |
(-.f64 (+.f64 (tan.f64 x) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (+.f64 (-.f64 (*.f64 (tan.f64 x) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))) |
(-.f64 (*.f64 (tan.f64 x) -3) (+.f64 (-.f64 (*.f64 (tan.f64 x) -2) (tan.f64 (+.f64 x eps))) (tan.f64 x))) |
(-.f64 (/.f64 (*.f64 (tan.f64 x) -3) 2) (+.f64 (-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (/.f64 (tan.f64 x) 2)) (tan.f64 x))) |
(-.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) -3) (*.f64 (tan.f64 (+.f64 x eps)) -2)) 2) (+.f64 (/.f64 (tan.f64 x) -2) (tan.f64 x))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (neg.f64 (tan.f64 x))) (+.f64 (-.f64 (*.f64 (tan.f64 x) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))) |
(-.f64 (+.f64 (*.f64 (tan.f64 x) -2) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (/.f64 (tan.f64 (+.f64 x eps)) -2)) |
(-.f64 (+.f64 (*.f64 (tan.f64 x) -2) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (+.f64 (-.f64 (neg.f64 (tan.f64 x)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))) |
(-.f64 (+.f64 (*.f64 (tan.f64 x) -4) (/.f64 (tan.f64 x) 2)) (+.f64 (-.f64 (-.f64 (*.f64 (tan.f64 x) -2) (tan.f64 (+.f64 x eps))) (/.f64 (tan.f64 x) 2)) (tan.f64 x))) |
(-.f64 (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3)) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3))) (+.f64 (neg.f64 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3)))) |
(*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) 1) |
(*.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2))) |
(*.f64 -1 (-.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps)))) |
(*.f64 (-.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) -1) |
(*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) 1/2)) |
(*.f64 (+.f64 (*.f64 (tan.f64 x) -4) (*.f64 (tan.f64 (+.f64 x eps)) 2)) 1/2) |
(*.f64 1/2 (+.f64 (*.f64 (tan.f64 x) -4) (*.f64 (tan.f64 (+.f64 x eps)) 2))) |
(*.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4)) 1/4) |
(*.f64 (*.f64 -2 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2))) -1/2) |
(*.f64 (neg.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) -1/4) |
(*.f64 1/4 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) |
(*.f64 (*.f64 2 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) 1/8) |
(/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) 1) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) -1) |
(/.f64 (+.f64 (*.f64 (tan.f64 x) -4) (*.f64 (tan.f64 (+.f64 x eps)) 2)) 2) |
(/.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4)) 4) |
(/.f64 (*.f64 -2 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2))) -2) |
(/.f64 (neg.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) -4) |
(/.f64 (*.f64 2 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) 8) |
(/.f64 (/.f64 (*.f64 -2 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2))) -1) 2) |
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) -1) 4) |
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) (*.f64 2 (*.f64 (tan.f64 x) 4))) 4) |
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) (neg.f64 (*.f64 (tan.f64 x) -8))) 4) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) -8) (neg.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4))) 4) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) -8) (*.f64 -2 (*.f64 (tan.f64 (+.f64 x eps)) 2))) 4) |
(pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) 1) |
(neg.f64 (-.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps)))) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (*.f64 (+.f64 (+.f64 1/2 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2)))) (+.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (pow.f64 (cos.f64 eps) 2)))) -1/2) (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (pow.f64 (cos.f64 eps) 2))))) (/.f64 -1 (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (*.f64 (pow.f64 x 3) (neg.f64 (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 (+.f64 1/2 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (*.f64 (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2))) (+.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))) (neg.f64 (pow.f64 x 3))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 x) (/.f64 -2 (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 x) (/.f64 -2 (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 x) (/.f64 -2 (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 x) (/.f64 -2 (cos.f64 x))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 -2 (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 eps (*.f64 x -1))) (cos.f64 (-.f64 eps (*.f64 x -1)))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (/.f64 -2 (cos.f64 x))) (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))))) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 -2 (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 eps (*.f64 x -1))) (cos.f64 (-.f64 eps (*.f64 x -1)))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (/.f64 -2 (cos.f64 x))) (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))))) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 -2 (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 eps (*.f64 x -1))) (cos.f64 (-.f64 eps (*.f64 x -1)))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (/.f64 -2 (cos.f64 x))) (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))))) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 -2 (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 eps (*.f64 x -1))) (cos.f64 (-.f64 eps (*.f64 x -1)))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (/.f64 -2 (cos.f64 x))) (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))))) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))) |
(+.f64 (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0) |
0 |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0)) |
(+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0)) |
(+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 0) |
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(*.f64 (+.f64 (*.f64 (tan.f64 x) -4) (*.f64 (tan.f64 (+.f64 x eps)) 2)) 1/2) |
(*.f64 1/2 (+.f64 (*.f64 (tan.f64 x) -4) (*.f64 2 (tan.f64 (+.f64 eps x))))) |
(*.f64 1/2 (+.f64 (*.f64 (tan.f64 x) -4) (*.f64 (tan.f64 (+.f64 x eps)) 2))) |
(*.f64 1/2 (+.f64 (*.f64 (tan.f64 x) -4) (*.f64 2 (tan.f64 (+.f64 eps x))))) |
(*.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4)) 1/4) |
(*.f64 1/4 (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 (tan.f64 x) -8))) |
(*.f64 (*.f64 -2 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2))) -1/2) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 -2 (tan.f64 x))) |
(*.f64 (neg.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) -1/4) |
(*.f64 1/4 (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 (tan.f64 x) -8))) |
(*.f64 1/4 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) |
(*.f64 1/4 (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 (tan.f64 x) -8))) |
(*.f64 (*.f64 2 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) 1/8) |
(*.f64 1/4 (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 (tan.f64 x) -8))) |
(/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) 1) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 -2 (tan.f64 x))) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) -1) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 -2 (tan.f64 x))) |
(/.f64 (+.f64 (*.f64 (tan.f64 x) -4) (*.f64 (tan.f64 (+.f64 x eps)) 2)) 2) |
(/.f64 (+.f64 (*.f64 (tan.f64 x) -4) (*.f64 2 (tan.f64 (+.f64 eps x)))) 2) |
(/.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4)) 4) |
(/.f64 (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 (tan.f64 x) -8)) 4) |
(/.f64 (*.f64 -2 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2))) -2) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 -2 (tan.f64 x))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) -4) |
(/.f64 (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 (tan.f64 x) -8)) 4) |
(/.f64 (*.f64 2 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) 8) |
(/.f64 (*.f64 2 (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 (tan.f64 x) -8))) 8) |
(/.f64 (/.f64 (*.f64 -2 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2))) -1) 2) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 -2 (tan.f64 x))) |
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 (tan.f64 x) -8) (*.f64 (tan.f64 (+.f64 x eps)) 4))) -1) 4) |
(/.f64 (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 (tan.f64 x) -8)) 4) |
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) (*.f64 2 (*.f64 (tan.f64 x) 4))) 4) |
(/.f64 (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 (tan.f64 x) -8)) 4) |
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) (neg.f64 (*.f64 (tan.f64 x) -8))) 4) |
(/.f64 (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 (tan.f64 x) -8)) 4) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) -8) (neg.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4))) 4) |
(/.f64 (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 (tan.f64 x) -8)) 4) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) -8) (*.f64 -2 (*.f64 (tan.f64 (+.f64 x eps)) 2))) 4) |
(/.f64 (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 (tan.f64 x) -8)) 4) |
(pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) 1) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 -2 (tan.f64 x))) |
(neg.f64 (-.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps)))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 -2 (tan.f64 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
| ✓ | 1.0b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| ✓ | 3.1b | (sin.f64 (+.f64 eps x)) |
| ✓ | 3.1b | (cos.f64 (+.f64 eps x)) |
Compiled 48 to 10 computations (79.2% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | eps | @ | 0 | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 0.0ms | eps | @ | 0 | (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
| 0.0ms | eps | @ | 0 | (cos.f64 (+.f64 eps x)) |
| 1× | batch-egg-rewrite |
| 664× | rational_best-4 |
| 664× | rational_best-2 |
| 664× | rational_best-3 |
| 664× | rational_best-1 |
| 664× | exponential-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 96 |
| 1 | 103 | 96 |
| 2 | 343 | 96 |
| 3 | 1412 | 96 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (+.f64 eps x)) |
(sin.f64 (+.f64 eps x)) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 eps x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 eps x)) 2) (/.f64 (cos.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 eps x)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 eps x)) 2) (/.f64 (cos.f64 (-.f64 (neg.f64 x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 eps x)) 4) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 eps x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 eps x)) (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 0)) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 eps x)) (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 0)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 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(/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 0) (/.f64 (cos.f64 (+.f64 eps x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (-.f64 0 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 eps x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 eps x)) 4) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 2) (*.f64 (cos.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 2) (*.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 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(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)) (/.f64 1/2 (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 (+.f64 eps x)) 4)) (/.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) 4)) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1))))) |
| 1× | egg-herbie |
| 1022× | rational_best-simplify-108 |
| 836× | rational_best-simplify-47 |
| 774× | rational_best-simplify-3 |
| 662× | rational_best-simplify-65 |
| 564× | rational_best-simplify-1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 867 | 18746 |
| 1 | 2348 | 18138 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 eps) |
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(sin.f64 x) |
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) |
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) |
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))) |
(sin.f64 (-.f64 x (*.f64 -1 eps))) |
(sin.f64 (-.f64 x (*.f64 -1 eps))) |
(sin.f64 (-.f64 x (*.f64 -1 eps))) |
(sin.f64 (-.f64 x (*.f64 -1 eps))) |
(sin.f64 eps) |
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps)))) |
(sin.f64 (-.f64 eps (*.f64 -1 x))) |
(sin.f64 (-.f64 eps (*.f64 -1 x))) |
(sin.f64 (-.f64 eps (*.f64 -1 x))) |
(sin.f64 (-.f64 eps (*.f64 -1 x))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 0))) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (sin.f64 0) (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 eps x)))) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (neg.f64 (/.f64 0 (cos.f64 (+.f64 eps x)))) (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(-.f64 0 (-.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (/.f64 (neg.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 eps x))) (+.f64 (neg.f64 (/.f64 0 (cos.f64 (+.f64 eps x)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 eps x)))))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 eps x)))) 0)) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 eps x)))) (/.f64 0 (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (+.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2) (cos.f64 (+.f64 eps x))) (/.f64 0 (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2) (cos.f64 (+.f64 eps x))) (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 2)) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (*.f64 -2 (sin.f64 (+.f64 eps x))) (*.f64 (cos.f64 (+.f64 eps x)) 4))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (+.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2) (cos.f64 (+.f64 eps x))) (/.f64 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) 2)))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (-.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) 2))) |
(-.f64 (-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2) (cos.f64 (+.f64 eps x)))) (/.f64 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) 2))) |
(-.f64 (/.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 eps x))) (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) 2))) |
(-.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 3) (*.f64 (cos.f64 (+.f64 eps x)) 2)) 2) (/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2) (cos.f64 (+.f64 eps x))) 2)) |
(-.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 3) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x)))) (/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 3) (*.f64 (cos.f64 (+.f64 eps x)) 4)) (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 (cos.f64 (+.f64 eps x)) 4))) |
(-.f64 (/.f64 (*.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps))) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) 1/2)) (sin.f64 (-.f64 (neg.f64 x) eps))) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 (neg.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)) (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) (sin.f64 (neg.f64 x))) (cos.f64 (+.f64 eps x)))) |
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 1 (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(*.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1/2 (cos.f64 (+.f64 eps x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 2) 1/2) |
(*.f64 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 2) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x))))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) 4))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)) |
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x))) |
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) 4)) (*.f64 (sin.f64 (+.f64 eps x)) 4)) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (cos.f64 (+.f64 eps x))) 1/4) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (cos.f64 (+.f64 eps x))) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 4) (cos.f64 (+.f64 eps x))))) |
(*.f64 (*.f64 2 (*.f64 (sin.f64 (+.f64 eps x)) 4)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 4)))) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 eps x))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 1 (/.f64 2 (cos.f64 (+.f64 eps x))))) |
(*.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (/.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))) |
(*.f64 (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 (+.f64 eps x)) 2)) (/.f64 (/.f64 1/2 (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))) |
(*.f64 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(*.f64 (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)) (/.f64 1/2 (cos.f64 (+.f64 eps x)))) |
(*.f64 (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 (+.f64 eps x)) 4)) (/.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) 4)) (cos.f64 (+.f64 eps x)))) |
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) |
| Outputs |
|---|
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps))) |
(+.f64 (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x)))) |
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))) |
(+.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) |
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))) |
(+.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (pow.f64 eps 3) 1/6)))) |
(+.f64 (cos.f64 x) (+.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3))))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (neg.f64 eps))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (neg.f64 eps))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (neg.f64 eps))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (neg.f64 eps))) |
(cos.f64 eps) |
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) |
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))) |
(+.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)))))) |
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (+.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 x (neg.f64 eps))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 x (neg.f64 eps))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 x (neg.f64 eps))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 x (neg.f64 eps))) |
(sin.f64 x) |
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) |
(+.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps)) |
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) |
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) |
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (cos.f64 x) eps))) |
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))) |
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)) (+.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) -1/6)) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (+.f64 (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) -1/6))) (*.f64 (cos.f64 x) eps))) |
(sin.f64 (-.f64 x (*.f64 -1 eps))) |
(sin.f64 (-.f64 x (neg.f64 eps))) |
(sin.f64 (-.f64 x (*.f64 -1 eps))) |
(sin.f64 (-.f64 x (neg.f64 eps))) |
(sin.f64 (-.f64 x (*.f64 -1 eps))) |
(sin.f64 (-.f64 x (neg.f64 eps))) |
(sin.f64 (-.f64 x (*.f64 -1 eps))) |
(sin.f64 (-.f64 x (neg.f64 eps))) |
(sin.f64 eps) |
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) |
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) |
(+.f64 (sin.f64 eps) (+.f64 (*.f64 x (cos.f64 eps)) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)))) |
(+.f64 (*.f64 x (cos.f64 eps)) (+.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps)))) |
(+.f64 (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) -1/2)) (+.f64 (sin.f64 eps) (+.f64 (*.f64 (pow.f64 x 3) (*.f64 (cos.f64 eps) -1/6)) (*.f64 x (cos.f64 eps))))) |
(+.f64 (*.f64 x (cos.f64 eps)) (+.f64 (+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 3) -1/6))) (*.f64 -1/2 (*.f64 (sin.f64 eps) (pow.f64 x 2))))) |
(sin.f64 (-.f64 eps (*.f64 -1 x))) |
(sin.f64 (-.f64 x (neg.f64 eps))) |
(sin.f64 (-.f64 eps (*.f64 -1 x))) |
(sin.f64 (-.f64 x (neg.f64 eps))) |
(sin.f64 (-.f64 eps (*.f64 -1 x))) |
(sin.f64 (-.f64 x (neg.f64 eps))) |
(sin.f64 (-.f64 eps (*.f64 -1 x))) |
(sin.f64 (-.f64 x (neg.f64 eps))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))) |
(+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 2))) (cos.f64 x))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) |
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(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2) (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (+.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2) (cos.f64 (+.f64 eps x))) (/.f64 0 (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2) (cos.f64 (+.f64 eps x))) (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 2)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (*.f64 -2 (sin.f64 (+.f64 eps x))) (*.f64 (cos.f64 (+.f64 eps x)) 4))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (+.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2) (cos.f64 (+.f64 eps x))) (/.f64 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) 2)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (-.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) 2))) |
(/.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 2 (cos.f64 (+.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))) (*.f64 2 (cos.f64 (+.f64 x eps)))) |
(-.f64 (-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2) (cos.f64 (+.f64 eps x)))) (/.f64 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) 2))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 eps x))) (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) 2))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 3) (*.f64 (cos.f64 (+.f64 eps x)) 2)) 2) (/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2) (cos.f64 (+.f64 eps x))) 2)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 3) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x)))) (/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) -2) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 3) (*.f64 (cos.f64 (+.f64 eps x)) 4)) (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 (cos.f64 (+.f64 eps x)) 4))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (*.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps))) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) 1/2)) (sin.f64 (-.f64 (neg.f64 x) eps))) (cos.f64 (+.f64 eps x)))) |
