Time bar (total: 45.0s)
| 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)
| 11.9s | 3530× | body | 1024 | valid |
| 1.4s | 1472× | body | 512 | valid |
| 1.4s | 1259× | body | 2048 | valid |
| 400.0ms | 1991× | body | 256 | valid |
| 4.0ms | 4× | body | 4096 | valid |
| 2× | egg-herbie |
| 8600× | rational.json-simplify-41 |
| 5414× | rational.json-simplify-1 |
| 1134× | trig.json-simplify-17 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 22 | 42 |
| 2 | 33 | 42 |
| 3 | 50 | 42 |
| 4 | 75 | 42 |
| 5 | 109 | 42 |
| 6 | 151 | 42 |
| 7 | 204 | 42 |
| 8 | 264 | 42 |
| 9 | 333 | 42 |
| 10 | 366 | 42 |
| 11 | 375 | 42 |
| 12 | 384 | 42 |
| 13 | 393 | 42 |
| 14 | 402 | 42 |
| 15 | 524 | 42 |
| 16 | 565 | 42 |
| 17 | 574 | 42 |
| 18 | 583 | 42 |
| 19 | 592 | 42 |
| 20 | 601 | 42 |
| 21 | 610 | 42 |
| 22 | 619 | 42 |
| 23 | 628 | 42 |
| 24 | 637 | 42 |
| 25 | 646 | 42 |
| 26 | 894 | 42 |
| 27 | 984 | 42 |
| 28 | 993 | 42 |
| 29 | 1002 | 42 |
| 30 | 1011 | 42 |
| 31 | 1020 | 42 |
| 32 | 1029 | 42 |
| 33 | 1038 | 42 |
| 34 | 1047 | 42 |
| 35 | 1056 | 42 |
| 36 | 1065 | 42 |
| 37 | 1074 | 42 |
| 38 | 1083 | 42 |
| 39 | 1092 | 42 |
| 40 | 1101 | 42 |
| 41 | 1110 | 42 |
| 42 | 1119 | 42 |
| 43 | 1128 | 42 |
| 44 | 1137 | 42 |
| 45 | 1146 | 42 |
| 46 | 1155 | 42 |
| 47 | 1705 | 42 |
| 48 | 1711 | 42 |
| 49 | 1717 | 42 |
| 50 | 1723 | 42 |
| 51 | 1729 | 42 |
| 52 | 1735 | 42 |
| 53 | 1964 | 42 |
| 54 | 1973 | 42 |
| 55 | 1982 | 42 |
| 56 | 1991 | 42 |
| 57 | 2000 | 42 |
| 58 | 2009 | 42 |
| 59 | 2018 | 42 |
| 60 | 2027 | 42 |
| 61 | 2036 | 42 |
| 62 | 2045 | 42 |
| 63 | 2054 | 42 |
| 64 | 2063 | 42 |
| 65 | 2072 | 42 |
| 66 | 2081 | 42 |
| 67 | 2090 | 42 |
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| 165 | 4368 | 42 |
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| 169 | 6960 | 42 |
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| 174 | 6990 | 42 |
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| 181 | 7032 | 42 |
| 182 | 7038 | 42 |
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| 185 | 7056 | 42 |
| 186 | 7062 | 42 |
| 187 | 7068 | 42 |
| 188 | 7074 | 42 |
| 189 | 7080 | 42 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| 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 |
| 9558× | rational.json-simplify-41 |
| 4590× | rational.json-simplify-1 |
| 760× | trig.json-simplify-17 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 16 | 21 |
| 2 | 25 | 21 |
| 3 | 40 | 21 |
| 4 | 63 | 21 |
| 5 | 98 | 21 |
| 6 | 143 | 21 |
| 7 | 199 | 21 |
| 8 | 270 | 21 |
| 9 | 351 | 21 |
| 10 | 377 | 21 |
| 11 | 383 | 21 |
| 12 | 389 | 21 |
| 13 | 395 | 21 |
| 14 | 401 | 21 |
| 15 | 521 | 21 |
| 16 | 655 | 21 |
| 17 | 706 | 21 |
| 18 | 712 | 21 |
| 19 | 718 | 21 |
| 20 | 724 | 21 |
| 21 | 730 | 21 |
| 22 | 736 | 21 |
| 23 | 742 | 21 |
| 24 | 748 | 21 |
| 25 | 754 | 21 |
| 26 | 760 | 21 |
| 27 | 1165 | 21 |
| 28 | 1288 | 21 |
| 29 | 1294 | 21 |
| 30 | 1300 | 21 |
| 31 | 1306 | 21 |
| 32 | 1312 | 21 |
| 33 | 1318 | 21 |
| 34 | 1324 | 21 |
| 35 | 1330 | 21 |
| 36 | 1336 | 21 |
| 37 | 1342 | 21 |
| 38 | 1348 | 21 |
| 39 | 1354 | 21 |
| 40 | 1358 | 21 |
| 41 | 1362 | 21 |
| 42 | 1366 | 21 |
| 43 | 1370 | 21 |
| 44 | 1374 | 21 |
| 45 | 1390 | 21 |
| 46 | 1396 | 21 |
| 47 | 1402 | 21 |
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| 57 | 2530 | 21 |
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| 187 | 7273 | 21 |
| 188 | 7277 | 21 |
| 189 | 7281 | 21 |
| 190 | 7285 | 21 |
| 1× | node limit |
| 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 |
|---|---|---|
| ▶ | 37.5b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 9 to 6 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (tan.f64 x) |
| ✓ | 1.7b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| ✓ | 2.4b | (tan.f64 (+.f64 x eps)) |
Compiled 20 to 6 computations (70% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | inf | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 1.0ms | eps | @ | 0 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 1.0ms | x | @ | 0 | (tan.f64 (+.f64 x eps)) |
| 1.0ms | x | @ | inf | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 1.0ms | eps | @ | 0 | (tan.f64 (+.f64 x eps)) |
| 1× | batch-egg-rewrite |
| 1518× | exponential.json-3 |
| 1518× | rational.json-1 |
| 1518× | rational.json-2 |
| 1518× | rational.json-4 |
| 1518× | rational.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 37 |
| 1 | 63 | 37 |
| 2 | 158 | 37 |
| 3 | 337 | 37 |
| 4 | 671 | 37 |
| 5 | 1622 | 37 |
| 6 | 3630 | 37 |
| 7 | 5760 | 37 |
| 8 | 7283 | 37 |
| 1× | node limit |
| Inputs |
|---|
(tan.f64 (+.f64 x eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(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)) 1/2) (*.f64 (tan.f64 (+.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 x eps)) 0)))) (#(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 4 (/.f64 (tan.f64 (+.f64 x eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) 1/2))))) (#(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 1/2 (*.f64 (tan.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) 2)))) (#(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 (tan.f64 (+.f64 x eps)) 4) 4)))) (#(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 (tan.f64 (+.f64 x eps)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 8)))) 64)))) (#(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)) (tan.f64 (neg.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 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (neg.f64 x)) (tan.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.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)) (-.f64 1 (tan.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (tan.f64 x)) (+.f64 (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)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 (tan.f64 x)))))) (#(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 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) -1) (+.f64 1 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2)))))) (#(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 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 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) 1) (/.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) 1/2) (/.f64 (tan.f64 x) 4)))))) (#(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 1/2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 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 (*.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)) 1/2) 2)))) (#(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 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 4)))) (#(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 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) 2)))) (#(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)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 8) 8)))) (#(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 x) (tan.f64 (+.f64 x eps))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 8)))) 64)))) (#(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)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) 1/2) (*.f64 (tan.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (tan.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (tan.f64 x) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (tan.f64 x) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (tan.f64 x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (tan.f64 x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (tan.f64 x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) 1))))) |
| 1× | egg-herbie |
| 1722× | rational.json-simplify-35 |
| 1548× | rational.json-simplify-51 |
| 1044× | rational.json-simplify-52 |
| 992× | rational.json-simplify-1 |
| 894× | rational.json-simplify-2 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 5835 |
| 1 | 698 | 5495 |
| 2 | 1675 | 5159 |
| 3 | 3497 | 5061 |
| 4 | 5722 | 5061 |
| 5 | 7182 | 5061 |
| 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))) |
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 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.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)) 1/2) (*.f64 (tan.f64 (+.f64 x eps)) 1/2)) |
(-.f64 (tan.f64 (+.f64 x eps)) 0) |
(*.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 4 (/.f64 (tan.f64 (+.f64 x eps)) 4)) |
(*.f64 4 (*.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) 1)) |
(*.f64 4 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) 1/2)) |
(*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 4) 1/4) |
(*.f64 1/2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) |
(*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) 2) |
(*.f64 1/4 (*.f64 (tan.f64 (+.f64 x eps)) 4)) |
(*.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) 4) |
(/.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 (tan.f64 (+.f64 x eps)) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 8)))) 64) |
(pow.f64 (tan.f64 (+.f64 x eps)) 1) |
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (neg.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 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x)))) |
(+.f64 (tan.f64 (neg.f64 x)) (tan.f64 (+.f64 x eps))) |
(+.f64 -1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x)))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1) |
(+.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2)) |
(+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x))) |
(+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 -2 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 (tan.f64 x))) |
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2) |
(+.f64 (+.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) -1) (+.f64 1 (*.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 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 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1) |
(*.f64 4 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) |
(*.f64 4 (*.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 1)) |
(*.f64 4 (*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) 1/2)) |
(*.f64 4 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (tan.f64 x) 4))) |
(*.f64 4 (-.f64 (*.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) 1) (/.f64 (tan.f64 x) 4))) |
(*.f64 4 (-.f64 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) 1/2) (/.f64 (tan.f64 x) 4))) |
(*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 1/4) |
(*.f64 1/2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) |
(*.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
(*.f64 -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)) 1/2) 2) |
(*.f64 1/4 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4)) |
(*.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 4) |
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) 2) |
(/.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 4) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 8) 8) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -2) -2) |
(/.f64 (*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 4) -4) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 4)) -8) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 8)))) 64) |
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1) |
(neg.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
(+.f64 (tan.f64 x) 0) |
(+.f64 0 (tan.f64 x)) |
(+.f64 (*.f64 (tan.f64 x) 1/2) (*.f64 (tan.f64 x) 1/2)) |
(-.f64 (tan.f64 x) 0) |
(*.f64 (tan.f64 x) 1) |
(*.f64 1 (tan.f64 x)) |
(*.f64 2 (*.f64 (tan.f64 x) 1/2)) |
(*.f64 (*.f64 (tan.f64 x) 2) 1/2) |
(*.f64 4 (/.f64 (tan.f64 x) 4)) |
(*.f64 4 (*.f64 (/.f64 (tan.f64 x) 4) 1)) |
(*.f64 4 (*.f64 (*.f64 (tan.f64 x) 1/2) 1/2)) |
(*.f64 (*.f64 (tan.f64 x) 4) 1/4) |
(*.f64 1/2 (*.f64 (tan.f64 x) 2)) |
(*.f64 (*.f64 (tan.f64 x) 1/2) 2) |
(*.f64 1/4 (*.f64 (tan.f64 x) 4)) |
(*.f64 (/.f64 (tan.f64 x) 4) 4) |
(/.f64 (tan.f64 x) 1) |
(/.f64 (*.f64 (tan.f64 x) 2) 2) |
(/.f64 (*.f64 (tan.f64 x) 4) 4) |
(/.f64 (*.f64 (tan.f64 x) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (tan.f64 x) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (tan.f64 x) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (tan.f64 x) 8)))) 64) |
(pow.f64 (tan.f64 x) 1) |
| 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 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) x)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (+.f64 1 (/.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 (/.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) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (pow.f64 x 2) (cos.f64 eps)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 eps) (/.f64 (*.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 1 (neg.f64 (/.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)))) (+.f64 x (/.f64 (*.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) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (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 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.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 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)))) (*.f64 (pow.f64 x 3) -1)) (+.f64 (/.f64 (sin.f64 eps) (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 (pow.f64 x 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 1/6 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)))) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 eps) (/.f64 (*.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x)))) |
(+.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)))) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))) (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (neg.f64 (pow.f64 x 3))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (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 (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) |
(/.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 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 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 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.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 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) |
(+.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 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (neg.f64 (/.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 (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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 2))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (+.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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))))) |
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(tan.f64 (+.f64 eps x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 8)))) 64) |
(tan.f64 (+.f64 eps x)) |
(pow.f64 (tan.f64 (+.f64 x eps)) 1) |
(tan.f64 (+.f64 eps x)) |
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (neg.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)) 0) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 0 (-.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 1 (+.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 (tan.f64 (neg.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 (+.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)) (-.f64 1 (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 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) (*.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 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (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 1 (tan.f64 x)) (+.f64 (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)) 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)) 1) (-.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 (-.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 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) -1) (+.f64 1 (*.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 (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 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 (-.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 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 4 (*.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 4) 1)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 4 (*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) 1/2)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(*.f64 4 (-.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) (/.f64 (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 4 (-.f64 (*.f64 (/.f64 (tan.f64 (+.f64 x eps)) 4) 1) (/.f64 (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 4 (-.f64 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) 1/2) (/.f64 (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 (-.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 1/2 (*.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 -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 (*.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)) 1/2) 2) |