(/.f64 (-.f64 (*.f64 (sin.f64 0) (cos.f64 (-.f64 (neg.f64 x) eps))) (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (-.f64 (neg.f64 x) eps)))) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 (neg.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)) (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 eps x)))) |
(/.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 (neg.f64 eps))) (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) x)) (sin.f64 (neg.f64 eps)))) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) (sin.f64 (neg.f64 x))) (cos.f64 (+.f64 eps x)))) |
(/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) eps)) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 x eps))) |
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 1 (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1/2 (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 2) 1/2) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 2) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) 4))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) 4)) (*.f64 (sin.f64 (+.f64 eps x)) 4)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (cos.f64 (+.f64 eps x))) 1/4) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (cos.f64 (+.f64 eps x))) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 4) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 2 (*.f64 (sin.f64 (+.f64 eps x)) 4)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 4)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 1 (/.f64 2 (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (/.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 (+.f64 eps x)) 2)) (/.f64 (/.f64 1/2 (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)) (/.f64 1/2 (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 (+.f64 eps x)) 4)) (/.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) 4)) (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)) |
| 3.1b | (tan.f64 (+.f64 x eps)) | |
| ✓ | 3.7b | (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2))) |
| ✓ | 12.6b | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)))) |
Compiled 79 to 29 computations (63.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | -inf | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)))) |
| 1.0ms | x | @ | inf | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)))) |
| 1.0ms | eps | @ | 0 | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)))) |
| 1.0ms | eps | @ | inf | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)))) |
| 1.0ms | x | @ | 0 | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)))) |
| 1× | batch-egg-rewrite |
| 1964× | rational_best-1 |
| 1960× | rational_best-4 |
| 1960× | rational_best-2 |
| 1960× | rational_best-3 |
| 682× | rational_best-simplify-47 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 145 |
| 1 | 112 | 89 |
| 2 | 265 | 59 |
| 3 | 894 | 59 |
| 4 | 5067 | 59 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)))) |
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2))) |
(+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -1/2)) (*.f64 (tan.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (tan.f64 x) 1/2) (-.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (tan.f64 x) -1/2) (-.f64 (*.f64 (tan.f64 x) 1/2) (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) 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eps))) (-.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) (/.f64 (tan.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) -1) (-.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) 1) (/.f64 (tan.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) 1) (-.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) -1) (/.f64 (tan.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) (-.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) 1) (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (-.f64 (*.f64 (tan.f64 x) 1/2) (/.f64 (tan.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) (-.f64 (+.f64 (*.f64 (tan.f64 x) 1/2) (*.f64 (tan.f64 (+.f64 x eps)) 2)) (/.f64 (tan.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (tan.f64 x) 1/2) (tan.f64 (+.f64 x eps)))) (-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (/.f64 (tan.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) (*.f64 2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (tan.f64 x) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (tan.f64 x) 2) (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (tan.f64 x) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps)))))))) |
| 1× | egg-herbie |
| 1160× | rational_best-simplify-56 |
| 908× | rational_best-simplify-65 |
| 782× | rational_best-simplify-64 |
| 672× | rational_best-simplify-66 |
| 624× | rational_best-simplify-3 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 622 | 14185 |
| 1 | 1644 | 13879 |
| 2 | 4270 | 11025 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 -1/2 x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/2 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/15 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/15 (pow.f64 x 5)) (*.f64 -17/630 (pow.f64 x 7))))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (-.f64 3/2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 3/2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 3/2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
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(+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
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(+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -1/2))) |
(+.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) (tan.f64 (+.f64 x eps))) |
(+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (tan.f64 x) -4)) |
(+.f64 (/.f64 (tan.f64 x) -4) (+.f64 (+.f64 -1 (/.f64 (tan.f64 x) -4)) 1)) |
(+.f64 (/.f64 (tan.f64 x) -4) (+.f64 (+.f64 1 (/.f64 (tan.f64 x) -4)) -1)) |
(+.f64 (/.f64 (tan.f64 x) -4) (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -4)) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) 1) -1) |
(+.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) -1) 1) |
(+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) (+.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) 1) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 (tan.f64 x) -1/2) -1)) (+.f64 1 (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -4)) (+.f64 (/.f64 (tan.f64 x) -4) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -4)) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 4)))) |
(+.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) (*.f64 (tan.f64 (+.f64 x eps)) 2)) (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 1/2 (/.f64 (-.f64 -1 (tan.f64 x)) 2)) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (neg.f64 (+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2))))) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))))) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)))) |
(+.f64 (+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (+.f64 (+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (neg.f64 (+.f64 (/.f64 (tan.f64 x) 4) (/.f64 (tan.f64 (+.f64 x eps)) 2)))) |
(+.f64 (+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 4)))) |
(+.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 (+.f64 x eps)))) |
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) 1)) (+.f64 (*.f64 (tan.f64 x) -1/2) 1)) |
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (*.f64 (tan.f64 x) -1/2)))) 1) |
(+.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) 2) (+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(+.f64 (/.f64 (neg.f64 (tan.f64 (+.f64 x eps))) 2) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(+.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) 1) 2) (/.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) -1) 2)) |
(+.f64 (/.f64 (/.f64 (tan.f64 x) -4) 2) (/.f64 (/.f64 (*.f64 (tan.f64 x) 3) -4) 2)) |
(+.f64 (/.f64 (tan.f64 x) -8) (/.f64 (*.f64 (tan.f64 x) 3) -8)) |
(+.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) 1/2) -1) -1) -1) |
(+.f64 (/.f64 (/.f64 (tan.f64 x) 4) -2) (/.f64 (*.f64 -3 (/.f64 (tan.f64 x) -4)) -2)) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 (+.f64 x eps))) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) -1) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2))))) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2))) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) 1)) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (*.f64 (tan.f64 x) 1/2) -1))) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (*.f64 (tan.f64 x) -1/2)))) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) -1)) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 -1 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)))) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) 1)) |
(*.f64 (tan.f64 x) -1/2) |
(*.f64 (*.f64 (tan.f64 x) 1/2) -1) |
(*.f64 (*.f64 (tan.f64 x) -1/2) 1) |
(*.f64 1 (*.f64 (tan.f64 x) -1/2)) |
(*.f64 (*.f64 (tan.f64 x) 2) -1/4) |
(*.f64 -1 (*.f64 (tan.f64 x) 1/2)) |
(*.f64 (neg.f64 (tan.f64 x)) 1/2) |
(*.f64 (*.f64 (tan.f64 x) 4) -1/8) |
(*.f64 (*.f64 (tan.f64 x) -2) 1/4) |
(*.f64 (neg.f64 (*.f64 (tan.f64 x) 4)) 1/8) |
(*.f64 1/2 (neg.f64 (tan.f64 x))) |
(*.f64 1/4 (*.f64 (tan.f64 x) -2)) |
(*.f64 1/8 (*.f64 (*.f64 (tan.f64 x) 4) -1)) |
(*.f64 -1/2 (tan.f64 x)) |
(*.f64 -1/4 (*.f64 (tan.f64 x) 2)) |
(*.f64 -1/8 (*.f64 (tan.f64 x) 4)) |
(*.f64 (*.f64 2 (*.f64 (tan.f64 x) 4)) -1/16) |
(/.f64 (tan.f64 x) -2) |
(/.f64 (*.f64 (tan.f64 x) 1/2) -1) |
(/.f64 (*.f64 (tan.f64 x) -1/2) 1) |
(/.f64 (*.f64 (tan.f64 x) 2) -4) |
(/.f64 (neg.f64 (tan.f64 x)) 2) |
(/.f64 (*.f64 (tan.f64 x) 4) -8) |
(/.f64 (*.f64 (tan.f64 x) -2) 4) |
(/.f64 (neg.f64 (*.f64 (tan.f64 x) 4)) 8) |
(/.f64 (*.f64 2 (*.f64 (tan.f64 x) 4)) -16) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (tan.f64 x) 4)) -1) 16) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (tan.f64 x) 4)) (*.f64 2 (*.f64 (tan.f64 x) 4))) -32) |
(/.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 x) 4)) (neg.f64 (*.f64 (tan.f64 x) 4))) 16) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)))) 4) |
(pow.f64 (*.f64 (tan.f64 x) -1/2) 1) |
(neg.f64 (*.f64 (tan.f64 x) 1/2)) |
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -1/2)) |
(-.f64 (tan.f64 x) (-.f64 (*.f64 (tan.f64 x) 1/2) (tan.f64 (+.f64 x eps)))) |
(-.f64 (*.f64 (tan.f64 x) 1/2) (neg.f64 (tan.f64 (+.f64 x eps)))) |
(-.f64 (*.f64 (tan.f64 x) 1/2) (-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) 0) |
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 0 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps)))) |
(-.f64 -1 (-.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) -1) (tan.f64 (+.f64 x eps)))) |
(-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (-.f64 (*.f64 (tan.f64 x) -1/2) (*.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (-.f64 (*.f64 (tan.f64 x) 1/2) (tan.f64 (+.f64 x eps))) (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(-.f64 (-.f64 (*.f64 (tan.f64 x) 1/2) (tan.f64 (+.f64 x eps))) (-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (tan.f64 (+.f64 x eps)))) |
(-.f64 (-.f64 (*.f64 (tan.f64 x) 1/2) (tan.f64 (+.f64 x eps))) (-.f64 0 (*.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (/.f64 (tan.f64 x) 4) (+.f64 (/.f64 (tan.f64 x) -4) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(-.f64 (/.f64 (tan.f64 x) 4) (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (/.f64 (tan.f64 x) -4))) |
(-.f64 (/.f64 (tan.f64 x) 4) (-.f64 (/.f64 (tan.f64 x) -4) (tan.f64 (+.f64 x eps)))) |
(-.f64 (/.f64 (tan.f64 x) 4) (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -4)) (*.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (/.f64 (tan.f64 x) 4) (-.f64 0 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 4)))) |
(-.f64 (/.f64 (tan.f64 x) 4) (-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (/.f64 (tan.f64 x) 4))) |
(-.f64 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2))) |
(-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -1/2))) |
(-.f64 (+.f64 (*.f64 (tan.f64 x) 1/2) (*.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 (+.f64 x eps))) |
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 4)) (/.f64 (tan.f64 x) -4)) |
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 4)) (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -4)) (tan.f64 (+.f64 x eps)))) |
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (*.f64 (tan.f64 x) -1/2))) 1) |
(-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (tan.f64 x) -1/2) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (+.f64 (/.f64 (tan.f64 x) 4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (/.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) 2)) |
(-.f64 (+.f64 (/.f64 (tan.f64 x) 4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (/.f64 (tan.f64 x) -4) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (+.f64 (/.f64 (tan.f64 x) 4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 (+.f64 x eps)))) |
(-.f64 (+.f64 -1 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2))) -1) |
(-.f64 (-.f64 1 (*.f64 (tan.f64 x) -1/2)) (-.f64 1 (tan.f64 (+.f64 x eps)))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2))) (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) 1/2)) (-.f64 0 (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 (+.f64 x eps))) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(-.f64 (-.f64 (tan.f64 x) (neg.f64 (tan.f64 (+.f64 x eps)))) (*.f64 (tan.f64 x) 1/2)) |
(-.f64 (-.f64 (/.f64 (tan.f64 x) 4) (neg.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (tan.f64 x) -4)) |
(-.f64 (-.f64 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)) (neg.f64 (tan.f64 (+.f64 x eps)))) (+.f64 (*.f64 (tan.f64 x) 1/2) (*.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) (tan.f64 (+.f64 x eps)))) |
(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -4))) (-.f64 (/.f64 (tan.f64 x) -4) (tan.f64 (+.f64 x eps)))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps)))) (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (neg.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) -1/2)) (-.f64 0 (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (*.f64 (tan.f64 x) -1/2) -1)) (-.f64 1 (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (*.f64 (tan.f64 x) -1/2) 1)) (-.f64 -1 (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -1/2))) (-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 (+.f64 x eps))) (-.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) -1) (-.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) 1) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) 1) (-.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) -1) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) (-.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) 1) (tan.f64 (+.f64 x eps)))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (-.f64 (*.f64 (tan.f64 x) 1/2) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) (-.f64 (+.f64 (*.f64 (tan.f64 x) 1/2) (*.f64 (tan.f64 (+.f64 x eps)) 2)) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (tan.f64 x) 1/2) (tan.f64 (+.f64 x eps)))) (-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) 1) |
(*.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2))) |
(*.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) -1) |
(*.f64 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)) 1/2) |
(*.f64 1/2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) |
(*.f64 (*.f64 2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) 1/4) |
(/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) 1) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) -1) |
(/.f64 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)) 2) |
(/.f64 (*.f64 2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) 4) |
(/.f64 (+.f64 (*.f64 2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) (*.f64 2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)))) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (tan.f64 x) 2)) 4) |
(/.f64 (+.f64 (*.f64 (tan.f64 x) 2) (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2))) 4) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (tan.f64 x) -2)) 4) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x))) 2) |
(pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) 1) |
(neg.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps)))) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
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(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2))) (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) 1/2)) (-.f64 0 (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 (+.f64 x eps))) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (tan.f64 x) (neg.f64 (tan.f64 (+.f64 x eps)))) (*.f64 (tan.f64 x) 1/2)) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (/.f64 (tan.f64 x) 4) (neg.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (tan.f64 x) -4)) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)) (neg.f64 (tan.f64 (+.f64 x eps)))) (+.f64 (*.f64 (tan.f64 x) 1/2) (*.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) (tan.f64 (+.f64 x eps)))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -4))) (-.f64 (/.f64 (tan.f64 x) -4) (tan.f64 (+.f64 x eps)))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps)))) (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (neg.f64 (tan.f64 (+.f64 x eps)))) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) -1/2)) (-.f64 0 (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (*.f64 (tan.f64 x) -1/2) -1)) (-.f64 1 (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (*.f64 (tan.f64 x) -1/2) 1)) (-.f64 -1 (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -1/2))) (-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 (+.f64 x eps))) (-.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) -1) (-.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) 1) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) 1) (-.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) -1) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) (-.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) 1) (tan.f64 (+.f64 x eps)))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (-.f64 (*.f64 (tan.f64 x) 1/2) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) (-.f64 (+.f64 (*.f64 (tan.f64 x) 1/2) (*.f64 (tan.f64 (+.f64 x eps)) 2)) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (/.f64 (tan.f64 (+.f64 eps x)) 2) (-.f64 (+.f64 (*.f64 1/2 (tan.f64 x)) (*.f64 2 (tan.f64 (+.f64 eps x)))) (+.f64 (+.f64 (tan.f64 x) (*.f64 2 (tan.f64 (+.f64 eps x)))) (/.f64 (tan.f64 (+.f64 eps x)) 2)))) |
(-.f64 (/.f64 (tan.f64 (+.f64 eps x)) 2) (+.f64 (-.f64 -1 (*.f64 -1/2 (tan.f64 x))) (-.f64 1 (+.f64 (tan.f64 x) (/.f64 (tan.f64 (+.f64 eps x)) 2))))) |
(-.f64 (*.f64 1/2 (tan.f64 (+.f64 eps x))) (+.f64 (-.f64 -1 (*.f64 -1/2 (tan.f64 x))) (-.f64 1 (+.f64 (tan.f64 x) (*.f64 1/2 (tan.f64 (+.f64 eps x))))))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (tan.f64 x) 1/2) (tan.f64 (+.f64 x eps)))) (-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) 1) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(*.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(*.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) -1) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(*.f64 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)) 1/2) |
(*.f64 1/2 (+.f64 (tan.f64 x) (*.f64 2 (tan.f64 (+.f64 eps x))))) |
(*.f64 1/2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) |
(*.f64 1/2 (+.f64 (tan.f64 x) (*.f64 2 (tan.f64 (+.f64 eps x))))) |
(*.f64 (*.f64 2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) 1/4) |
(*.f64 1/2 (+.f64 (tan.f64 x) (*.f64 2 (tan.f64 (+.f64 eps x))))) |
(/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) 1) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps))) -1) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(/.f64 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)) 2) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(/.f64 (*.f64 2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) 4) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(/.f64 (+.f64 (*.f64 2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2))) (*.f64 2 (+.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 x eps)) 2)))) 8) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (tan.f64 x) 2)) 4) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(/.f64 (+.f64 (*.f64 (tan.f64 x) 2) (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2))) 4) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (tan.f64 x) -2)) 4) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x))) 2) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) 1) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
(neg.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (tan.f64 (+.f64 x eps)))) |
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 -1/2 (tan.f64 x))) |
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 1/2 (tan.f64 x))) |
Compiled 59822 to 27903 computations (53.4% saved)
61 alts after pruning (58 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1876 | 53 | 1929 |
| Fresh | 13 | 5 | 18 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1892 | 61 | 1953 |
| Status | Error | Program |
|---|---|---|
| ▶ | 24.2b | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
| 35.5b | (-.f64 (/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 58.6b | (-.f64 (/.f64 (/.f64 (+.f64 (+.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 eps x)))) (+.f64 (cos.f64 (-.f64 (+.f64 eps x) (*.f64 (PI.f64) 1/2))) (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps))))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 58.2b | (-.f64 (/.f64 (/.f64 (+.f64 (+.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps)))) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 x) 2))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 58.6b | (-.f64 (/.f64 (/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 (+.f64 eps x) (*.f64 (PI.f64) 1/2))) (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps)))) (+.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 eps x))) (cos.f64 (-.f64 (+.f64 eps x) (*.f64 (PI.f64) 1/2))))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 58.5b | (-.f64 (/.f64 (/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 (+.f64 eps x) (*.f64 (PI.f64) 1/2))) (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps)))) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 x) 2))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 57.9b | (-.f64 (/.f64 (/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 eps x))) (cos.f64 (-.f64 (+.f64 eps x) (*.f64 (PI.f64) 1/2)))) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) 2))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 58.0b | (-.f64 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 eps x) (*.f64 1/2 (PI.f64)))) (+.f64 (cos.f64 (+.f64 x (-.f64 (*.f64 1/2 (PI.f64)) eps))) (*.f64 2 (sin.f64 (+.f64 x eps))))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.7b | (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 (neg.f64 eps))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)) (sin.f64 (neg.f64 eps)))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.4b | (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| ▶ | 35.5b | (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| ▶ | 35.2b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 57.4b | (-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (-.f64 eps x) (*.f64 1/2 (PI.f64))))) 2)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.3b | (-.f64 (/.f64 (tan.f64 x) -4) (-.f64 (*.f64 (tan.f64 x) 3/4) (tan.f64 (+.f64 eps x)))) | |
| 35.3b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps))) 2)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.4b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (/.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps)))) 2)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.2b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) 2) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.2b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps))) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 53.0b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (+.f64 (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x eps)))) (cos.f64 (+.f64 0 (neg.f64 (-.f64 eps x))))) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.2b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 50.5b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 50.9b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.0b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 60.1b | (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 61.0b | (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) | |
| ▶ | 36.8b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 36.6b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) | |
| 58.4b | (-.f64 (/.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 eps x))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 44.0b | (-.f64 (-.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) (tan.f64 x)) -1) | |
| 35.2b | (-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.5b | (-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.2b | (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (*.f64 (tan.f64 x) 2)) | |
| 36.3b | (-.f64 (*.f64 (tan.f64 x) 2) (+.f64 (*.f64 (tan.f64 x) 3) (neg.f64 (tan.f64 (+.f64 x eps))))) | |
| 36.2b | (-.f64 (*.f64 (tan.f64 x) -3) (-.f64 (*.f64 (tan.f64 x) -2) (tan.f64 (+.f64 x eps)))) | |
| 36.2b | (-.f64 (*.f64 2 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 3 (tan.f64 x)))) | |
| ✓ | 36.1b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 36.4b | (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (*.f64 (tan.f64 x) -3) (/.f64 (tan.f64 x) 1/4))) | |
| 28.8b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (cos.f64 eps))) | |
| ✓ | 26.8b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
| 43.0b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) eps) | |
| 26.9b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps))) | |
| 31.2b | (+.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (*.f64 (+.f64 1/6 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (pow.f64 eps 3))) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) | |
| 28.8b | (+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) | |
| 43.6b | (+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) (-.f64 1 (tan.f64 x))) | |
| 36.4b | (+.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (*.f64 (tan.f64 x) 3)) (tan.f64 x)) | |
| 36.4b | (+.f64 (-.f64 (*.f64 (tan.f64 x) 2) (+.f64 (*.f64 (tan.f64 x) 4) (neg.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x)) | |
| 36.4b | (+.f64 (-.f64 (*.f64 (tan.f64 x) -4) (-.f64 (*.f64 (tan.f64 x) -2) (tan.f64 (+.f64 x eps)))) (tan.f64 x)) | |
| 45.6b | (+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) (+.f64 1 (neg.f64 x))) | |
| ▶ | 44.2b | (+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) 1) |
| 35.2b | (+.f64 (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (*.f64 -2 (cos.f64 x)))) (neg.f64 (-.f64 (/.f64 (sin.f64 x) (*.f64 2 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 x eps)))))) | |
| 53.7b | (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))))) (tan.f64 x)) | |
| 37.7b | (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 x))) (tan.f64 x)) | |
| 36.6b | (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (tan.f64 x) -2)) (tan.f64 x)) | |
| 31.3b | (+.f64 (+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (*.f64 -1 (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/6 (pow.f64 (cos.f64 x) 2))))))) (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/6 (pow.f64 (cos.f64 x) 2))))))) (cos.f64 x)) (*.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) -1/3)) (pow.f64 eps 4))))) | |
| 53.9b | (+.f64 (+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 (pow.f64 eps 3) (neg.f64 (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) (+.f64 (*.f64 (sin.f64 x) (/.f64 -2 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 2))) (cos.f64 x)))))) (tan.f64 x)) | |
| 37.4b | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (tan.f64 x) 2)))) | |
| 37.8b | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (*.f64 x -1/2)) | |
| ✓ | 36.2b | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) (tan.f64 x)) |
| 31.1b | (+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) | |
| 30.7b | (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) | |
| 61.1b | 0 |
Compiled 3715 to 2448 computations (34.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
Compiled 12 to 5 computations (58.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) | |
| 3.1b | (tan.f64 (+.f64 x eps)) | |
| ✓ | 4.1b | (+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) 1) |
Compiled 34 to 13 computations (61.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | 0 | (+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) 1) |
| 0.0ms | eps | @ | 0 | (+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) 1) |
| 0.0ms | x | @ | inf | (+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) 1) |
| 0.0ms | x | @ | -inf | (+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) 1) |
| 0.0ms | eps | @ | -inf | (+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) 1) |
| 1× | batch-egg-rewrite |
| 1222× | rational_best-simplify-83 |
| 1098× | rational_best-simplify-51 |
| 934× | rational_best-simplify-57 |
| 648× | rational_best-simplify-65 |
| 562× | rational_best-4 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 27 |
| 1 | 79 | 21 |
| 2 | 150 | 11 |
| 3 | 425 | 11 |
| 4 | 1581 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) (+.f64 (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) 2) (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 -2 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (tan.f64 (+.f64 x eps)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 (+.f64 x eps))) (+.f64 (+.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (+.f64 -1/2 (-.f64 1 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (-.f64 (+.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 (tan.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1/2 (-.f64 (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1/2 (+.f64 (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) 2) (/.f64 (tan.f64 (+.f64 x eps)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (tan.f64 (+.f64 x eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2)) (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2) (/.f64 (tan.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) -2) (+.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (tan.f64 (+.f64 x eps)) -4)) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) -4) (/.f64 (tan.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (tan.f64 (+.f64 x eps)) -2)) (-.f64 0 (/.f64 (tan.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (+.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) -2))) (-.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) -1/2) (-.f64 (+.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 (tan.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 0 (/.f64 (tan.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) 1/2) (-.f64 (+.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 (tan.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) -1/2) (-.f64 (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) 2) (/.f64 (tan.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2))) (-.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) -2)) (-.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (tan.f64 (+.f64 x eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (tan.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (tan.f64 (+.f64 x eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (tan.f64 (+.f64 x eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 (tan.f64 (+.f64 x eps)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) -4)) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (tan.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) -4)) -1) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 (+.f64 x eps)))))) |
| 1× | egg-herbie |
| 1114× | rational_best-simplify-3 |
| 1114× | rational_best-simplify-66 |
| 1032× | rational_best-simplify-75 |
| 1020× | rational_best-simplify-63 |
| 640× | rational_best-simplify-62 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 2431 |
| 1 | 490 | 2363 |
| 2 | 1171 | 2303 |
| 3 | 4628 | 2277 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(-.f64 -1 (-.f64 -1 (tan.f64 (+.f64 x eps)))) |
(-.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) -1) |
(-.f64 (+.f64 -1 (tan.f64 (+.f64 x eps))) (+.f64 (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) 2) (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2)))) |
(-.f64 1 (-.f64 1 (tan.f64 (+.f64 x eps)))) |
(-.f64 (tan.f64 (+.f64 x eps)) 0) |
(-.f64 0 (neg.f64 (tan.f64 (+.f64 x eps)))) |
(-.f64 -2 (-.f64 -2 (tan.f64 (+.f64 x eps)))) |
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) -2) -2) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 x eps))) 1) |
(-.f64 (+.f64 1 (tan.f64 (+.f64 x eps))) (+.f64 (+.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) -2))) |
(-.f64 1/2 (+.f64 -1/2 (-.f64 1 (tan.f64 (+.f64 x eps))))) |
(-.f64 1/2 (-.f64 (+.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 -1/2 (-.f64 (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 -1/2 (+.f64 (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) 2) (/.f64 (tan.f64 (+.f64 x eps)) -2))) |
(-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (tan.f64 (+.f64 x eps)) -2)) |
(-.f64 (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2)) (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) 2)) |
(-.f64 (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2) (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(-.f64 (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) -2) (+.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) -2))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (tan.f64 (+.f64 x eps)) -4)) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) -4) (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (tan.f64 (+.f64 x eps)) -2)) (-.f64 0 (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (+.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) -2))) (-.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) -1/2) (-.f64 (+.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 0 (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) 1/2) (-.f64 (+.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) -1/2) (-.f64 (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) 2) (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2))) (-.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) -2)) (-.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(*.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) |
(*.f64 (neg.f64 (tan.f64 (+.f64 x eps))) -1) |
(*.f64 1 (tan.f64 (+.f64 x eps))) |
(*.f64 (tan.f64 (+.f64 x eps)) 1) |
(*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 1/2)) |
(*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 1/2) |
(*.f64 -2 (/.f64 (tan.f64 (+.f64 x eps)) -2)) |
(*.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) -1/2) |
(*.f64 1/2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) |
(*.f64 -1/2 (*.f64 (tan.f64 (+.f64 x eps)) -2)) |
(*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) 1/4) |
(*.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) -1/4) |
(*.f64 1/4 (*.f64 (tan.f64 (+.f64 x eps)) 4)) |
(*.f64 1/4 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) -1)) |
(*.f64 -1/4 (*.f64 (tan.f64 (+.f64 x eps)) -4)) |
(*.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) -4)) -1/8) |
(*.f64 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 4) 1/8) |
(/.f64 (neg.f64 (tan.f64 (+.f64 x eps))) -1) |
(/.f64 (tan.f64 (+.f64 x eps)) 1) |
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 2) |
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) -2) |
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) 4) |
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) -4) |
(/.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) -4)) -8) |
(/.f64 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 4) 8) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) -4)) -1) 8) |
(pow.f64 (tan.f64 (+.f64 x eps)) 1) |
(neg.f64 (neg.f64 (tan.f64 (+.f64 x eps)))) |
(tan.f64 (+.f64 x eps)) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2)))) (cos.f64 eps))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 3) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 1/6 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2)))))) -1))))) |
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(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) -1/2) (-.f64 (+.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(tan.f64 (+.f64 eps x)) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 0 (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(tan.f64 (+.f64 eps x)) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) 1/2) (-.f64 (+.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(tan.f64 (+.f64 eps x)) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) -1/2) (-.f64 (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) 2) (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(tan.f64 (+.f64 eps x)) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (+.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 2))) (-.f64 -1/2 (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(tan.f64 (+.f64 eps x)) |
(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (-.f64 -1 (tan.f64 (+.f64 x eps))) -2)) (-.f64 1/2 (/.f64 (tan.f64 (+.f64 x eps)) 4))) |
(tan.f64 (+.f64 eps x)) |
(*.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) |
(tan.f64 (+.f64 eps x)) |
(*.f64 (neg.f64 (tan.f64 (+.f64 x eps))) -1) |
(tan.f64 (+.f64 eps x)) |
(*.f64 1 (tan.f64 (+.f64 x eps))) |
(tan.f64 (+.f64 eps x)) |
(*.f64 (tan.f64 (+.f64 x eps)) 1) |
(tan.f64 (+.f64 eps x)) |
(*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 1/2)) |
(tan.f64 (+.f64 eps x)) |
(*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 1/2) |
(tan.f64 (+.f64 eps x)) |
(*.f64 -2 (/.f64 (tan.f64 (+.f64 x eps)) -2)) |
(tan.f64 (+.f64 eps x)) |
(*.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) -1/2) |
(tan.f64 (+.f64 eps x)) |
(*.f64 1/2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) |
(tan.f64 (+.f64 eps x)) |
(*.f64 -1/2 (*.f64 (tan.f64 (+.f64 x eps)) -2)) |
(tan.f64 (+.f64 eps x)) |
(*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) 1/4) |
(tan.f64 (+.f64 eps x)) |
(*.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) -1/4) |
(tan.f64 (+.f64 eps x)) |
(*.f64 1/4 (*.f64 (tan.f64 (+.f64 x eps)) 4)) |
(tan.f64 (+.f64 eps x)) |
(*.f64 1/4 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) -1)) |
(tan.f64 (+.f64 eps x)) |
(*.f64 -1/4 (*.f64 (tan.f64 (+.f64 x eps)) -4)) |
(tan.f64 (+.f64 eps x)) |
(*.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) -4)) -1/8) |
(tan.f64 (+.f64 eps x)) |
(*.f64 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 4) 1/8) |
(tan.f64 (+.f64 eps x)) |
(/.f64 (neg.f64 (tan.f64 (+.f64 x eps))) -1) |
(tan.f64 (+.f64 eps x)) |
(/.f64 (tan.f64 (+.f64 x eps)) 1) |
(tan.f64 (+.f64 eps x)) |
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 2) |
(tan.f64 (+.f64 eps x)) |
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) -2) |
(tan.f64 (+.f64 eps x)) |
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) 4) |
(tan.f64 (+.f64 eps x)) |
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) -4) |
(tan.f64 (+.f64 eps x)) |
(/.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) -4)) -8) |
(tan.f64 (+.f64 eps x)) |
(/.f64 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) 4) 8) |
(tan.f64 (+.f64 eps x)) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) -4)) -1) 8) |
(tan.f64 (+.f64 eps x)) |
(pow.f64 (tan.f64 (+.f64 x eps)) 1) |
(tan.f64 (+.f64 eps x)) |
(neg.f64 (neg.f64 (tan.f64 (+.f64 x eps)))) |
(tan.f64 (+.f64 eps x)) |
(tan.f64 (+.f64 x eps)) |
(tan.f64 (+.f64 eps x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| ✓ | 0.2b | (/.f64 (sin.f64 x) (cos.f64 x)) |
| ✓ | 0.2b | (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) |
| 3.1b | (cos.f64 (+.f64 eps x)) |
Compiled 42 to 10 computations (76.2% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | 0 | (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) |
| 1.0ms | eps | @ | 0 | (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) |
| 1.0ms | eps | @ | -inf | (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) |
| 1.0ms | eps | @ | inf | (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 986× | rational_best-simplify-1 |
| 582× | rational_best-4 |
| 582× | rational_best-2 |
| 582× | rational_best-3 |
| 582× | rational_best-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 77 |
| 1 | 99 | 77 |
| 2 | 304 | 77 |
| 3 | 1231 | 77 |
| 4 | 7863 | 77 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 0)) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 0)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 0)) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 0)) (cos.f64 (+.f64 eps x)))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 0 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (/.f64 0 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (sin.f64 0) (/.f64 0 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (+.f64 (sin.f64 0) (/.f64 0 (cos.f64 x))) (/.f64 0 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (+.f64 (sin.f64 0) (/.f64 0 (cos.f64 x))) (+.f64 (sin.f64 0) (/.f64 0 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 0 (/.f64 (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 0 (cos.f64 x)) (/.f64 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(sin.f64 x) (cos.f64 x))) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (*.f64 (sin.f64 eps) 4) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (sin.f64 x) 4) (cos.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 (+.f64 eps x))) (/.f64 1 (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 1/2 (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (cos.f64 (+.f64 eps x))) (/.f64 2 (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 1 (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (cos.f64 (+.f64 eps x))) (/.f64 4 (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 2 (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))))) |
| 1× | egg-herbie |
| 1394× | rational_best-simplify-1 |
| 1162× | rational_best-simplify-54 |
| 830× | rational_best-simplify-108 |
| 614× | rational_best-simplify-3 |
| 562× | rational_best-simplify-48 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 492 | 8541 |
| 1 | 1365 | 8047 |
| 2 | 4688 | 7825 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 eps (cos.f64 x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x))) |
(+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 x)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x)))) |
(+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 x)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 x))))) (sin.f64 x)) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x))))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
x |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) |
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 eps (cos.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 eps (cos.f64 x)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 x)))))) (+.f64 (/.f64 eps (cos.f64 x)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/3 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 0) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 0)) (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 0)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 0)) (cos.f64 (+.f64 eps x))))) |
(+.f64 0 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) 2))) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 0)) (cos.f64 (+.f64 eps x))))) |
(+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 0)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) 2)) 2) (/.f64 (/.f64 (*.f64 (sin.f64 eps) 3) (*.f64 (cos.f64 (+.f64 eps x)) 2)) 2)) |
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) 4)) (/.f64 (*.f64 (sin.f64 eps) 3) (*.f64 (cos.f64 (+.f64 eps x)) 4))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 0) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 0)) (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (neg.f64 (*.f64 (cos.f64 eps) (sin.f64 0))) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (sin.f64 0) (cos.f64 (-.f64 0 (neg.f64 eps)))) (cos.f64 (+.f64 eps x)))) |
(-.f64 0 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) -2))) |
(-.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2)) |
(-.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (sin.f64 eps) 3) (*.f64 (cos.f64 (+.f64 eps x)) 2)) 2) (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) -2)) 2)) |
(-.f64 (/.f64 (*.f64 (sin.f64 eps) 3) (*.f64 (cos.f64 (+.f64 eps x)) 4)) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) 4))) |
(-.f64 (/.f64 (*.f64 (sin.f64 0) (cos.f64 (neg.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (/.f64 (-.f64 (sin.f64 (neg.f64 eps)) (sin.f64 eps)) 2) (cos.f64 (+.f64 eps x)))) |
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 1) |
(*.f64 1 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) |