(+.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 (-.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 (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 (-.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 (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)) 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 (+.f64 x eps)) (tan.f64 x)) 8) 8) |
(+.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 x) (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 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 8)) 16) |
(+.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 x) (tan.f64 (+.f64 x eps))) 4)) -8) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 8))) 32) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 8)))) 64) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(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)) |
(+.f64 (tan.f64 x) 0) |
(tan.f64 x) |
(+.f64 0 (tan.f64 x)) |
(tan.f64 x) |
(+.f64 (*.f64 (tan.f64 x) 1/2) (*.f64 (tan.f64 x) 1/2)) |
(tan.f64 x) |
(-.f64 (tan.f64 x) 0) |
(tan.f64 x) |
(*.f64 (tan.f64 x) 1) |
(tan.f64 x) |
(*.f64 1 (tan.f64 x)) |
(tan.f64 x) |
(*.f64 2 (*.f64 (tan.f64 x) 1/2)) |
(tan.f64 x) |
(*.f64 (*.f64 (tan.f64 x) 2) 1/2) |
(tan.f64 x) |
(*.f64 4 (/.f64 (tan.f64 x) 4)) |
(tan.f64 x) |
(*.f64 4 (*.f64 (/.f64 (tan.f64 x) 4) 1)) |
(tan.f64 x) |
(*.f64 4 (*.f64 (*.f64 (tan.f64 x) 1/2) 1/2)) |
(tan.f64 x) |
(*.f64 (*.f64 (tan.f64 x) 4) 1/4) |
(tan.f64 x) |
(*.f64 1/2 (*.f64 (tan.f64 x) 2)) |
(tan.f64 x) |
(*.f64 (*.f64 (tan.f64 x) 1/2) 2) |
(tan.f64 x) |
(*.f64 1/4 (*.f64 (tan.f64 x) 4)) |
(tan.f64 x) |
(*.f64 (/.f64 (tan.f64 x) 4) 4) |
(tan.f64 x) |
(/.f64 (tan.f64 x) 1) |
(tan.f64 x) |
(/.f64 (*.f64 (tan.f64 x) 2) 2) |
(tan.f64 x) |
(/.f64 (*.f64 (tan.f64 x) 4) 4) |
(tan.f64 x) |
(/.f64 (*.f64 (tan.f64 x) 8) 8) |
(tan.f64 x) |
(/.f64 (*.f64 2 (*.f64 (tan.f64 x) 8)) 16) |
(tan.f64 x) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (tan.f64 x) 8))) 32) |
(tan.f64 x) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (tan.f64 x) 8)))) 64) |
(tan.f64 x) |
(pow.f64 (tan.f64 x) 1) |
(tan.f64 x) |
Compiled 5983 to 3437 computations (42.6% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 166 | 20 | 186 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 166 | 21 | 187 |
| Status | Error | Program |
|---|---|---|
| ▶ | 37.6b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 61.2b | (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) | |
| 38.3b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) | |
| ▶ | 50.7b | (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
| 39.3b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) (tan.f64 x)) | |
| 39.1b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) (tan.f64 x)) | |
| 38.8b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) x)) (tan.f64 x)) | |
| ✓ | 37.5b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| ▶ | 39.1b | (-.f64 (tan.f64 (+.f64 x eps)) x) |
| 32.1b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) | |
| 33.5b | (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 x 3) (neg.f64 (+.f64 1/2 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (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 x (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) | |
| ▶ | 47.5b | (+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
| 33.4b | (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))) | |
| 47.6b | (+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2) | |
| 47.6b | (+.f64 (+.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) -1) (+.f64 1 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2))) | |
| 47.5b | (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1) | |
| 37.5b | (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x))) | |
| 30.8b | (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))) (*.f64 (pow.f64 eps 3) (neg.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) | |
| 30.8b | (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) | |
| 47.5b | (+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x)))) | |
| ▶ | 30.5b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
Compiled 1165 to 778 computations (33.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
| ✓ | 0.2b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
| ✓ | 0.3b | (pow.f64 (cos.f64 x) 2) |
| ✓ | 0.3b | (pow.f64 (sin.f64 x) 2) |
Compiled 51 to 30 computations (41.2% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 386.0ms | x | @ | 0 | (pow.f64 (cos.f64 x) 2) |
| 1.0ms | eps | @ | 0 | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
| 1.0ms | x | @ | inf | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
| 1.0ms | x | @ | -inf | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
| 0.0ms | eps | @ | inf | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
| 1× | batch-egg-rewrite |
| 1642× | rational.json-1 |
| 1642× | rational.json-2 |
| 1642× | rational.json-4 |
| 1642× | rational.json-3 |
| 1634× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 88 |
| 1 | 98 | 88 |
| 2 | 225 | 88 |
| 3 | 508 | 88 |
| 4 | 1260 | 88 |
| 5 | 4615 | 88 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (sin.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (*.f64 (sin.f64 x) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 x) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (pow.f64 (sin.f64 x) 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (neg.f64 (pow.f64 (sin.f64 x) 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (cos.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (cos.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (*.f64 (cos.f64 x) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (cos.f64 x)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 1 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4))) (*.f64 2 (*.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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| 1× | egg-herbie |
| 1646× | rational.json-simplify-35 |
| 1214× | rational.json-simplify-2 |
| 1010× | rational.json-simplify-1 |
| 692× | rational.json-simplify-53 |
| 570× | rational.json-simplify-50 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 285 | 4603 |
| 1 | 639 | 4519 |
| 2 | 2633 | 4385 |
| 3 | 5821 | 4243 |
| 4 | 7646 | 4243 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4))))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
eps |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 17/45 (*.f64 eps (pow.f64 x 6)))))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(+.f64 (pow.f64 (sin.f64 x) 2) 0) |
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) |
(+.f64 0 (pow.f64 (sin.f64 x) 2)) |
(+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) |
(-.f64 (pow.f64 (sin.f64 x) 2) 0) |
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) 1) |
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 1 (pow.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1) |
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4)) |
(*.f64 4 (pow.f64 (*.f64 (sin.f64 x) 1/2) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 1/8) |
(*.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -1/2) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2) |
(*.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) |
(*.f64 (pow.f64 (*.f64 (sin.f64 x) 2) 2) 1/4) |
(/.f64 (pow.f64 (sin.f64 x) 2) 1) |
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16) |
(/.f64 (*.f64 4 (neg.f64 (pow.f64 (sin.f64 x) 2))) -4) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2) |
(/.f64 (neg.f64 (*.f64 4 (neg.f64 (pow.f64 (sin.f64 x) 2)))) 4) |
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(+.f64 (pow.f64 (cos.f64 x) 2) 0) |
(+.f64 0 (pow.f64 (cos.f64 x) 2)) |
(-.f64 (pow.f64 (cos.f64 x) 2) 0) |
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 x) 2))) |
(*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2)) |
(*.f64 (pow.f64 (cos.f64 x) 2) 1) |