(*.f64 (*.f64 (sin.f64 eps) 2) (/.f64 1/2 (cos.f64 (+.f64 eps x)))) |
(*.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 (+.f64 eps x)) 2)) 1/2) |
(*.f64 (*.f64 (sin.f64 eps) 4) (/.f64 (/.f64 1/2 (cos.f64 (+.f64 eps x))) 2)) |
(*.f64 1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 (+.f64 eps x)) 2))) |
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)) |
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(*.f64 (/.f64 1/2 (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 eps) 2)) |
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(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (+.f64 (sin.f64 0) (/.f64 0 (cos.f64 x)))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(+.f64 (-.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) 1) |
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1) |
(*.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) -1) |
(*.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) 1/2) |
(*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) |
(*.f64 1/2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) |
(*.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) 1/4) |
(*.f64 1/4 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2))) |
(/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1) |
(/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (cos.f64 x) (cos.f64 x))) |
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) -1) |
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) 2) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) 4) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2))) 8) |
(/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 eps) 4) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (sin.f64 x) 4) (cos.f64 x))) 4) |
(/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 (+.f64 eps x))) (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 1/2 (cos.f64 (+.f64 eps x)))) |
(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (cos.f64 (+.f64 eps x))) (/.f64 2 (cos.f64 (+.f64 eps x)))) |
(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (cos.f64 (+.f64 eps x))) (/.f64 4 (cos.f64 (+.f64 eps x)))) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 2 (cos.f64 (+.f64 eps x)))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1) |
(neg.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) |
| Outputs |
|---|
(/.f64 eps (cos.f64 x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x))) |
(+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 x)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x)))) |
(+.f64 (/.f64 eps (cos.f64 x)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 (/.f64 1 (cos.f64 x)) 1/6)))))) |
(+.f64 (+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 1 (/.f64 1/6 (cos.f64 x))))))) |
(+.f64 (/.f64 eps (cos.f64 x)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 eps 3) (-.f64 (/.f64 1/2 (cos.f64 x)) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (/.f64 1/6 (cos.f64 x))))))) |
(+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 x)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 x))))) (sin.f64 x)) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x))))) |
(+.f64 (+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) (/.f64 -1/2 (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 (/.f64 1 (cos.f64 x)) 1/6)))) (/.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 1/6 (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 4) -1)) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 (/.f64 1 (cos.f64 x)) 1/6)))))) |
(+.f64 (+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 1 (/.f64 1/6 (cos.f64 x)))))) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 1 (/.f64 1/6 (cos.f64 x)))))) (cos.f64 x))) (+.f64 (*.f64 (sin.f64 x) (/.f64 -1/2 (pow.f64 (cos.f64 x) 2))) (*.f64 1/6 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (pow.f64 eps 4))))) |
(+.f64 (+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (/.f64 1/2 (cos.f64 x)) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (/.f64 1/6 (cos.f64 x))))) (*.f64 (pow.f64 eps 4) (neg.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 1/2 (cos.f64 x)) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (/.f64 1/6 (cos.f64 x))))) (cos.f64 x))) (+.f64 (*.f64 (sin.f64 x) (/.f64 1/6 (pow.f64 (cos.f64 x) 2))) (*.f64 (sin.f64 x) (/.f64 -1/2 (pow.f64 (cos.f64 x) 2))))))))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (neg.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (neg.f64 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (neg.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (neg.f64 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (neg.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (neg.f64 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (*.f64 -1 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (neg.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (neg.f64 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (*.f64 (pow.f64 x 2) (neg.f64 (+.f64 (*.f64 (sin.f64 eps) (/.f64 -1/2 (cos.f64 eps))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 (sin.f64 eps) (/.f64 -1/2 (cos.f64 eps))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (pow.f64 x 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (cos.f64 eps)) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1/2 (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (/.f64 -1/2 (cos.f64 eps))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (cos.f64 eps)) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 (sin.f64 eps) (/.f64 -1/2 (cos.f64 eps))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (+.f64 (*.f64 (+.f64 (*.f64 (sin.f64 eps) (/.f64 -1/2 (cos.f64 eps))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1/2 (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (/.f64 -1/2 (cos.f64 eps))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (cos.f64 eps)) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3))))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (neg.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (neg.f64 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (neg.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (neg.f64 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (neg.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (neg.f64 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 x (neg.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (-.f64 eps (neg.f64 x)))) |
x |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x) |
(+.f64 x (*.f64 (pow.f64 x 3) 1/3)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(+.f64 x (+.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 (pow.f64 x 3) 1/3))) |
(+.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 2/15 (pow.f64 x 5)))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) |
(+.f64 (+.f64 x (*.f64 2/15 (pow.f64 x 5))) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 17/315 (pow.f64 x 7)))) |
(+.f64 (+.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 2/15 (pow.f64 x 5)))) (*.f64 17/315 (pow.f64 x 7))) |
(+.f64 (*.f64 (pow.f64 x 3) 1/3) (+.f64 (+.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 17/315 (pow.f64 x 7)))) |
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 -1 (cos.f64 x))) |
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) |
(+.f64 (/.f64 eps (cos.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 -1 (cos.f64 x)))) |
(+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 eps (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 eps (cos.f64 x)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (/.f64 eps (cos.f64 x)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (/.f64 -1 (cos.f64 x))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (-.f64 (/.f64 eps (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
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(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) -1) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) 1/2) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 1/2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) 1/4) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 1/4 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (cos.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (cos.f64 x) (cos.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) -1) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) 2) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) 4) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2))) 8) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 eps) 4) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (sin.f64 x) 4) (cos.f64 x))) 4) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 (+.f64 eps x))) (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 1/2 (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (cos.f64 (+.f64 eps x))) (/.f64 2 (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (cos.f64 (+.f64 eps x))) (/.f64 4 (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 2 (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(neg.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 (sin.f64 x) (cos.f64 x)) | |
| ✓ | 0.2b | (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) |
| ✓ | 2.9b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 3.1b | (cos.f64 (+.f64 eps x)) |
Compiled 83 to 14 computations (83.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | eps | @ | inf | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 4.0ms | x | @ | inf | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 3.0ms | eps | @ | 0 | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 3.0ms | eps | @ | -inf | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 2.0ms | x | @ | -inf | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 898× | rational_best-4 |
| 898× | rational_best-2 |
| 898× | rational_best-3 |
| 898× | rational_best-1 |
| 898× | exponential-1 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 122 |
| 1 | 130 | 122 |
| 2 | 408 | 74 |
| 3 | 1880 | 74 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (/.f64 0 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (/.f64 0 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (+.f64 (/.f64 0 (cos.f64 x)) (/.f64 0 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 0 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (cos.f64 x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 0 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) 2)) (neg.f64 (-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(cos.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) (/.f64 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2))) 2) (/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2))) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps)))) (/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) 3) (*.f64 (cos.f64 (+.f64 x eps)) 4)) (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2))) 2) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) -2) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2))) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) -2) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 1/2 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 x eps)) 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 (+.f64 x eps))) (*.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 x eps)) 4)) (*.f64 (sin.f64 (+.f64 x eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) 4) (cos.f64 (+.f64 x eps))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) 4) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sin.f64 (+.f64 x eps)) 4)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 2 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 1))))) |
| 1× | egg-herbie |
| 1494× | rational_best-simplify-50 |
| 1328× | rational_best-simplify-57 |
| 966× | rational_best-simplify-1 |
| 958× | rational_best-simplify-51 |
| 828× | rational_best-simplify-108 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 556 | 10697 |
| 1 | 1564 | 10341 |
| 2 | 5088 | 10301 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))))) |
(+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))) (pow.f64 eps 3)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) |
(+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))) (pow.f64 eps 3)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (sin.f64 x)) (cos.f64 x)))))))))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
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(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (-.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(-.f64 (-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) (/.f64 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(-.f64 (-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(-.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2))) 2) (/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) 2)) |
(-.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps))))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2))) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps)))) (/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps))))) |
(-.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) 3) (*.f64 (cos.f64 (+.f64 x eps)) 4)) (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 4))) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2))) 2) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) -2) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) 2)) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2))) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) -2) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps))))) |
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) |
(*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 1) |
(*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) |
(*.f64 1 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) |
(*.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 1/2 (cos.f64 (+.f64 x eps)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2) 1/2) |
(*.f64 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps))))) |
(*.f64 (*.f64 (sin.f64 (+.f64 x eps)) 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 x eps)) 4))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2)) |
(*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) |
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 x eps))) (*.f64 (sin.f64 (+.f64 x eps)) 2)) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 x eps)) 4)) (*.f64 (sin.f64 (+.f64 x eps)) 4)) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) 4) (cos.f64 (+.f64 x eps))) 1/4) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) 4) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) (cos.f64 (+.f64 x eps))))) |
(*.f64 (*.f64 2 (*.f64 (sin.f64 (+.f64 x eps)) 4)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 4)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 x eps))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 2 (cos.f64 (+.f64 x eps))))) |
(pow.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 1) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 (sin.f64 eps) (/.f64 -1 (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 x 2) (neg.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 (sin.f64 eps) (/.f64 -1 (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1/2 (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3)))))) |
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (+.f64 (*.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -3/2)) (pow.f64 x 3)) (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))))) |
(+.f64 (*.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -3/2)) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps (*.f64 x -1)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps (*.f64 x -1)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps (*.f64 x -1)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps (*.f64 x -1)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) -1))) |
(+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (pow.f64 eps 2)))) |
(+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (pow.f64 eps 2)))) |
(+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))) (pow.f64 eps 3)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) -1)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (pow.f64 eps 3)))) |
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(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 2)) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (*.f64 -2 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 4))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 2 (cos.f64 (+.f64 eps x)))) (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) -2) (*.f64 4 (cos.f64 (+.f64 eps x))))) |
(-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) 2) (/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps)))) (cos.f64 (+.f64 x eps)))) |
(-.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x)))) (/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps)))) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (-.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(-.f64 (-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) (/.f64 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(-.f64 (-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(-.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2))) 2) (/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 2 (cos.f64 (+.f64 eps x))))) (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 2 (cos.f64 (+.f64 eps x))))) 2) |
(-.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (/.f64 (sin.f64 (+.f64 eps x)) 2)) (*.f64 2 (cos.f64 (+.f64 eps x)))) (/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) 4) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (/.f64 (sin.f64 (+.f64 eps x)) 2)) (*.f64 2 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) -4))) |
(-.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2))) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps)))) (/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps))))) |
(/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 2 (cos.f64 (+.f64 eps x))))) (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 2 (cos.f64 (+.f64 eps x))))) 2) |
(-.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (/.f64 (sin.f64 (+.f64 eps x)) 2)) (*.f64 2 (cos.f64 (+.f64 eps x)))) (/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) 4) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (/.f64 (sin.f64 (+.f64 eps x)) 2)) (*.f64 2 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) -4))) |
(-.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) 3) (*.f64 (cos.f64 (+.f64 x eps)) 4)) (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 4))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2))) 2) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) -2) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 2 (cos.f64 (+.f64 eps x)))) (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x)))) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) -2) (sin.f64 (+.f64 eps x))) (*.f64 2 (cos.f64 (+.f64 eps x))))) 2) |
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) 2)) (*.f64 2 (cos.f64 (+.f64 eps x)))) (/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 x) -2)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x))) 4)) |
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) 2)) (*.f64 2 (cos.f64 (+.f64 eps x)))) (/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 x) -2)) (sin.f64 (+.f64 eps x))) (*.f64 4 (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2))) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) -2) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps))))) |
(/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 2 (cos.f64 (+.f64 eps x)))) (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x)))) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) -2) (sin.f64 (+.f64 eps x))) (*.f64 2 (cos.f64 (+.f64 eps x))))) (/.f64 (*.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))) |
(/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 2 (cos.f64 (+.f64 eps x)))) (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x)))) (/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 x) -2)) (sin.f64 (+.f64 eps x))) (*.f64 2 (cos.f64 (+.f64 eps x))))) (/.f64 (*.f64 2 (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) 2)) (*.f64 2 (cos.f64 (+.f64 eps x)))) (/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 x) -2)) (sin.f64 (+.f64 eps x))) (/.f64 (*.f64 4 (cos.f64 (+.f64 eps x))) (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))) |
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 1) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 1 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 (*.f64 (sin.f64 (+.f64 x eps)) 2) (/.f64 1/2 (cos.f64 (+.f64 x eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2) 1/2) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 (*.f64 (sin.f64 (+.f64 x eps)) 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 x eps)) 4))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2)) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 x eps))) (*.f64 (sin.f64 (+.f64 x eps)) 2)) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 x eps)) 4)) (*.f64 (sin.f64 (+.f64 x eps)) 4)) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) 4) (cos.f64 (+.f64 x eps))) 1/4) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) 4) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) (cos.f64 (+.f64 x eps))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 (*.f64 2 (*.f64 (sin.f64 (+.f64 x eps)) 4)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 4)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 x eps))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 2) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 2 (cos.f64 (+.f64 x eps))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(pow.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) 1) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) |
| ✓ | 2.9b | (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 3.1b | (sin.f64 (+.f64 eps x)) | |
| 3.1b | (cos.f64 (+.f64 eps x)) |
Compiled 191 to 54 computations (71.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 250.0ms | x | @ | 0 | (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 35.0ms | eps | @ | 0 | (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) |
| 30.0ms | x | @ | -inf | (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) |
| 20.0ms | eps | @ | -inf | (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 5.0ms | eps | @ | 0 | (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1460× | rational_best-4 |
| 1460× | rational_best-2 |
| 1460× | rational_best-3 |
| 1460× | rational_best-1 |
| 1460× | exponential-1 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 210 |
| 1 | 199 | 210 |
| 2 | 645 | 74 |
| 3 | 3243 | 74 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1))))) |
| 1× | egg-herbie |
| 972× | rational_best-simplify-49 |
| 924× | rational_best-simplify-64 |
| 922× | rational_best-simplify-3 |
| 884× | rational_best-simplify-53 |
| 820× | rational_best-simplify-1 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 410 | 13463 |
| 1 | 1141 | 11741 |
| 2 | 3105 | 10965 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/4 (/.f64 (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x))) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x))) (cos.f64 x))) (+.f64 (*.f64 1/4 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (+.f64 (*.f64 1/4 (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x)))) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/4 (-.f64 2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) eps))) (/.f64 (sin.f64 x) (cos.f64 x))) |
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(/.f64 (sin.f64 eps) (cos.f64 eps)) |
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(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 4 (cos.f64 (+.f64 eps x)))) (neg.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 4 (cos.f64 (+.f64 eps x)))))) |
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 4 (cos.f64 (+.f64 eps x)))) (/.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 1/4)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 4 (cos.f64 (+.f64 eps x)))) (/.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 4 (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 2) (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 2 (cos.f64 (+.f64 eps x))))) |
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1/2 (cos.f64 (+.f64 eps x)))) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) |
(*.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (cos.f64 (+.f64 eps x))) 1/4) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (/.f64 1/4 (cos.f64 (+.f64 eps x)))) |
(*.f64 (*.f64 2 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1/2) |
(*.f64 1/2 (*.f64 2 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(*.f64 1/4 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (cos.f64 (+.f64 eps x)))) |
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x))) |
(*.f64 (/.f64 1/4 (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) 4)) |
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/4 (/.f64 (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x))) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/4 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 1/4 (cos.f64 x)) (+.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (/.f64 1/4 (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 3))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x))) (cos.f64 x))) (+.f64 (*.f64 1/4 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (+.f64 (*.f64 1/4 (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x)))) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/4 (-.f64 2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) eps))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/4 (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/4 (-.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))))) eps) (+.f64 (*.f64 1/4 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/4 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (*.f64 (/.f64 1/4 (cos.f64 x)) (+.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))) (*.f64 (*.f64 1/4 (+.f64 (-.f64 2 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) (-.f64 2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (*.f64 (/.f64 1/4 (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 3))) (*.f64 (+.f64 (-.f64 2 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 2)))) (-.f64 2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/4 eps))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x))) (cos.f64 x))) (+.f64 (*.f64 1/4 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/4 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x)))) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (*.f64 -1/2 (/.f64 (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x))) (cos.f64 x)))))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 x) (-.f64 2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (*.f64 (+.f64 (*.f64 1/4 (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x)))) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/4 (-.f64 2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/4 (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/4 (-.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))))) eps) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/4 (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -3/2) (+.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))) (/.f64 -1 (cos.f64 x))) (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 -1/2 (cos.f64 x)))))) (*.f64 (*.f64 (sin.f64 x) (-.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2))))) (/.f64 1/4 (cos.f64 x)))))) (+.f64 (*.f64 1/4 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/4 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (*.f64 (/.f64 1/4 (cos.f64 x)) (+.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))) (+.f64 (*.f64 (*.f64 1/4 (+.f64 (-.f64 2 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) (-.f64 2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) eps) (*.f64 (pow.f64 eps 2) (*.f64 1/4 (+.f64 (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -3/2) (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 2 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 -1/2 (cos.f64 x))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (*.f64 (/.f64 1/4 (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 3))) (+.f64 (*.f64 (+.f64 (-.f64 2 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 2)))) (-.f64 2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/4 eps)) (*.f64 (+.f64 (-.f64 (*.f64 (sin.f64 x) (/.f64 -3/2 (cos.f64 x))) (*.f64 (/.f64 -1/2 (cos.f64 x)) (+.f64 (*.f64 (-.f64 2 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 2)))) (+.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) 3)))) (/.f64 (*.f64 (sin.f64 x) (-.f64 2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (*.f64 1/4 (pow.f64 eps 2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1/2 (-.f64 2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/3 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))))))) (*.f64 -1/4 (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x)))) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (*.f64 -1/2 (/.f64 (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x))) (cos.f64 x)))))) (cos.f64 x))) (+.f64 (*.f64 -1/2 (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x)))) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x)))) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x))) (cos.f64 x))) (+.f64 (*.f64 1/4 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/4 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x)))) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (*.f64 -1/2 (/.f64 (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x))) (cos.f64 x)))))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 x) (-.f64 2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (*.f64 (+.f64 (*.f64 1/4 (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 2 (sin.f64 x)))) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/4 (-.f64 2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (+.f64 (*.f64 1/4 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/4 (-.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))))) eps) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/4 (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -3/2) (+.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))) (/.f64 -1 (cos.f64 x))) (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 -1/2 (cos.f64 x)))))) (*.f64 (*.f64 (sin.f64 x) (-.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2))))) (/.f64 1/4 (cos.f64 x))))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/4 (+.f64 (*.f64 (-.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))) -1/2) (+.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2))))) (/.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 1/3 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/6 (pow.f64 (cos.f64 x) 2))))))) (*.f64 -1/4 (+.f64 1/3 (+.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -3/2) (+.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))) (/.f64 -1 (cos.f64 x))) (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 -1/2 (cos.f64 x)))))) (/.f64 -1 (cos.f64 x))) (+.f64 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) -1/2) (*.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (/.f64 1/6 (pow.f64 (cos.f64 x) 2))))))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (*.f64 (/.f64 1/4 (cos.f64 x)) (+.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))) (+.f64 (+.f64 (*.f64 (*.f64 1/4 (+.f64 (-.f64 2 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) (-.f64 2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) eps) (*.f64 (pow.f64 eps 2) (*.f64 1/4 (+.f64 (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -3/2) (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 2 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 -1/2 (cos.f64 x))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (*.f64 -1/4 (+.f64 (+.f64 (*.f64 (-.f64 2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/6 (pow.f64 (cos.f64 x) 2))) (+.f64 1/3 (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2)))))) (+.f64 1/3 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -3/2) (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 2 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 -1/2 (cos.f64 x)))))) (cos.f64 x))) (+.f64 (*.f64 (-.f64 2 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) -1/2) (*.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (/.f64 1/6 (pow.f64 (cos.f64 x) 2))))))))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
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(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 2 (sin.f64 (+.f64 x eps)))) 4) (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) -1/4)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 4 (cos.f64 (+.f64 eps x)))) (/.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 4 (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 4)) (neg.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 2 (sin.f64 (+.f64 x eps)))) (*.f64 (cos.f64 (+.f64 x eps)) 4)))) |
(/.f64 (-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 2 (sin.f64 (+.f64 x eps)))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))) (*.f64 (cos.f64 (+.f64 x eps)) 4)) |
(/.f64 (-.f64 (*.f64 2 (sin.f64 (+.f64 x eps))) (*.f64 (sin.f64 (+.f64 x eps)) -2)) (*.f64 (cos.f64 (+.f64 x eps)) 4)) |
(-.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 2) (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 2 (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1/2 (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (cos.f64 (+.f64 eps x))) 1/4) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (/.f64 1/4 (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 2 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1/2) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 1/2 (*.f64 2 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 1/4 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 1/4 (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) 4)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
Compiled 70521 to 27312 computations (61.3% saved)
66 alts after pruning (62 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1827 | 37 | 1864 |
| Fresh | 28 | 25 | 53 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 4 | 7 |
| Total | 1859 | 66 | 1925 |
| Status | Error | Program |
|---|---|---|
| 59.6b | (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) | |
| 61.2b | (/.f64 (sin.f64 x) (cos.f64 x)) | |
| ✓ | 24.2b | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
| 58.2b | (-.f64 (/.f64 (/.f64 (+.f64 (+.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps)))) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 x) 2))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 58.5b | (-.f64 (/.f64 (/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 (+.f64 eps x) (*.f64 (PI.f64) 1/2))) (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps)))) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 x) 2))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 57.9b | (-.f64 (/.f64 (/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 eps x))) (cos.f64 (-.f64 (+.f64 eps x) (*.f64 (PI.f64) 1/2)))) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) 2))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 58.0b | (-.f64 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 eps x) (*.f64 1/2 (PI.f64)))) (+.f64 (cos.f64 (+.f64 x (-.f64 (*.f64 1/2 (PI.f64)) eps))) (*.f64 2 (sin.f64 (+.f64 x eps))))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.7b | (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 (neg.f64 eps))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)) (sin.f64 (neg.f64 eps)))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| ▶ | 35.4b | (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 35.8b | (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 55.4b | (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 55.0b | (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.6b | (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| ▶ | 22.8b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 50.3b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.6b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| ✓ | 35.2b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 35.2b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))) (/.f64 1 (/.f64 1 (cos.f64 x))))) | |
| 35.2b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x))) | |
| 35.4b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) | |
| 49.7b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.6b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 57.4b | (-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (-.f64 eps x) (*.f64 1/2 (PI.f64))))) 2)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.3b | (-.f64 (/.f64 (tan.f64 x) -4) (-.f64 (*.f64 (tan.f64 x) 3/4) (tan.f64 (+.f64 eps x)))) | |
| 35.4b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (/.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps)))) 2)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.2b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) 2) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.2b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 50.5b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 50.9b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.0b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 60.1b | (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.8b | (-.f64 (/.f64 (sin.f64 eps) (/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps))) 2)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.8b | (-.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 (+.f64 eps x)) 2)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) | |
| 36.7b | (-.f64 (/.f64 (sin.f64 eps) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) 2) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.9b | (-.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps))) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 54.0b | (-.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (+.f64 (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x eps)))) (cos.f64 (+.f64 0 (neg.f64 (-.f64 eps x))))) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.6b | (-.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 51.5b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 58.4b | (-.f64 (/.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 eps x))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 54.3b | (-.f64 (/.f64 eps (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.2b | (-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 44.3b | (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) -2) -2) | |
| ▶ | 36.3b | (-.f64 (*.f64 (tan.f64 x) 2) (+.f64 (*.f64 (tan.f64 x) 3) (neg.f64 (tan.f64 (+.f64 x eps))))) |
| ✓ | 36.1b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 36.4b | (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (*.f64 (tan.f64 x) -3) (/.f64 (tan.f64 x) 1/4))) | |
| 44.3b | (-.f64 -2 (-.f64 -2 (tan.f64 (+.f64 x eps)))) | |
| ✓ | 26.8b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
| 43.0b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) eps) | |
| 26.9b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps))) | |
| 28.8b | (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) | |
| 43.0b | (+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 1) | |
| 45.6b | (+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) (+.f64 1 (neg.f64 x))) | |
| 37.7b | (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 x))) (tan.f64 x)) | |
| ▶ | 37.4b | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (tan.f64 x) 2)))) |
| 31.1b | (+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (pow.f64 eps 2)))) | |
| 42.8b | (+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) | |
| 44.3b | (+.f64 -1/2 (+.f64 (-.f64 -1/2 (*.f64 (tan.f64 (+.f64 eps x)) 1/2)) (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 3/2) 1))) | |
| 24.3b | (*.f64 (/.f64 (/.f64 1 (cos.f64 eps)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 eps))) | |
| 24.3b | (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps)) | |
| 24.2b | (*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) | |
| 24.2b | (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) | |
| 59.6b | (*.f64 (sin.f64 x) (/.f64 -1 (cos.f64 x))) | |
| 30.7b | (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) | |
| ▶ | 37.2b | (tan.f64 (+.f64 x eps)) |
| 42.2b | eps | |
| 61.1b | 0 |
Compiled 2873 to 1820 computations (36.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 (sin.f64 x) (cos.f64 x)) | |
| ✓ | 0.2b | (*.f64 (sin.f64 x) (sin.f64 eps)) |
| ✓ | 0.2b | (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
| ✓ | 2.8b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
Compiled 111 to 15 computations (86.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | eps | @ | -inf | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 15.0ms | x | @ | inf | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 3.0ms | x | @ | -inf | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 3.0ms | eps | @ | inf | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
| 1× | batch-egg-rewrite |
| 1244× | rational_best-simplify-57 |
| 1098× | rational_best-4 |
| 1098× | rational_best-2 |
| 1098× | rational_best-3 |
| 1098× | rational_best-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 137 |
| 1 | 144 | 137 |
| 2 | 462 | 137 |
| 3 | 2300 | 137 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(*.f64 (sin.f64 x) (sin.f64 eps)) |
| Outputs |
|---|
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(*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 1 x) (-.f64 eps 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 -1 eps) (-.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) 4) (sin.f64 eps)) 2) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 1 x) (-.f64 eps 1)))) (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 1 x) (-.f64 eps 1))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 -1 eps) (-.f64 x -1)))) (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 -1 eps) (-.f64 x -1))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 (-.f64 x eps)) 2) (*.f64 (cos.f64 (+.f64 x eps)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))))) |
| 1× | egg-herbie |
| 988× | rational_best-simplify-1 |
| 944× | rational_best-simplify-3 |
| 932× | rational_best-simplify-51 |
| 930× | rational_best-simplify-63 |
| 824× | rational_best-simplify-57 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 499 | 12639 |
| 1 | 1333 | 12311 |
| 2 | 3863 | 12209 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))))) |
(+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))) (pow.f64 eps 3)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) |
(+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))) (pow.f64 eps 3)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (sin.f64 x)) (cos.f64 x)))))))))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
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(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) |
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(+.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(+.f64 (+.f64 (/.f64 0 (cos.f64 (+.f64 x eps))) (/.f64 0 (cos.f64 (+.f64 x eps)))) (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps)))) |
(+.f64 (/.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 x eps))) 2) (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) 2))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 (cos.f64 eps) 2))) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(+.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) 2))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 x eps))) 2)) |
(+.f64 (/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 (cos.f64 eps) 2))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) 2))) |
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps))) 0) |
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps))) (/.f64 0 (cos.f64 (+.f64 x eps)))) |
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps))) (+.f64 (/.f64 0 (cos.f64 (+.f64 x eps))) (/.f64 0 (cos.f64 (+.f64 x eps))))) |
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps))) (neg.f64 (/.f64 0 (cos.f64 (+.f64 x eps))))) |
(-.f64 0 (-.f64 (/.f64 0 (cos.f64 (+.f64 x eps))) (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps))))) |
(-.f64 0 (-.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (cos.f64 (+.f64 x eps))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 x eps))) (neg.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 (neg.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps)))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cos.f64 (+.f64 x eps))) (-.f64 (/.f64 0 (cos.f64 (+.f64 x eps))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (cos.f64 (+.f64 x eps)))) |
(-.f64 (/.f64 0 (cos.f64 (+.f64 x eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (cos.f64 (+.f64 x eps))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))))) |