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2))) |
(*.f64 1 (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2) |
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 1/4) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1) |
(*.f64 4 (/.f64 (pow.f64 (cos.f64 x) 2) 4)) |
(*.f64 4 (pow.f64 (*.f64 (cos.f64 x) 1/2) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 8) 1/8) |
(*.f64 1/2 (*.f64 2 (pow.f64 (cos.f64 x) 2))) |
(*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 4)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2) 2) |
(*.f64 (pow.f64 (*.f64 2 (cos.f64 x)) 2) 1/4) |
(/.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (pow.f64 (cos.f64 x) 2) 1) |
(/.f64 -1 (-.f64 0 (/.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 1 (/.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2) |
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 4) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1) |
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 8) 8) |
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -2) -2) |
(/.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))) -2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) 16) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -2)) 2) |
(neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))) |
(+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 0) |
(+.f64 0 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) |
(-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 0) |
(/.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 1) |
(/.f64 (*.f64 2 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) 2) |
(/.f64 (*.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4)) 4) |
(/.f64 (*.f64 2 (*.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4))) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4))) (*.f64 2 (*.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4)))) 16) |
(pow.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 1) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 0) |
(+.f64 0 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 0) |
(*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) 1/2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2)) |
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 -1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 1)) |
(*.f64 -1 (/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))))) |
(*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/2) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) 1)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) 1)) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) 4))) |
(*.f64 4 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 4)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 4) 1/4) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) 8))) |
(*.f64 1/2 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 2 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1/2 (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) -2))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 x) 2) 1/2)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) -1) |
(*.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) 1/2)) |
(*.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) 2) |
(*.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (/.f64 2 (pow.f64 (cos.f64 x) 2))) |
(*.f64 1/4 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 4)) |
(*.f64 (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) (*.f64 (pow.f64 (sin.f64 x) 2) 4)) |
(*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 2 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (/.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))) |
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
| Outputs |
|---|
(pow.f64 x 2) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 2/45 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 -1/315 (pow.f64 x 8))))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (*.f64 2/45 (pow.f64 x 6))))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (*.f64 -1/315 (pow.f64 x 8))))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (pow.f64 x 2) -1)) |
(+.f64 1 (neg.f64 (pow.f64 x 2))) |
(-.f64 1 (pow.f64 x 2)) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -1) (*.f64 (pow.f64 x 4) 1/3))) |
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(+.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 6) -2/45))) |
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(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
eps |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
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(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) |
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(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3)))) |
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(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
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(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
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(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 x 2) |
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(+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3)) |
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(+.f64 (*.f64 (pow.f64 x 4) 2/3) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 17/45))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 17/45) (*.f64 (pow.f64 x 4) 2/3))) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
(-.f64 (pow.f64 (sin.f64 x) 2) 0) |
(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
(*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2)) |
(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4) |
(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -1/2) |
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(pow.f64 (sin.f64 x) 2) |
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(*.f64 (pow.f64 (*.f64 (sin.f64 x) 2) 2) 1/4) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8) |
(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (sin.f64 x) 2) |
(/.f64 (neg.f64 (*.f64 4 (neg.f64 (pow.f64 (sin.f64 x) 2)))) 4) |
(pow.f64 (sin.f64 x) 2) |
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
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(pow.f64 (cos.f64 x) 2) |
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(pow.f64 (cos.f64 x) 2) |
(-.f64 (pow.f64 (cos.f64 x) 2) 0) |
(pow.f64 (cos.f64 x) 2) |
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 x) 2))) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2)) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 (pow.f64 (cos.f64 x) 2) 1) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2))) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 1 (pow.f64 (cos.f64 x) 2)) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 1/4) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 4 (/.f64 (pow.f64 (cos.f64 x) 2) 4)) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 4 (pow.f64 (*.f64 (cos.f64 x) 1/2) 2)) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 8) 1/8) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 1/2 (*.f64 2 (pow.f64 (cos.f64 x) 2))) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 4)) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/2) 2) |
(pow.f64 (cos.f64 x) 2) |
(*.f64 (pow.f64 (*.f64 2 (cos.f64 x)) 2) 1/4) |
(pow.f64 (cos.f64 x) 2) |
(/.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (cos.f64 x) 2) |
(/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2))) |
(pow.f64 (cos.f64 x) 2) |
(/.f64 (pow.f64 (cos.f64 x) 2) 1) |
(pow.f64 (cos.f64 x) 2) |
(/.f64 -1 (-.f64 0 (/.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (cos.f64 x) 2) |
(/.f64 1 (/.f64 1 (pow.f64 (cos.f64 x) 2))) |
(pow.f64 (cos.f64 x) 2) |
(/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2) |
(pow.f64 (cos.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 4) |
(pow.f64 (cos.f64 x) 2) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1) |
(pow.f64 (cos.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 8) 8) |
(pow.f64 (cos.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -2) -2) |
(pow.f64 (cos.f64 x) 2) |
(/.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) |