(-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) 2)) (/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cos.f64 (+.f64 x eps)))) |
(*.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (/.f64 1 (cos.f64 (+.f64 x eps)))) |
(*.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps))) 1) |
(*.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) |
(*.f64 1 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (/.f64 1/2 (cos.f64 (+.f64 x eps)))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (neg.f64 (cos.f64 (+.f64 x eps))))) |
(*.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) (/.f64 1 (neg.f64 (cos.f64 (+.f64 x eps))))) |
(*.f64 (-.f64 (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) (/.f64 -1 (cos.f64 (+.f64 x eps)))) |
(*.f64 (*.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps))) 2) 1/2) |
(*.f64 (*.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps))) 2) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 2) (cos.f64 (+.f64 x eps))))) |
(*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 x eps)) 4))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps))) 2)) |
(*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) |
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 x eps))) (*.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) 2)) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 x eps)) 4)) (*.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4)) |
(*.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps))) 2)) 1/4) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 x eps)) 4)))) |
(*.f64 (*.f64 -2 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (/.f64 1/2 (neg.f64 (cos.f64 (+.f64 x eps))))) |
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 x eps))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps))) 2) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 2 (cos.f64 (+.f64 x eps))))) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (cos.f64 (+.f64 x eps))) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) 4) (cos.f64 (+.f64 x eps))))) |
(pow.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps))) 1) |
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 0) |
(+.f64 0 (*.f64 (sin.f64 x) (sin.f64 eps))) |
(+.f64 (/.f64 (cos.f64 (-.f64 x eps)) 2) (/.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 2)) |
(+.f64 (/.f64 (cos.f64 (-.f64 x eps)) 2) (neg.f64 (/.f64 (cos.f64 (+.f64 x eps)) 2))) |
(+.f64 (/.f64 (cos.f64 (-.f64 eps x)) 2) (neg.f64 (/.f64 (cos.f64 (+.f64 x eps)) 2))) |
(+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 2) (/.f64 (cos.f64 (-.f64 x eps)) 2)) |
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) |
(+.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) 2)) 4) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) 2)) 4)) |
(+.f64 (/.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) 2) (/.f64 (cos.f64 (+.f64 (-.f64 1 x) (-.f64 eps 1))) 2)) |
(+.f64 (/.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) 2) (/.f64 (cos.f64 (+.f64 (-.f64 -1 eps) (-.f64 x -1))) 2)) |
(+.f64 (/.f64 (cos.f64 (+.f64 (-.f64 1 x) (-.f64 eps 1))) 2) (/.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) 2)) |
(+.f64 (/.f64 (cos.f64 (+.f64 (-.f64 -1 eps) (-.f64 x -1))) 2) (/.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) 2)) |
(+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 x eps)) 2) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2))) |
(+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 eps x)) 2) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2))) |
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 0) |
(-.f64 0 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(-.f64 (/.f64 (cos.f64 (-.f64 x eps)) 2) (/.f64 (cos.f64 (+.f64 x eps)) 2)) |
(-.f64 (/.f64 (cos.f64 (-.f64 eps x)) 2) (/.f64 (cos.f64 (+.f64 x eps)) 2)) |
(-.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 2) (neg.f64 (/.f64 (cos.f64 (-.f64 x eps)) 2))) |
(-.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 2) (-.f64 0 (/.f64 (cos.f64 (-.f64 eps x)) 2))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (/.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 (-.f64 x eps))) 2)) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (-.f64 (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2) (/.f64 (cos.f64 (-.f64 x eps)) 2))) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (-.f64 (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2) (/.f64 (cos.f64 (-.f64 eps x)) 2))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) 2)) 2) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) -1) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) 4) (sin.f64 eps)) 4) |
(/.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps))) 2) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 1 x) (-.f64 eps 1)))) 2) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 -1 eps) (-.f64 x -1)))) 2) |
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) 4) (sin.f64 eps)) 2) 8) |
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps)))) 4) |
(/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 1 x) (-.f64 eps 1)))) (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 1 x) (-.f64 eps 1))))) 4) |
(/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 -1 eps) (-.f64 x -1)))) (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 -1 eps) (-.f64 x -1))))) 4) |
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 x eps)) 2) (*.f64 (cos.f64 (+.f64 x eps)) 2)) 4) |
(pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1) |
(neg.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 (sin.f64 eps) (/.f64 -1 (cos.f64 eps)))) (pow.f64 x 2))))) |
(+.f64 (*.f64 (pow.f64 x 2) (neg.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (pow.f64 x 2))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
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(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x (-.f64 eps (*.f64 1/2 (PI.f64)))))) (cos.f64 (+.f64 (-.f64 1 x) (+.f64 eps -1)))) 2) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x (-.f64 eps (*.f64 1/2 (PI.f64)))))) (cos.f64 (+.f64 -1 (+.f64 eps (-.f64 1 x))))) 2) |
(+.f64 (/.f64 (cos.f64 (+.f64 (-.f64 -1 eps) (-.f64 x -1))) 2) (/.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) 2)) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x (-.f64 eps (*.f64 1/2 (PI.f64)))))) (cos.f64 (+.f64 (-.f64 -1 eps) (+.f64 x 1)))) 2) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x (-.f64 eps (*.f64 1/2 (PI.f64)))))) (cos.f64 (-.f64 (+.f64 x x) (+.f64 eps x)))) 2) |
(+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 x eps)) 2) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2))) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(+.f64 (-.f64 (/.f64 (cos.f64 (-.f64 eps x)) 2) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2)) (neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2))) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 0) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(-.f64 0 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(-.f64 (/.f64 (cos.f64 (-.f64 x eps)) 2) (/.f64 (cos.f64 (+.f64 x eps)) 2)) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(-.f64 (/.f64 (cos.f64 (-.f64 eps x)) 2) (/.f64 (cos.f64 (+.f64 x eps)) 2)) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(-.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 2) (neg.f64 (/.f64 (cos.f64 (-.f64 x eps)) 2))) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(-.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x eps))) 2) (-.f64 0 (/.f64 (cos.f64 (-.f64 eps x)) 2))) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (/.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 (-.f64 x eps))) 2)) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (-.f64 (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2) (/.f64 (cos.f64 (-.f64 x eps)) 2))) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (-.f64 (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2) (/.f64 (cos.f64 (-.f64 eps x)) 2))) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) 2)) 2) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) -1) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) 4) (sin.f64 eps)) 4) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps))) 2) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 1 x) (-.f64 eps 1)))) 2) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x (-.f64 eps (*.f64 1/2 (PI.f64)))))) (cos.f64 (+.f64 (-.f64 1 x) (+.f64 eps -1)))) 2) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x (-.f64 eps (*.f64 1/2 (PI.f64)))))) (cos.f64 (+.f64 -1 (+.f64 eps (-.f64 1 x))))) 2) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 -1 eps) (-.f64 x -1)))) 2) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x (-.f64 eps (*.f64 1/2 (PI.f64)))))) (cos.f64 (+.f64 (-.f64 -1 eps) (+.f64 x 1)))) 2) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x (-.f64 eps (*.f64 1/2 (PI.f64)))))) (cos.f64 (-.f64 (+.f64 x x) (+.f64 eps x)))) 2) |
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) 4) (sin.f64 eps)) 2) 8) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 eps) (*.f64 4 (sin.f64 x)))) 8) |
(/.f64 (*.f64 (*.f64 (sin.f64 eps) (*.f64 4 (sin.f64 x))) 4) 16) |
(/.f64 (*.f64 (sin.f64 eps) (*.f64 2 (*.f64 4 (sin.f64 x)))) 8) |
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps))) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps)))) 4) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 1 x) (-.f64 eps 1)))) (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 1 x) (-.f64 eps 1))))) 4) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x (-.f64 eps (*.f64 1/2 (PI.f64)))))) (cos.f64 (+.f64 (-.f64 1 x) (+.f64 eps -1)))) 2) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x (-.f64 eps (*.f64 1/2 (PI.f64)))))) (cos.f64 (+.f64 -1 (+.f64 eps (-.f64 1 x))))) 2) |
(/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 -1 eps) (-.f64 x -1)))) (+.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 x (-.f64 eps (*.f64 (PI.f64) 1/2))))) (cos.f64 (+.f64 (-.f64 -1 eps) (-.f64 x -1))))) 4) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x (-.f64 eps (*.f64 1/2 (PI.f64)))))) (cos.f64 (+.f64 (-.f64 -1 eps) (+.f64 x 1)))) 2) |
(/.f64 (+.f64 (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x (-.f64 eps (*.f64 1/2 (PI.f64)))))) (cos.f64 (-.f64 (+.f64 x x) (+.f64 eps x)))) 2) |
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 x eps)) 2) (*.f64 (cos.f64 (+.f64 x eps)) 2)) 4) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
(neg.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(*.f64 (sin.f64 eps) (sin.f64 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.1b | (tan.f64 (+.f64 x eps)) |
Compiled 11 to 4 computations (63.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (tan.f64 x) 3) |
| ✓ | 0.4b | (+.f64 (*.f64 (tan.f64 x) 3) (neg.f64 (tan.f64 (+.f64 x eps)))) |
| 3.1b | (tan.f64 (+.f64 x eps)) | |
| ✓ | 12.7b | (-.f64 (*.f64 (tan.f64 x) 2) (+.f64 (*.f64 (tan.f64 x) 3) (neg.f64 (tan.f64 (+.f64 x eps))))) |
Compiled 53 to 21 computations (60.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | eps | @ | 0 | (-.f64 (*.f64 (tan.f64 x) 2) (+.f64 (*.f64 (tan.f64 x) 3) (neg.f64 (tan.f64 (+.f64 x eps))))) |
| 13.0ms | x | @ | -inf | (-.f64 (*.f64 (tan.f64 x) 2) (+.f64 (*.f64 (tan.f64 x) 3) (neg.f64 (tan.f64 (+.f64 x eps))))) |
| 4.0ms | eps | @ | 0 | (+.f64 (*.f64 (tan.f64 x) 3) (neg.f64 (tan.f64 (+.f64 x eps)))) |
| 1.0ms | x | @ | inf | (-.f64 (*.f64 (tan.f64 x) 2) (+.f64 (*.f64 (tan.f64 x) 3) (neg.f64 (tan.f64 (+.f64 x eps))))) |
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 (tan.f64 x) 3) (neg.f64 (tan.f64 (+.f64 x eps)))) |
| 1× | batch-egg-rewrite |
| 1334× | rational_best-simplify-85 |
| 1324× | rational_best-4 |
| 1324× | rational_best-2 |
| 1324× | rational_best-3 |
| 1324× | rational_best-1 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 89 |
| 1 | 103 | 73 |
| 2 | 215 | 59 |
| 3 | 645 | 59 |
| 4 | 3236 | 59 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (tan.f64 x) 2) (+.f64 (*.f64 (tan.f64 x) 3) (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (*.f64 (tan.f64 x) 3) (neg.f64 (tan.f64 (+.f64 x eps)))) |
(*.f64 (tan.f64 x) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (-.f64 (tan.f64 x) (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) 2) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) 3) (-.f64 (*.f64 (tan.f64 x) 2) (-.f64 (*.f64 (tan.f64 x) 6) (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (-.f64 (*.f64 2 (tan.f64 (+.f64 x eps))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) -3) (+.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3)) (*.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) 4) (-.f64 (tan.f64 x) (-.f64 (*.f64 (tan.f64 x) 6) (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 2 (tan.f64 (+.f64 x eps))) (tan.f64 x)) (neg.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) -2) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x 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#<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (tan.f64 x) 2)) (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (tan.f64 x) -3) 2) (/.f64 (neg.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (tan.f64 x)) 2) (/.f64 (-.f64 (*.f64 2 (tan.f64 (+.f64 x eps))) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 2 (tan.f64 (+.f64 x eps))) (tan.f64 x)) 2) (/.f64 (neg.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) (tan.f64 x))) 2) (/.f64 (*.f64 (tan.f64 x) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3)) 2) (/.f64 (+.f64 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| 1× | egg-herbie |
| 1070× | rational_best-simplify-3 |
| 880× | rational_best-simplify-75 |
| 828× | rational_best-simplify-76 |
| 762× | rational_best-simplify-65 |
| 756× | rational_best-simplify-67 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 439 | 11265 |
| 1 | 1074 | 10673 |
| 2 | 2958 | 8895 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))))))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) x) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 7/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))) (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))) (+.f64 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)) (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (pow.f64 eps 3))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(-.f64 (*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (pow.f64 x 3)) |
(+.f64 (*.f64 3 x) (+.f64 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 17/105 (pow.f64 x 7)) (+.f64 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) |
(*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 3 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2))) |
(+.f64 (tan.f64 x) (-.f64 (tan.f64 x) (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))))) |
(+.f64 (*.f64 (tan.f64 x) 2) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3))) |
(+.f64 (*.f64 (tan.f64 x) 3) (-.f64 (*.f64 (tan.f64 x) 2) (-.f64 (*.f64 (tan.f64 x) 6) (tan.f64 (+.f64 x eps))))) |
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) |
(+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (-.f64 (*.f64 2 (tan.f64 (+.f64 x eps))) (tan.f64 x))) |
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 0) |
(+.f64 0 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
(+.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps))) |
(+.f64 (+.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) -3)) |
(+.f64 (*.f64 (tan.f64 x) -3) (+.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps)))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3)) (*.f64 (tan.f64 x) 2)) |
(+.f64 (*.f64 (tan.f64 x) 4) (-.f64 (tan.f64 x) (-.f64 (*.f64 (tan.f64 x) 6) (tan.f64 (+.f64 x eps))))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) (tan.f64 x)) |
(+.f64 (-.f64 (*.f64 2 (tan.f64 (+.f64 x eps))) (tan.f64 x)) (neg.f64 (tan.f64 (+.f64 x eps)))) |
(+.f64 (*.f64 (tan.f64 x) -2) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
(+.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (neg.f64 (tan.f64 x)) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (neg.f64 (tan.f64 x)) (/.f64 (tan.f64 (+.f64 x eps)) -2))) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) 2)) |
(+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x))) |
(+.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) -2)) |
(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(+.f64 (-.f64 (tan.f64 x) (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) (tan.f64 x)) |
(+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) 2)) (-.f64 (*.f64 (tan.f64 x) 2) (/.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) 2))) |
(+.f64 (-.f64 (*.f64 (tan.f64 x) 2) (-.f64 (*.f64 (tan.f64 x) 6) (tan.f64 (+.f64 x eps)))) (*.f64 (tan.f64 x) 3)) |
(+.f64 (-.f64 (*.f64 (tan.f64 x) 2) (/.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) 2)) (neg.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) 2))) |
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2)) (neg.f64 (/.f64 (tan.f64 x) 2))) |
(+.f64 (-.f64 (neg.f64 (tan.f64 x)) (/.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(+.f64 (neg.f64 (/.f64 (tan.f64 x) 2)) (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) 2))) |
(+.f64 (/.f64 (*.f64 (tan.f64 x) -3) 2) (/.f64 (neg.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) (tan.f64 x))) 2)) |
(+.f64 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -2)) 2) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(+.f64 (/.f64 (neg.f64 (tan.f64 x)) 2) (/.f64 (-.f64 (*.f64 2 (tan.f64 (+.f64 x eps))) (tan.f64 x)) 2)) |
(+.f64 (/.f64 (-.f64 (*.f64 2 (tan.f64 (+.f64 x eps))) (tan.f64 x)) 2) (/.f64 (neg.f64 (tan.f64 x)) 2)) |
(+.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) (tan.f64 x))) 2) (/.f64 (*.f64 (tan.f64 x) -3) 2)) |
(+.f64 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3)) 2) (/.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2)) |
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2) (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3)) 2)) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) -2)) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) 3))) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(+.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) 3)) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) -2))) |
(+.f64 (-.f64 (tan.f64 x) (-.f64 (*.f64 (tan.f64 x) 6) (tan.f64 (+.f64 x eps)))) (*.f64 (tan.f64 x) 4)) |
(+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) (-.f64 1 (tan.f64 x))) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (-.f64 -1 (tan.f64 x)) (-.f64 1 (neg.f64 (tan.f64 (+.f64 x eps))))) |
(+.f64 (-.f64 1 (neg.f64 (tan.f64 (+.f64 x eps)))) (-.f64 -1 (tan.f64 x))) |
(*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2)) |
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(*.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
(*.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
(*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1) |
(*.f64 (*.f64 2 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/2) |
(*.f64 -2 (*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 1/2)) |
(*.f64 1/2 (*.f64 2 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(*.f64 1/2 (*.f64 (*.f64 2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) -1)) |
(*.f64 1/2 (-.f64 (-.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) -2)) (*.f64 (tan.f64 x) 6))) |
(*.f64 1/2 (-.f64 (*.f64 2 (+.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) (*.f64 (tan.f64 x) 8))) |
(*.f64 -1/2 (*.f64 2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) |
(*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 1/4) |
(*.f64 (*.f64 2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) -1/2) |
(*.f64 1/4 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) |
(*.f64 (+.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) 1/8) |
(*.f64 (+.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) -4)) -1/4) |
(*.f64 (-.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) 4)) -1/4) |
(*.f64 (+.f64 (*.f64 2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (*.f64 2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) -1/4) |
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(/.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1) |
(/.f64 (*.f64 2 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 4) |
(/.f64 (+.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) 8) |
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(neg.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
(-.f64 (*.f64 (tan.f64 x) 2) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) |
(-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) |
(-.f64 (*.f64 (tan.f64 x) 3) (-.f64 (*.f64 2 (tan.f64 (+.f64 x eps))) (tan.f64 (+.f64 x eps)))) |
(-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) -3)) |
(-.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) 0) |
(-.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) (+.f64 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3)) 2) (/.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) 2))) |
(-.f64 0 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3))) |
(-.f64 (*.f64 (tan.f64 x) -3) (neg.f64 (-.f64 (*.f64 (tan.f64 x) 6) (tan.f64 (+.f64 x eps))))) |
(-.f64 (*.f64 (tan.f64 x) 6) (+.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) |
(-.f64 (*.f64 2 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) |
(-.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) -3))) |
(-.f64 (*.f64 (tan.f64 x) 4) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
(-.f64 (-.f64 (*.f64 (tan.f64 x) 6) (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) 3)) |
(-.f64 (*.f64 (tan.f64 x) 12) (+.f64 (+.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) 6))) |
(-.f64 (*.f64 (tan.f64 x) 8) (+.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) 4))) |
(-.f64 (/.f64 (*.f64 (tan.f64 x) 3) 2) (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (*.f64 (tan.f64 x) 3) 2))) |
(-.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) 2) (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3)) 2)) |
(-.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) 2) (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 (*.f64 (tan.f64 x) 3) 2))) |
(-.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2) (-.f64 (*.f64 (tan.f64 x) -3) (/.f64 (tan.f64 (+.f64 x eps)) -2))) |
(-.f64 (*.f64 2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (tan.f64 x))) |
(-.f64 (+.f64 (*.f64 (tan.f64 x) 3) (/.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(-.f64 (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (/.f64 (*.f64 (tan.f64 x) 3) 2)) (neg.f64 (/.f64 (*.f64 (tan.f64 x) 3) 2))) |