(pow.f64 (cos.f64 x) 2) |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))) -2) |
(pow.f64 (cos.f64 x) 2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) 16) |
(pow.f64 (cos.f64 x) 2) |
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(pow.f64 (cos.f64 x) 2) |
(neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))) |
(pow.f64 (cos.f64 x) 2) |
(+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 0) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 0 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 0) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 1) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 2 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) 2) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4)) 4) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 2 (*.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4))) 8) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4))) (*.f64 2 (*.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4)))) 16) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 1) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
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(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))) |
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(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2)) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 2 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2)) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 2 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) 4))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 4 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 4) 1/4) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) 8))) |
(*.f64 (*.f64 8 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (*.f64 8 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 8 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/8 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (*.f64 8 (pow.f64 (sin.f64 x) 2)) (/.f64 1/8 (pow.f64 (cos.f64 x) 2))) |
(*.f64 1/2 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 2 (pow.f64 (sin.f64 x) 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))) |
(/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 2))) |
(/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))) |
(/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 2))) |
(/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1/2 (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) -2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 x) 2) 1/2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) -1) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) 1/2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 2 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2))))) |
(*.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 2 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) 2) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 1/2 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))))) |
(*.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2))))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (/.f64 2 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 1/4 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) (*.f64 (pow.f64 (sin.f64 x) 2) 4)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 2 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))) |
(/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 2))) |
(/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))) |
(/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 2))) |
(/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) |
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.9b | (-.f64 (tan.f64 (+.f64 x eps)) x) |
| 2.4b | (tan.f64 (+.f64 x eps)) |
Compiled 17 to 5 computations (70.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (tan.f64 (+.f64 x eps)) x) |
| 0.0ms | eps | @ | 0 | (-.f64 (tan.f64 (+.f64 x eps)) x) |
| 0.0ms | x | @ | inf | (-.f64 (tan.f64 (+.f64 x eps)) x) |
| 0.0ms | eps | @ | -inf | (-.f64 (tan.f64 (+.f64 x eps)) x) |
| 0.0ms | x | @ | -inf | (-.f64 (tan.f64 (+.f64 x eps)) x) |
| 1× | batch-egg-rewrite |
| 1756× | rational.json-simplify-35 |
| 1546× | exponential.json-3 |
| 1546× | rational.json-1 |
| 1546× | rational.json-2 |
| 1546× | rational.json-4 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 55 | 17 |
| 2 | 138 | 17 |
| 3 | 300 | 17 |
| 4 | 599 | 17 |
| 5 | 1434 | 17 |
| 6 | 3383 | 17 |
| 7 | 5260 | 17 |
| 8 | 7011 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (tan.f64 (+.f64 x eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (tan.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1/2) (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (+.f64 (tan.f64 (+.f64 x eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 x 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 x (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 x (tan.f64 (+.f64 x eps)))))))) |
| 1× | egg-herbie |
| 996× | rational.json-simplify-1 |
| 972× | rational.json-simplify-44 |
| 850× | rational.json-simplify-2 |
| 794× | rational.json-simplify-48 |
| 682× | rational.json-simplify-26 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 2560 |
| 1 | 442 | 2530 |
| 2 | 842 | 2488 |
| 3 | 1985 | 2334 |
| 4 | 4710 | 2334 |
| 5 | 5862 | 2334 |
| 6 | 6961 | 2170 |
| 7 | 7889 | 2170 |
| 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 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (+.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)))))) (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 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(*.f64 -1 x) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) |
(-.f64 (+.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)))))) 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 (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)))) 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 -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))))))))))))) x) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) |
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 x)) |
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 0) |
(+.f64 0 (-.f64 (tan.f64 (+.f64 x eps)) x)) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x))) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 x eps))) |
(+.f64 -1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 x))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 x)) -1) |
(+.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1/2) (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1/2)) |
(+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) x)) |
(+.f64 (-.f64 1 x) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 -2 (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 x 2))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 x)) |
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 x 2)) -2) |
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1) |
(*.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)) |
(*.f64 2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1/2)) |
(*.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -2) 1/2) |
(*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1) |
(*.f64 4 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1/4)) |
(*.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -4) 1/4) |
(*.f64 1/2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -2)) |
(*.f64 -1 (-.f64 x (tan.f64 (+.f64 x eps)))) |
(*.f64 -1 (*.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 1/2) 2)) |
(*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8) 1/8) |
(*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) -2) -1/2) |
(*.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1/2) 2) |
(*.f64 -2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 1/2)) |
(*.f64 1/4 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -4)) |
(*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1/4) 4) |
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1) |
(/.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -2) 2) |
(/.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1) |
(/.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -4) 4) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8) 8) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) -2) -2) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8)) 16) |
(/.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 4) -4) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 4)) -8) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 4))) -16) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8))))) 128) |
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1) |
(neg.f64 (-.f64 x (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 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 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 (*.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 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1))))) |
(+.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) |
(+.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 1/6 (+.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)))))) (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 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (*.f64 (+.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 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 (pow.f64 x 3) -1)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (pow.f64 x 2) (-.f64 1 (*.f64 -1 (/.f64 (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 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (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 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.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))))))) (neg.f64 (pow.f64 x 3))))) |
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(+.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 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (neg.f64 (pow.f64 x 3))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1)))))) |
(+.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 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 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 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (pow.f64 (cos.f64 eps) 2))) -1/2)))) (pow.f64 (neg.f64 x) 3)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) |
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(neg.f64 x) |
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(*.f64 -1 x) |
(neg.f64 x) |
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(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) |
(-.f64 (+.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)))))) x) |
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(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (*.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 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 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 (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)))) x) |
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(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.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) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) x)) |
(+.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 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 2))) x))) |
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(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 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 -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))))))))))))) x) |
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(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 2)))) (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (pow.f64 eps 3))) x))) |
(+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (*.f64 (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3))))) |
(+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) x)) (*.f64 (+.f64 1/6 (+.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 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3)))) |
(+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) x)) (*.f64 (+.f64 1/6 (+.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 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (pow.f64 (neg.f64 eps) 3))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) |
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 x)) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
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(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
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(-.f64 (tan.f64 (+.f64 eps x)) x) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x))) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 x eps))) |
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(-.f64 (tan.f64 (+.f64 eps x)) x) |
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(-.f64 (tan.f64 (+.f64 eps x)) x) |
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(-.f64 (tan.f64 (+.f64 eps x)) x) |
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(-.f64 (tan.f64 (+.f64 eps x)) x) |
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(+.f64 (*.f64 (tan.f64 (+.f64 eps x)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) 1/2) x)) |
(+.f64 (-.f64 1 x) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
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(+.f64 -2 (-.f64 2 (-.f64 x (tan.f64 (+.f64 eps x))))) |
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(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 x 2)) -2) |
(+.f64 -2 (-.f64 2 (-.f64 x (tan.f64 (+.f64 eps x))))) |
(+.f64 -2 (-.f64 (tan.f64 (+.f64 eps x)) (-.f64 x 2))) |
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1/2)) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -2) 1/2) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 4 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1/4)) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -4) 1/4) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 1/2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -2)) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 -1 (-.f64 x (tan.f64 (+.f64 x eps)))) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 -1 (*.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 1/2) 2)) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8) 1/8) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) -2) -1/2) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1/2) 2) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 -2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 1/2)) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 1/4 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -4)) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(*.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1/4) 4) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(/.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -2) 2) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(/.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -1) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(/.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) -4) 4) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8) 8) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) -2) -2) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8)) 16) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(/.f64 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 4) -4) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8))) 32) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(/.f64 (*.f64 2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 4)) -8) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8)))) 64) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (tan.f64 (+.f64 x eps))) 4))) -16) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 8))))) 128) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
(neg.f64 (-.f64 x (tan.f64 (+.f64 x eps)))) |
(+.f64 (neg.f64 x) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 1 (tan.f64 x)) |
| ✓ | 0.2b | (+.f64 (tan.f64 (+.f64 x eps)) -1) |
| ✓ | 1.7b | (+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
| 2.4b | (tan.f64 (+.f64 x eps)) |
Compiled 36 to 16 computations (55.6% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (tan.f64 (+.f64 x eps)) -1) |
| 0.0ms | eps | @ | 0 | (+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
| 0.0ms | eps | @ | 0 | (+.f64 (tan.f64 (+.f64 x eps)) -1) |
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