(-.f64 (+.f64 (*.f64 (tan.f64 x) 3) (/.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) 2)) (-.f64 (*.f64 (tan.f64 x) 3) (/.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) 2))) |
(-.f64 (-.f64 (*.f64 (tan.f64 x) 3) (+.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) (*.f64 (tan.f64 x) -3)) |
(-.f64 (-.f64 (/.f64 (*.f64 (tan.f64 x) 3) 2) (tan.f64 (+.f64 x eps))) (neg.f64 (/.f64 (*.f64 (tan.f64 x) 3) 2))) |
(-.f64 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) -2) (*.f64 (tan.f64 x) -3)) (/.f64 (tan.f64 (+.f64 x eps)) 2)) |
(-.f64 (+.f64 (*.f64 (tan.f64 x) -3) (*.f64 (tan.f64 x) -3)) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 6)) (*.f64 (tan.f64 x) -3))) |
(-.f64 (+.f64 (-.f64 (*.f64 (tan.f64 x) 6) (tan.f64 (+.f64 x eps))) (-.f64 (*.f64 (tan.f64 x) 6) (tan.f64 (+.f64 x eps)))) (+.f64 (*.f64 (tan.f64 x) 3) (-.f64 (*.f64 (tan.f64 x) 6) (tan.f64 (+.f64 x eps))))) |
(-.f64 (+.f64 (-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (tan.f64 x)) (-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) -4) (-.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (tan.f64 x)))) |
(-.f64 (+.f64 (*.f64 (tan.f64 x) 7) (*.f64 (tan.f64 x) 7)) (+.f64 (-.f64 (*.f64 (tan.f64 x) 4) (neg.f64 (tan.f64 (+.f64 x eps)))) (*.f64 (tan.f64 x) 7))) |
(-.f64 (+.f64 (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) 5)) (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) 5))) (+.f64 (*.f64 (tan.f64 x) 2) (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) 5)))) |
(-.f64 (+.f64 (+.f64 (tan.f64 x) (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) (+.f64 (tan.f64 x) (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))))) (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) 5))) |
(*.f64 2 (*.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) 1/2)) |
(*.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) 1) |
(*.f64 1 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) |
(*.f64 -1 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3))) |
(*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3)) -1) |
(*.f64 (*.f64 2 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) 1/2) |
(*.f64 1/2 (*.f64 2 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))))) |
(*.f64 (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) (*.f64 (tan.f64 x) 12)) 1/4) |
(*.f64 1/4 (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) (*.f64 (tan.f64 x) 12))) |
(*.f64 (+.f64 (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) (*.f64 (tan.f64 x) 12)) (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) (*.f64 (tan.f64 x) 12))) 1/8) |
(/.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) 1) |
(/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3)) -1) |
(/.f64 (*.f64 2 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) 2) |
(/.f64 (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) (*.f64 (tan.f64 x) 12)) 4) |
(/.f64 (+.f64 (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) (*.f64 (tan.f64 x) 12)) (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) -4) (*.f64 (tan.f64 x) 12))) 8) |
(pow.f64 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))) 1) |
(neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3))) |
(+.f64 (tan.f64 x) (*.f64 (tan.f64 x) 2)) |
(+.f64 (*.f64 (tan.f64 x) 2) (tan.f64 x)) |
(+.f64 (*.f64 (tan.f64 x) 3) 0) |
(+.f64 0 (*.f64 (tan.f64 x) 3)) |
(+.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (+.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps)))) |
(+.f64 (+.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
(+.f64 (*.f64 (tan.f64 x) -2) (*.f64 (tan.f64 x) 5)) |
(+.f64 (/.f64 (*.f64 (tan.f64 x) 3) 2) (/.f64 (*.f64 (tan.f64 x) 3) 2)) |
(+.f64 (*.f64 (tan.f64 x) 5) (*.f64 (tan.f64 x) -2)) |
(-.f64 (tan.f64 x) (*.f64 (tan.f64 x) -2)) |
(-.f64 (*.f64 (tan.f64 x) 2) (neg.f64 (tan.f64 x))) |
(-.f64 (*.f64 (tan.f64 x) 3) 0) |
(-.f64 0 (*.f64 (tan.f64 x) -3)) |
(-.f64 (*.f64 (tan.f64 x) 6) (*.f64 (tan.f64 x) 3)) |
(-.f64 (*.f64 2 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) (+.f64 (*.f64 (tan.f64 x) 3) (*.f64 (tan.f64 (+.f64 x eps)) -2))) |
(-.f64 (*.f64 2 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) (+.f64 (+.f64 (*.f64 (tan.f64 x) -2) (-.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps)))) (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))))) |
(-.f64 (*.f64 2 (tan.f64 (+.f64 x eps))) (+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3)))) |
(-.f64 (*.f64 (tan.f64 x) 4) (tan.f64 x)) |
(-.f64 (*.f64 (tan.f64 x) 12) (+.f64 (*.f64 (tan.f64 x) 3) (*.f64 (tan.f64 x) 6))) |
(-.f64 (*.f64 (tan.f64 x) 8) (*.f64 (tan.f64 x) 5)) |
(-.f64 (/.f64 (*.f64 (tan.f64 x) 3) 2) (/.f64 (*.f64 (tan.f64 x) -3) 2)) |
(-.f64 (-.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) -2)) (neg.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) (tan.f64 x)))) |
(-.f64 (*.f64 2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) (tan.f64 x))) |
(-.f64 (+.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) |
(-.f64 (+.f64 (*.f64 (tan.f64 x) 5) (*.f64 (tan.f64 x) 5)) (+.f64 (*.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) 5))) |
(-.f64 (+.f64 (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) 5)) (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) 5))) (+.f64 (-.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) 5)))) |
(/.f64 (*.f64 (tan.f64 x) 3) 1) |
(/.f64 (*.f64 (tan.f64 x) -3) -1) |
(/.f64 (*.f64 (tan.f64 x) 6) 2) |
(/.f64 (*.f64 (tan.f64 x) 12) 4) |
(/.f64 (+.f64 (*.f64 (tan.f64 x) 12) (*.f64 (tan.f64 x) 12)) 8) |
(pow.f64 (*.f64 (tan.f64 x) 3) 1) |
(neg.f64 (*.f64 (tan.f64 x) -3)) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps))) |
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (+.f64 (sin.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2)))) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 (pow.f64 x 3) (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (pow.f64 (cos.f64 eps) 2))))) (/.f64 -1 (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 1/2 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2)))))) -1)) (/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 1/2 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2)))))) (neg.f64 (pow.f64 x 3))))) |
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(+.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) |
(*.f64 3 (tan.f64 x)) |
(-.f64 0 (*.f64 (tan.f64 x) -3)) |
(+.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) |
(*.f64 3 (tan.f64 x)) |
(-.f64 (*.f64 (tan.f64 x) 6) (*.f64 (tan.f64 x) 3)) |
(+.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) |
(*.f64 3 (tan.f64 x)) |
(-.f64 (*.f64 2 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) (+.f64 (*.f64 (tan.f64 x) 3) (*.f64 (tan.f64 (+.f64 x eps)) -2))) |
(-.f64 (*.f64 2 (-.f64 (*.f64 3 (tan.f64 x)) (tan.f64 (+.f64 eps x)))) (+.f64 (*.f64 3 (tan.f64 x)) (*.f64 (tan.f64 (+.f64 eps x)) -2))) |
(-.f64 (-.f64 (-.f64 (*.f64 3 (tan.f64 x)) (tan.f64 (+.f64 eps x))) (*.f64 (tan.f64 (+.f64 eps x)) -2)) (tan.f64 (+.f64 eps x))) |
(-.f64 (*.f64 2 (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) (+.f64 (+.f64 (*.f64 (tan.f64 x) -2) (-.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps)))) (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps))))) |
(-.f64 (*.f64 2 (-.f64 (*.f64 3 (tan.f64 x)) (tan.f64 (+.f64 eps x)))) (+.f64 (-.f64 (*.f64 3 (tan.f64 x)) (tan.f64 (+.f64 eps x))) (+.f64 (*.f64 (tan.f64 x) -2) (-.f64 (*.f64 2 (tan.f64 x)) (tan.f64 (+.f64 eps x)))))) |
(+.f64 (-.f64 (*.f64 3 (tan.f64 x)) (tan.f64 (+.f64 eps x))) (neg.f64 (+.f64 (*.f64 (tan.f64 x) -2) (-.f64 (*.f64 2 (tan.f64 x)) (tan.f64 (+.f64 eps x)))))) |
(-.f64 (*.f64 3 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (*.f64 (tan.f64 x) -2) (-.f64 (*.f64 2 (tan.f64 x)) (tan.f64 (+.f64 eps x)))))) |
(-.f64 (*.f64 2 (tan.f64 (+.f64 x eps))) (+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) -3)))) |
(-.f64 (*.f64 2 (tan.f64 (+.f64 eps x))) (+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (tan.f64 x) -3)))) |
(+.f64 (-.f64 (*.f64 3 (tan.f64 x)) (tan.f64 (+.f64 eps x))) (-.f64 (*.f64 2 (tan.f64 (+.f64 eps x))) (tan.f64 (+.f64 eps x)))) |
(+.f64 (*.f64 (tan.f64 (+.f64 eps x)) -2) (-.f64 (*.f64 2 (tan.f64 (+.f64 eps x))) (*.f64 (tan.f64 x) -3))) |
(-.f64 (*.f64 (tan.f64 x) 4) (tan.f64 x)) |
(-.f64 (*.f64 (tan.f64 x) 12) (+.f64 (*.f64 (tan.f64 x) 3) (*.f64 (tan.f64 x) 6))) |
(+.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) |
(*.f64 3 (tan.f64 x)) |
(-.f64 (*.f64 (tan.f64 x) 8) (*.f64 (tan.f64 x) 5)) |
(+.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) |
(*.f64 3 (tan.f64 x)) |
(-.f64 (/.f64 (*.f64 (tan.f64 x) 3) 2) (/.f64 (*.f64 (tan.f64 x) -3) 2)) |
(+.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) |
(*.f64 3 (tan.f64 x)) |
(-.f64 (-.f64 (*.f64 (tan.f64 x) 4) (*.f64 (tan.f64 (+.f64 x eps)) -2)) (neg.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) (tan.f64 x)))) |
(-.f64 (*.f64 (tan.f64 x) 4) (+.f64 (neg.f64 (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) -2) (tan.f64 x))) (*.f64 (tan.f64 (+.f64 eps x)) -2))) |
(-.f64 (*.f64 (tan.f64 x) 4) (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) -2) (neg.f64 (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) -2) (tan.f64 x))))) |
(-.f64 (*.f64 (tan.f64 x) 4) (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) -2) (-.f64 (tan.f64 x) (*.f64 (tan.f64 (+.f64 eps x)) -2)))) |
(-.f64 (*.f64 2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) -2) (tan.f64 x))) |
(-.f64 (*.f64 2 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) -2) (tan.f64 x))) |
(-.f64 (+.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (+.f64 (-.f64 (tan.f64 x) (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) |
(+.f64 (-.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (*.f64 3 (tan.f64 x)) (tan.f64 x)))) (-.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))) |
(-.f64 0 (+.f64 (-.f64 -1 (-.f64 (*.f64 3 (tan.f64 x)) (tan.f64 x))) (-.f64 1 (tan.f64 x)))) |
(neg.f64 (+.f64 (-.f64 1 (tan.f64 x)) (-.f64 -1 (-.f64 (*.f64 3 (tan.f64 x)) (tan.f64 x))))) |
(-.f64 (+.f64 (*.f64 (tan.f64 x) 5) (*.f64 (tan.f64 x) 5)) (+.f64 (*.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) 5))) |
(+.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) |
(*.f64 3 (tan.f64 x)) |
(-.f64 (+.f64 (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) 5)) (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) 5))) (+.f64 (-.f64 (*.f64 (tan.f64 x) 2) (tan.f64 (+.f64 x eps))) (+.f64 (neg.f64 (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 x) 5)))) |
(-.f64 (+.f64 (*.f64 5 (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 (+.f64 eps x))) (+.f64 (neg.f64 (tan.f64 (+.f64 eps x))) (*.f64 5 (tan.f64 x))))) (+.f64 (*.f64 5 (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 (+.f64 eps x))) (-.f64 (*.f64 2 (tan.f64 x)) (tan.f64 (+.f64 eps x)))))) |
(+.f64 0 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (*.f64 (tan.f64 x) -3) (neg.f64 (neg.f64 (tan.f64 (+.f64 eps x))))))) |
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (tan.f64 x) -3))) |
(/.f64 (*.f64 (tan.f64 x) 3) 1) |
(+.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) |
(*.f64 3 (tan.f64 x)) |
(/.f64 (*.f64 (tan.f64 x) -3) -1) |
(+.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) |
(*.f64 3 (tan.f64 x)) |
(/.f64 (*.f64 (tan.f64 x) 6) 2) |
(+.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) |
(*.f64 3 (tan.f64 x)) |
(/.f64 (*.f64 (tan.f64 x) 12) 4) |
(+.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) |
(*.f64 3 (tan.f64 x)) |
(/.f64 (+.f64 (*.f64 (tan.f64 x) 12) (*.f64 (tan.f64 x) 12)) 8) |
(+.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) |
(*.f64 3 (tan.f64 x)) |
(pow.f64 (*.f64 (tan.f64 x) 3) 1) |
(+.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) |
(*.f64 3 (tan.f64 x)) |
(neg.f64 (*.f64 (tan.f64 x) -3)) |
(+.f64 (tan.f64 x) (*.f64 2 (tan.f64 x))) |
(*.f64 3 (tan.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (tan.f64 x) 2)))) |
| 0.1b | (/.f64 (sin.f64 eps) (cos.f64 eps)) | |
| 3.1b | (tan.f64 (+.f64 x eps)) | |
| ✓ | 10.6b | (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (tan.f64 x) 2))) |
Compiled 91 to 32 computations (64.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 169.0ms | eps | @ | inf | (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (tan.f64 x) 2))) |
| 3.0ms | x | @ | 0 | (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (tan.f64 x) 2))) |
| 2.0ms | x | @ | 0 | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (tan.f64 x) 2)))) |
| 1.0ms | eps | @ | 0 | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (tan.f64 x) 2)))) |
| 1.0ms | x | @ | inf | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (tan.f64 x) 2)))) |
| 1× | batch-egg-rewrite |
| 782× | rational_best-simplify-47 |
| 736× | rational_best-simplify-1 |
| 616× | rational_best-simplify-83 |
| 530× | rational_best-simplify-52 |
| 506× | rational_best-4 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 126 |
| 1 | 138 | 126 |
| 2 | 352 | 104 |
| 3 | 1303 | 94 |
| 4 | 7656 | 94 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (tan.f64 x) 2))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (tan.f64 x) 2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (-.f64 (*.f64 (tan.f64 x) -1/2) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) -1/2) (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (tan.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 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(cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x))) (*.f64 2 (+.f64 (neg.f64 (tan.f64 x)) (*.f64 2 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (+.f64 (neg.f64 (tan.f64 x)) (*.f64 2 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (*.f64 2 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 2 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (tan.f64 x)) (*.f64 2 (+.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (tan.f64 (+.f64 x eps)) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))) (*.f64 (tan.f64 (+.f64 x eps)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (+.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (tan.f64 (+.f64 x eps)) 2))) (neg.f64 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 2 (*.f64 2 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (-.f64 (+.f64 (tan.f64 x) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) (*.f64 (tan.f64 (+.f64 x eps)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))))) |
| 1× | egg-herbie |
| 1372× | rational_best-simplify-51 |
| 1210× | rational_best-simplify-52 |
| 1062× | rational_best-simplify-48 |
| 626× | rational_best-simplify-3 |
| 586× | rational_best-simplify-57 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 549 | 19391 |
| 1 | 1517 | 18953 |
| 2 | 3768 | 16865 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1/2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (*.f64 (-.f64 1/2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1/2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/3 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 4))) (+.f64 (*.f64 (-.f64 1/2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/3 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3)))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (*.f64 2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) 1) x) (*.f64 2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) 1) x) (+.f64 (*.f64 2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) 1) x) (+.f64 (*.f64 2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (-.f64 (*.f64 -2 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))) 1/3) (pow.f64 x 3)) (*.f64 2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
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(-.f64 (+.f64 (/.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (tan.f64 x) 3) -4))) (-.f64 (/.f64 (tan.f64 x) 4) (/.f64 (tan.f64 (+.f64 x eps)) 2))) |
(-.f64 (+.f64 (+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)) (*.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 x) 1/2)) (+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)) (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -4))) (-.f64 (/.f64 (tan.f64 x) 4) (+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (neg.f64 (tan.f64 x))) (-.f64 (+.f64 (*.f64 (tan.f64 x) -1/2) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 (+.f64 x eps)))) (+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (tan.f64 (+.f64 x eps)) 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 2 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (-.f64 (+.f64 (*.f64 (tan.f64 x) 1/2) (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (/.f64 (tan.f64 x) -4) (/.f64 (tan.f64 (+.f64 x eps)) 2)))) |
(*.f64 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(*.f64 1 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(*.f64 1/2 (*.f64 2 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(*.f64 1/4 (*.f64 2 (*.f64 2 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) |
(*.f64 (neg.f64 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) -1) |
(*.f64 (*.f64 2 (*.f64 2 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) 1/4) |
(*.f64 (*.f64 2 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1/2) |
(/.f64 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(/.f64 (neg.f64 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) -1) |
(/.f64 (*.f64 2 (*.f64 2 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) 4) |
(/.f64 (*.f64 2 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) 2) |
(/.f64 (+.f64 (*.f64 2 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x))) (*.f64 2 (+.f64 (neg.f64 (tan.f64 x)) (*.f64 2 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) 4) |
(/.f64 (+.f64 (*.f64 2 (+.f64 (neg.f64 (tan.f64 x)) (*.f64 2 (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (*.f64 2 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)))) 4) |
(/.f64 (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 2 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))) 2) |
(/.f64 (+.f64 (neg.f64 (tan.f64 x)) (*.f64 2 (+.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (tan.f64 (+.f64 x eps)) 2)))) 2) |
(/.f64 (+.f64 (*.f64 2 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))) (*.f64 (tan.f64 (+.f64 x eps)) 2)) 2) |
(/.f64 (+.f64 (*.f64 2 (+.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (tan.f64 (+.f64 x eps)) 2))) (neg.f64 (tan.f64 x))) 2) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 2 (*.f64 2 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) 8) |
(/.f64 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (-.f64 (+.f64 (tan.f64 x) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) (*.f64 (tan.f64 (+.f64 x eps)) 2))) 2) |
(pow.f64 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(neg.f64 (neg.f64 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
| Outputs |
|---|
(*.f64 (-.f64 1/2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) |
(*.f64 (-.f64 1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (*.f64 (-.f64 1/2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x)) |
(+.f64 (*.f64 (-.f64 1/2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps))) |
(+.f64 (*.f64 (-.f64 1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1/2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/3 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))))) |
(+.f64 (*.f64 (pow.f64 x 3) (*.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 -1 (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) 1/3))) -1)) (+.f64 (*.f64 (-.f64 1/2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (*.f64 (pow.f64 x 3) (neg.f64 (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 1/3 (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))))) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (*.f64 (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/3 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2)))))) (neg.f64 (pow.f64 x 3))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 4))) (+.f64 (*.f64 (-.f64 1/2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/3 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (+.f64 (*.f64 (-.f64 1/2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (*.f64 (pow.f64 x 3) (*.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 -1 (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) 1/3))) -1))) (*.f64 (pow.f64 x 4) (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 -1 (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 1/6 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6))))) (cos.f64 eps)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 -1/2 (cos.f64 eps))))) -1)))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (+.f64 (*.f64 (-.f64 1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (*.f64 (pow.f64 x 3) (neg.f64 (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 1/3 (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))))) (*.f64 (pow.f64 x 4) (neg.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (+.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 1/6 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2))))))) (cos.f64 eps)) (*.f64 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)) -1/3)))))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (*.f64 -1 (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/3 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3)) (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/6 (pow.f64 (cos.f64 eps) 2))) (+.f64 -1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (*.f64 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)) -1/3)) (pow.f64 x 4)))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
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(/.f64 (+.f64 (*.f64 2 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))) (*.f64 (tan.f64 (+.f64 x eps)) 2)) 2) |
(-.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 (+.f64 eps x)))) |
(-.f64 (-.f64 (*.f64 2 (tan.f64 (+.f64 eps x))) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 (+.f64 (*.f64 2 (+.f64 (-.f64 (*.f64 (tan.f64 x) -1/2) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (tan.f64 (+.f64 x eps)) 2))) (neg.f64 (tan.f64 x))) 2) |
(/.f64 (+.f64 (neg.f64 (tan.f64 x)) (*.f64 2 (+.f64 (-.f64 (*.f64 -1/2 (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 2 (tan.f64 (+.f64 eps x)))))) 2) |
(/.f64 (-.f64 (*.f64 2 (+.f64 (-.f64 (*.f64 -1/2 (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 2 (tan.f64 (+.f64 eps x))))) (tan.f64 x)) 2) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 2 (*.f64 2 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) 8) |
(-.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 (+.f64 eps x)))) |