| 0.0ms | x | @ | inf | (+.f64 (tan.f64 (+.f64 x eps)) -1) |
| 1× | batch-egg-rewrite |
| 1984× | rational.json-simplify-1 |
| 1468× | exponential.json-3 |
| 1468× | rational.json-1 |
| 1468× | rational.json-2 |
| 1468× | rational.json-4 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 61 |
| 1 | 100 | 61 |
| 2 | 222 | 61 |
| 3 | 453 | 55 |
| 4 | 952 | 53 |
| 5 | 1945 | 53 |
| 6 | 3484 | 53 |
| 7 | 5209 | 53 |
| 8 | 6011 | 53 |
| 9 | 6264 | 53 |
| 10 | 6821 | 53 |
| 11 | 7416 | 53 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 (tan.f64 (+.f64 x eps)) -1) |
(-.f64 1 (tan.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 1 (tan.f64 x)) (tan.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.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)) (neg.f64 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (-.f64 1 (tan.f64 x)) 1/2) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (/.f64 (neg.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 2) (*.f64 (-.f64 1 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 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)) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (-.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (tan.f64 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (tan.f64 x)) 1/2) (*.f64 (-.f64 1 (tan.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (tan.f64 x) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (+.f64 (tan.f64 x) -1) 2)) (+.f64 -1 (*.f64 (-.f64 1 (tan.f64 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 (-.f64 1 (tan.f64 x)) 1/2)) (-.f64 1 (/.f64 (+.f64 (tan.f64 x) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (-.f64 1 (tan.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (tan.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (tan.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 1 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (tan.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (tan.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (tan.f64 x) -1) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (tan.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 (tan.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (tan.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (tan.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (tan.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (tan.f64 x) -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (tan.f64 x) -1) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (tan.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (tan.f64 x) -1) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (tan.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (tan.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (tan.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (tan.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (-.f64 (+.f64 (tan.f64 x) -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (-.f64 1 (tan.f64 x)))))))) |
| 1× | egg-herbie |
| 1836× | rational.json-simplify-35 |
| 1128× | rational.json-simplify-1 |
| 1004× | rational.json-simplify-2 |
| 670× | rational.json-simplify-52 |
| 532× | rational.json-simplify-41 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 290 | 5987 |
| 1 | 694 | 5753 |
| 2 | 1607 | 5573 |
| 3 | 3243 | 5451 |
| 4 | 4245 | 5451 |
| 5 | 5238 | 5451 |
| 6 | 5941 | 5451 |
| 7 | 6850 | 5451 |
| 8 | 7850 | 5451 |
| 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))) |
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(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1) |
1 |
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(/.f64 (neg.f64 (-.f64 1 (tan.f64 x))) -1) |
(pow.f64 (-.f64 1 (tan.f64 x)) 1) |
(neg.f64 (+.f64 (tan.f64 x) -1)) |
(neg.f64 (+.f64 -1 (-.f64 (+.f64 (tan.f64 x) -2) -2))) |
(neg.f64 (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 (pow.f64 (sin.f64 eps) 2) (/.f64 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 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1))))) |
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) |
(+.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 (pow.f64 x 2) (-.f64 1 (*.f64 -1 (/.f64 (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 (pow.f64 (sin.f64 eps) 2) (/.f64 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)))) -1/2) (+.f64 1/2 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 (pow.f64 x 3) -1)))) |
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (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 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (+.f64 1/2 (*.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))))))) (neg.f64 (pow.f64 x 3))))) |
(+.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 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (+.f64 1/2 (*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) -1/2) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (+.f64 1/2 (*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1))))) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1)))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2) (+.f64 1/2 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (neg.f64 (pow.f64 x 3)))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2) (+.f64 1/2 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (pow.f64 (neg.f64 x) 3))))) |
(-.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 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 eps (+.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 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 eps 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 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (neg.f64 (/.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) (cos.f64 x)) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 2)))) |
(+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) |
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.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 -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 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.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 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) |
(+.f64 (*.f64 (pow.f64 eps 3) (neg.f64 (+.f64 (*.f64 1/6 (/.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 (*.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)))) 1/6))))) (+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (neg.f64 (/.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 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 2))) (*.f64 (+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (pow.f64 eps 3))))) |
(+.f64 (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (pow.f64 eps 3)))) |
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.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 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) |
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1 |
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(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 0) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (+.f64 (-.f64 1 (tan.f64 x)) (tan.f64 (+.f64 x eps))) 1) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(*.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 1) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 1/2)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(*.f64 2 (+.f64 (*.f64 (-.f64 1 (tan.f64 x)) 1/2) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 1/2))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(*.f64 2 (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (/.f64 (neg.f64 (tan.f64 x)) 2))) |
(*.f64 2 (+.f64 (*.f64 1/2 (tan.f64 (+.f64 eps x))) (/.f64 (neg.f64 (tan.f64 x)) 2))) |
(*.f64 2 (+.f64 (*.f64 1/2 (tan.f64 (+.f64 eps x))) (/.f64 (tan.f64 x) -2))) |
(*.f64 4 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 4)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(*.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 2) 1/2) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(*.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 4) 1/4) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(*.f64 1/2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 2)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(*.f64 1/2 (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) -2))) |