(-.f64 (-.f64 (*.f64 2 (tan.f64 (+.f64 eps x))) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (-.f64 (+.f64 (tan.f64 x) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) (*.f64 (tan.f64 (+.f64 x eps)) 2))) 2) |
(/.f64 (-.f64 (*.f64 2 (tan.f64 (+.f64 eps x))) (-.f64 (+.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) (tan.f64 x)) (-.f64 (*.f64 2 (tan.f64 (+.f64 eps x))) (tan.f64 x)))) 2) |
(/.f64 (-.f64 (-.f64 (*.f64 2 (tan.f64 (+.f64 eps x))) (tan.f64 x)) (-.f64 (*.f64 2 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))) 2) |
(/.f64 (-.f64 (*.f64 2 (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) (-.f64 (*.f64 2 (-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)))) 2) |
(pow.f64 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(-.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 (+.f64 eps x)))) |
(-.f64 (-.f64 (*.f64 2 (tan.f64 (+.f64 eps x))) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(neg.f64 (neg.f64 (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 (+.f64 eps x)))) |
(-.f64 (-.f64 (*.f64 2 (tan.f64 (+.f64 eps x))) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 eps x))) |
| ✓ | 1.6b | (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) |
| ✓ | 2.8b | (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 3.1b | (cos.f64 (+.f64 eps x)) |
Compiled 129 to 49 computations (62% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 56.0ms | eps | @ | inf | (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 17.0ms | eps | @ | inf | (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 eps x))) |
| 4.0ms | eps | @ | 0 | (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 4.0ms | x | @ | inf | (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 3.0ms | eps | @ | -inf | (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1334× | rational_best-simplify-51 |
| 1176× | rational_best-4 |
| 1176× | rational_best-2 |
| 1176× | rational_best-3 |
| 1176× | rational_best-1 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 185 |
| 1 | 189 | 185 |
| 2 | 577 | 93 |
| 3 | 2787 | 79 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) |
(/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 eps x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 0 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (sin.f64 0)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 eps) 2) (/.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (neg.f64 eps)) (sin.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (sin.f64 0) (sin.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 0) (sin.f64 (neg.f64 eps))) (*.f64 (cos.f64 (neg.f64 eps)) (sin.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 0)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 0) (cos.f64 (-.f64 eps (*.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 (*.f64 (PI.f64) 1/2)) (sin.f64 (-.f64 eps (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 (cos.f64 eps) 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) (*.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (cos.f64 eps) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (cos.f64 eps) 2)) (/.f64 (cos.f64 0) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 eps) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 eps) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 eps))))) |
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| 1× | egg-herbie |
| 1424× | rational_best-simplify-64 |
| 964× | rational_best-simplify-1 |
| 952× | rational_best-simplify-54 |
| 858× | rational_best-simplify-47 |
| 678× | rational_best-simplify-3 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 421 | 11829 |
| 1 | 1158 | 11355 |
| 2 | 3388 | 11203 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x))))) (*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (cos.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 2)) (*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))) |
(+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (cos.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 2)) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 (*.f64 -1/6 (/.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 3))) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))) (*.f64 1/6 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x))))))) (*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 (neg.f64 x)) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 (neg.f64 x)) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 (neg.f64 x)) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 (neg.f64 x)) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
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(-.f64 (/.f64 (*.f64 (cos.f64 (neg.f64 x)) (sin.f64 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (+.f64 (/.f64 (*.f64 (sin.f64 (+.f64 (*.f64 -1 eps) (*.f64 1/2 (PI.f64)))) (sin.f64 (neg.f64 x))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 (neg.f64 x)) (sin.f64 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (+.f64 (/.f64 (*.f64 (sin.f64 (+.f64 (*.f64 -1 eps) (*.f64 1/2 (PI.f64)))) (sin.f64 (neg.f64 x))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
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(+.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 0 (cos.f64 x))) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 1/2 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) |
(*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1) |
(*.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) -1) |
(*.f64 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) 1/2) |
(*.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) 1/4) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1) |
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) -1) |
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) 2) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) 4) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1) |
(neg.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(+.f64 (cos.f64 eps) 0) |
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 0))) |
(+.f64 0 (cos.f64 eps)) |
(+.f64 (*.f64 (sin.f64 eps) (sin.f64 0)) (cos.f64 eps)) |
(+.f64 (/.f64 (cos.f64 eps) 2) (/.f64 (cos.f64 eps) 2)) |
(+.f64 (*.f64 (cos.f64 (neg.f64 eps)) (sin.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (sin.f64 0) (sin.f64 (neg.f64 eps)))) |
(+.f64 (*.f64 (sin.f64 0) (sin.f64 (neg.f64 eps))) (*.f64 (cos.f64 (neg.f64 eps)) (sin.f64 (*.f64 (PI.f64) 1/2)))) |
(-.f64 (cos.f64 eps) 0) |
(-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 0))) |
(-.f64 (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 0)))) |
(-.f64 0 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 0)) (cos.f64 eps))) |
(-.f64 (*.f64 (sin.f64 0) (cos.f64 (-.f64 eps (*.f64 (PI.f64) 1/2)))) (*.f64 (sin.f64 (*.f64 (PI.f64) 1/2)) (sin.f64 (-.f64 eps (*.f64 (PI.f64) 1/2))))) |
(*.f64 1/2 (*.f64 (cos.f64 eps) 2)) |
(*.f64 1/2 (*.f64 (*.f64 (cos.f64 eps) 2) (cos.f64 0))) |
(*.f64 (cos.f64 eps) 1) |
(*.f64 (cos.f64 eps) (cos.f64 0)) |
(*.f64 (cos.f64 eps) (*.f64 (cos.f64 0) (cos.f64 0))) |
(*.f64 1 (cos.f64 eps)) |
(*.f64 (*.f64 (cos.f64 eps) 2) 1/2) |
(*.f64 (*.f64 (cos.f64 eps) 2) (/.f64 (cos.f64 0) 2)) |
(*.f64 (cos.f64 0) (cos.f64 eps)) |
(*.f64 (*.f64 2 (*.f64 (cos.f64 eps) 2)) 1/4) |
(*.f64 (*.f64 2 (*.f64 (cos.f64 eps) 2)) (/.f64 (cos.f64 0) 4)) |
(*.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) 1/2) |
(/.f64 (cos.f64 eps) 1) |
(/.f64 (*.f64 (cos.f64 eps) 2) 2) |
(/.f64 (*.f64 2 (*.f64 (cos.f64 eps) 2)) 4) |
(/.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) 2) |
(pow.f64 (cos.f64 eps) 1) |
(cos.f64 eps) |
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 0) |
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 0 (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (/.f64 0 (cos.f64 (+.f64 eps x))))) |
(+.f64 0 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))) (cos.f64 (+.f64 eps x))))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (neg.f64 (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2))) |
(+.f64 (+.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (/.f64 0 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))) (cos.f64 (+.f64 eps x)))) (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 0) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 0 (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (/.f64 0 (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 0 (cos.f64 (+.f64 eps x))))) |
(-.f64 0 (neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))) (cos.f64 (+.f64 eps x)))) |
(-.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (+.f64 (neg.f64 (/.f64 0 (cos.f64 (+.f64 eps x)))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))) (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 (cos.f64 (+.f64 eps x)) 2))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (-.f64 (/.f64 (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps))) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))))) |
(-.f64 (+.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (/.f64 0 (cos.f64 (+.f64 eps x)))) (neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(-.f64 (neg.f64 (/.f64 0 (cos.f64 (+.f64 eps x)))) (neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (cos.f64 (+.f64 eps x))) (-.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))) (cos.f64 (+.f64 eps x))) (/.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (cos.f64 (+.f64 eps x))))) |
(-.f64 (-.f64 (/.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (cos.f64 (+.f64 eps x))) (/.f64 0 (cos.f64 (+.f64 eps x)))) (-.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))) (cos.f64 (+.f64 eps x))) (/.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (cos.f64 (+.f64 eps x))))) |
(-.f64 (-.f64 (/.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))) (cos.f64 (+.f64 eps x)))) (-.f64 0 (/.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (cos.f64 (+.f64 eps x))))) |
(-.f64 (-.f64 (/.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))) (cos.f64 (+.f64 eps x)))) (-.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (/.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (cos.f64 (+.f64 eps x))))) |
(-.f64 (-.f64 (/.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (cos.f64 (+.f64 eps x))) (+.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (/.f64 0 (cos.f64 (+.f64 eps x))))) (-.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))) (cos.f64 (+.f64 eps x))) (/.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (cos.f64 (+.f64 eps x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x)))) |
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 1 (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(*.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1/2 (cos.f64 (+.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x))) 1/2) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x))) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x))))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) 4))) |
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x))) |
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) 4)) (*.f64 (sin.f64 (+.f64 eps x)) 4)) |
(*.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x)))) 1/4) |
(*.f64 (*.f64 2 (*.f64 (sin.f64 (+.f64 eps x)) 4)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 4)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 eps x))))) |
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x))) (/.f64 1 (/.f64 2 (cos.f64 (+.f64 eps x))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (cos.f64 (+.f64 eps x))) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 4) (cos.f64 (+.f64 eps x))))) |
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) |
(neg.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
| Outputs |
|---|
(*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (sin.f64 x)) (cos.f64 x))) |
(neg.f64 (/.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (sin.f64 x)) (cos.f64 x))) |
(+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x))))) (*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (sin.f64 x)) (cos.f64 x))) (*.f64 eps (-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 x))) (/.f64 -1 (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (PI.f64)))) (/.f64 -1 (cos.f64 x)))))) |
(+.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (sin.f64 x)) (cos.f64 x))) (*.f64 eps (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))) (neg.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (PI.f64)))) (cos.f64 x)))))) |
(+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (cos.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 2)) (*.f64 -1 (+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))) |
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(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 1 (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1/2 (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x))) 1/2) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x))) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) 4))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) 4)) (*.f64 (sin.f64 (+.f64 eps x)) 4)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x)))) 1/4) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 2 (*.f64 (sin.f64 (+.f64 eps x)) 4)) (/.f64 1 (*.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 4)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x))) (/.f64 1 (/.f64 1 (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (cos.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x))) (/.f64 1 (/.f64 2 (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (cos.f64 (+.f64 eps x))) (/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 4) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(neg.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
Compiled 63806 to 26975 computations (57.7% saved)
81 alts after pruning (75 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1640 | 23 | 1663 |
| Fresh | 5 | 52 | 57 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 6 | 8 |
| Total | 1648 | 81 | 1729 |
| Status | Error | Program |
|---|---|---|
| 59.6b | (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) | |
| 61.2b | (/.f64 (sin.f64 x) (cos.f64 x)) | |
| ✓ | 24.2b | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
| 58.2b | (-.f64 (/.f64 (/.f64 (+.f64 (+.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps)))) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 x) 2))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 58.5b | (-.f64 (/.f64 (/.f64 (+.f64 (+.f64 (cos.f64 (-.f64 (+.f64 eps x) (*.f64 (PI.f64) 1/2))) (cos.f64 (+.f64 x (-.f64 (*.f64 (PI.f64) 1/2) eps)))) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 x) 2))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 57.9b | (-.f64 (/.f64 (/.f64 (+.f64 (+.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 eps x))) (cos.f64 (-.f64 (+.f64 eps x) (*.f64 (PI.f64) 1/2)))) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) 2))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 58.0b | (-.f64 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 eps x) (*.f64 1/2 (PI.f64)))) (+.f64 (cos.f64 (+.f64 x (-.f64 (*.f64 1/2 (PI.f64)) eps))) (*.f64 2 (sin.f64 (+.f64 x eps))))) 2) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.7b | (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 (neg.f64 eps))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) x)) (sin.f64 (neg.f64 eps)))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 50.1b | (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) eps)) (sin.f64 (neg.f64 x)))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.5b | (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 (neg.f64 x))) (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x)))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.8b | (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 55.4b | (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 55.0b | (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.6b | (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) 4) (/.f64 (+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))) 4)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| ✓ | 22.8b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 22.9b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 4)) (/.f64 (*.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) 4)))) | |
| 23.0b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 2 (cos.f64 x))))) | |
| 23.0b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 x)))) | |
| 22.9b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))) (/.f64 1 (/.f64 1 (cos.f64 x))))) | |
| 22.9b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x))) | |
| 23.1b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) | |
| 37.7b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) x) | |
| 42.9b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 eps (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 50.3b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| ✓ | 35.2b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 35.2b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))) (/.f64 1 (/.f64 1 (cos.f64 x))))) | |
| 35.2b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 x))) (cos.f64 x))) | |
| 35.4b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) | |
| 49.7b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.6b | (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 57.4b | (-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (-.f64 eps x) (*.f64 1/2 (PI.f64))))) 2)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.3b | (-.f64 (/.f64 (tan.f64 x) -4) (-.f64 (*.f64 (tan.f64 x) 3/4) (tan.f64 (+.f64 eps x)))) | |
| 37.4b | (-.f64 (/.f64 (tan.f64 x) -4) (+.f64 (/.f64 (tan.f64 x) 4) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 -1/2 (tan.f64 x)) (*.f64 2 (tan.f64 (+.f64 eps x))))))) | |
| 35.2b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) 2) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 35.2b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 50.5b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 50.9b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.0b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 60.1b | (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.8b | (-.f64 (/.f64 (sin.f64 eps) (/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps))) 2)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.8b | (-.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 (+.f64 eps x)) 2)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) | |
| 36.7b | (-.f64 (/.f64 (sin.f64 eps) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) 2) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.9b | (-.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps))) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 54.0b | (-.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (+.f64 (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 x eps)))) (cos.f64 (+.f64 0 (neg.f64 (-.f64 eps x))))) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.6b | (-.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 51.5b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 58.4b | (-.f64 (/.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 eps x))) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 54.3b | (-.f64 (/.f64 eps (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 57.1b | (-.f64 (-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 (-.f64 (cos.f64 (+.f64 x (-.f64 (*.f64 1/2 (PI.f64)) eps))) (sin.f64 (+.f64 x eps))) (*.f64 2 (cos.f64 (+.f64 x eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 37.4b | (-.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) | |
| 37.4b | (-.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (neg.f64 (tan.f64 (+.f64 x eps)))) | |
| 22.8b | (-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 44.3b | (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) -2) -2) | |
| 61.2b | (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3/2) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) | |
| 35.5b | (-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.3b | (-.f64 (*.f64 (tan.f64 x) 2) (-.f64 (*.f64 (tan.f64 x) 3) (tan.f64 (+.f64 x eps)))) | |
| 37.8b | (-.f64 (*.f64 (tan.f64 x) 2) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) | |
| 37.4b | (-.f64 (*.f64 (tan.f64 x) -1/2) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (tan.f64 x) -1/2) (*.f64 (tan.f64 (+.f64 x eps)) 2)))) | |
| 24.3b | (-.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))) | |
| ✓ | 36.1b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 36.4b | (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (*.f64 (tan.f64 x) -3) (/.f64 (tan.f64 x) 1/4))) | |
| 44.3b | (-.f64 -2 (-.f64 -2 (tan.f64 (+.f64 x eps)))) | |
| ✓ | 26.8b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
| 43.0b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) eps) | |
| 26.9b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps))) | |
| 28.8b | (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) | |
| 43.0b | (+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 1) | |
| 45.6b | (+.f64 (-.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps)))) (+.f64 1 (neg.f64 x))) | |
| 37.7b | (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 x))) (tan.f64 x)) | |
| 37.2b | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 x) -2)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) | |
| 31.1b | (+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (pow.f64 eps 2)))) | |
| 30.7b | (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (sin.f64 (neg.f64 x))) (sin.f64 x)) (cos.f64 x))) (*.f64 eps (-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 x))) (/.f64 -1 (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (PI.f64)))) (/.f64 -1 (cos.f64 x)))))) | |
| 42.8b | (+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) | |
| 44.3b | (+.f64 -1/2 (+.f64 (-.f64 -1/2 (*.f64 (tan.f64 (+.f64 eps x)) 1/2)) (+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 3/2) 1))) | |
| 24.3b | (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps)) | |
| 24.2b | (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) | |
| 59.6b | (*.f64 (sin.f64 x) (/.f64 -1 (cos.f64 x))) | |
| 30.7b | (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) | |
| ✓ | 37.2b | (tan.f64 (+.f64 x eps)) |
| 42.2b | eps | |
| 61.1b | 0 |
Compiled 1971 to 1212 computations (38.5% saved)
3 calls:
| 2.2s | x |
| 1.3s | eps |
| 923.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 3 | eps |
| 5.6b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 3594 to 1381 computations (61.6% saved)
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