(*.f64 1/2 (+.f64 (*.f64 2 (tan.f64 (+.f64 eps x))) (*.f64 (tan.f64 x) -2))) |
(*.f64 1/2 (+.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 2) (*.f64 (-.f64 1 (tan.f64 x)) 2))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(*.f64 1/4 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 4)) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(*.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 1/2) 2) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(*.f64 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 4) 4) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 1) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 2) 2) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 4) 4) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 8) 8) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 8)) 16) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 8))) 32) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 8)))) 64) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 1) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 (+.f64 x eps)) 1) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 0) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 1) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 1/2)) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 4 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 4)) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 2) 1/2) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 4) 1/4) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 1/2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 2)) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 1/4 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 4)) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 1/2) 2) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(*.f64 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 4) 4) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 1) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 2) 2) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 4) 4) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 8) 8) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 8)) 16) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 8))) 32) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 8)))) 64) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) -1) 1) |
(+.f64 -1 (tan.f64 (+.f64 eps x))) |
(+.f64 (-.f64 1 (tan.f64 x)) 0) |
(-.f64 1 (tan.f64 x)) |
(+.f64 -1 (neg.f64 (+.f64 (tan.f64 x) -2))) |
(-.f64 1 (tan.f64 x)) |
(+.f64 -1 (-.f64 1 (neg.f64 (-.f64 1 (tan.f64 x))))) |
(-.f64 1 (tan.f64 x)) |
(+.f64 0 (-.f64 1 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(+.f64 (neg.f64 (+.f64 (tan.f64 x) -2)) -1) |
(-.f64 1 (tan.f64 x)) |
(+.f64 -2 (-.f64 1 (+.f64 (tan.f64 x) -2))) |
(-.f64 1 (tan.f64 x)) |
(+.f64 (*.f64 (-.f64 1 (tan.f64 x)) 1/2) (*.f64 (-.f64 1 (tan.f64 x)) 1/2)) |
(-.f64 1 (tan.f64 x)) |
(+.f64 (-.f64 1 (+.f64 (tan.f64 x) -2)) -2) |
(-.f64 1 (tan.f64 x)) |
(+.f64 (-.f64 1 (/.f64 (+.f64 (tan.f64 x) -1) 2)) (+.f64 -1 (*.f64 (-.f64 1 (tan.f64 x)) 1/2))) |
(-.f64 1 (tan.f64 x)) |
(+.f64 (+.f64 -1 (*.f64 (-.f64 1 (tan.f64 x)) 1/2)) (-.f64 1 (/.f64 (+.f64 (tan.f64 x) -1) 2))) |
(-.f64 1 (tan.f64 x)) |
(+.f64 (-.f64 1 (neg.f64 (-.f64 1 (tan.f64 x)))) -1) |
(-.f64 1 (tan.f64 x)) |
(*.f64 1 (-.f64 1 (tan.f64 x))) |
(-.f64 1 (tan.f64 x)) |
(*.f64 (-.f64 1 (tan.f64 x)) 1) |
(-.f64 1 (tan.f64 x)) |
(*.f64 -1 (+.f64 (tan.f64 x) -1)) |
(-.f64 1 (tan.f64 x)) |
(*.f64 2 (*.f64 (-.f64 1 (tan.f64 x)) 1/2)) |
(-.f64 1 (tan.f64 x)) |
(*.f64 4 (/.f64 (-.f64 1 (tan.f64 x)) 4)) |
(-.f64 1 (tan.f64 x)) |
(*.f64 (*.f64 (-.f64 1 (tan.f64 x)) 2) 1/2) |
(-.f64 1 (tan.f64 x)) |
(*.f64 (+.f64 (tan.f64 x) -1) -1) |
(-.f64 1 (tan.f64 x)) |
(*.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4) 1/4) |
(-.f64 1 (tan.f64 x)) |
(*.f64 1/2 (*.f64 (-.f64 1 (tan.f64 x)) 2)) |
(-.f64 1 (tan.f64 x)) |
(*.f64 (*.f64 (-.f64 1 (tan.f64 x)) 1/2) 2) |
(-.f64 1 (tan.f64 x)) |
(*.f64 1/4 (*.f64 (-.f64 1 (tan.f64 x)) 4)) |
(-.f64 1 (tan.f64 x)) |
(*.f64 (/.f64 (+.f64 (tan.f64 x) -1) 2) -2) |
(-.f64 1 (tan.f64 x)) |
(*.f64 (/.f64 (-.f64 1 (tan.f64 x)) 4) 4) |
(-.f64 1 (tan.f64 x)) |
(*.f64 (neg.f64 (-.f64 1 (tan.f64 x))) -1) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (-.f64 1 (tan.f64 x)) 1) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (*.f64 (-.f64 1 (tan.f64 x)) 2) 2) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (+.f64 (tan.f64 x) -1) -1) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (*.f64 (-.f64 1 (tan.f64 x)) 4) 4) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (*.f64 (-.f64 1 (tan.f64 x)) 8) 8) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (*.f64 2 (+.f64 (tan.f64 x) -1)) -2) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (*.f64 (+.f64 (tan.f64 x) -1) 4) -4) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (tan.f64 x)) 8)) 16) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (tan.f64 x) -1) 4)) -8) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (tan.f64 x)) 8))) 32) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (tan.f64 x)) 8)))) 64) |
(-.f64 1 (tan.f64 x)) |
(/.f64 (neg.f64 (-.f64 1 (tan.f64 x))) -1) |
(-.f64 1 (tan.f64 x)) |
(pow.f64 (-.f64 1 (tan.f64 x)) 1) |
(-.f64 1 (tan.f64 x)) |
(neg.f64 (+.f64 (tan.f64 x) -1)) |
(-.f64 1 (tan.f64 x)) |
(neg.f64 (+.f64 -1 (-.f64 (+.f64 (tan.f64 x) -2) -2))) |
(-.f64 1 (tan.f64 x)) |
(neg.f64 (neg.f64 (-.f64 1 (tan.f64 x)))) |
(-.f64 1 (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))) |
| ✓ | 1.7b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| ✓ | 2.4b | (sin.f64 (+.f64 eps x)) |
| ✓ | 2.4b | (cos.f64 (+.f64 eps x)) |
Compiled 48 to 10 computations (79.2% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (sin.f64 (+.f64 eps x)) |
| 0.0ms | 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 | (cos.f64 (+.f64 eps x)) |
| 0.0ms | eps | @ | 0 | (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
| 1× | batch-egg-rewrite |
| 882× | rational.json-simplify-35 |
| 794× | rational.json-simplify-61 |
| 638× | rational.json-simplify-46 |
| 614× | exponential.json-3 |
| 614× | rational.json-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 96 |
| 1 | 97 | 96 |
| 2 | 269 | 96 |
| 3 | 714 | 96 |
| 4 | 1958 | 96 |
| 5 | 5991 | 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 |
|---|
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(+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (cos.f64 (+.f64 eps x)))) (*.f64 1/2 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2) (*.f64 (sin.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8)) (*.f64 (sin.f64 (+.f64 eps x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (sin.f64 (neg.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2)) (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8)) (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8))) (*.f64 (sin.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x))))))))) |
| 1× | egg-herbie |
| 1514× | rational.json-simplify-35 |
| 1402× | rational.json-simplify-53 |
| 1266× | rational.json-simplify-2 |
| 946× | rational.json-simplify-1 |
| 582× | exponential.json-simplify-26 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 8355 |
| 1 | 964 | 8093 |
| 2 | 2624 | 7631 |
| 3 | 4861 | 7533 |
| 4 | 7393 | 7533 |
| 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))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.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 (*.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 (*.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 (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 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 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 (*.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 (cos.f64 (+.f64 eps x)) 0) |
(+.f64 0 (cos.f64 (+.f64 eps x))) |
(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 eps x))))) |
(+.f64 (/.f64 (cos.f64 (+.f64 eps x)) 2) (/.f64 (cos.f64 (+.f64 eps x)) 2)) |
(-.f64 (cos.f64 (+.f64 eps x)) 0) |
(-.f64 0 (neg.f64 (cos.f64 (+.f64 eps x)))) |
(*.f64 (cos.f64 (+.f64 eps x)) 1) |
(*.f64 1 (cos.f64 (+.f64 eps x))) |
(*.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2) 1/2) |
(*.f64 -1 (neg.f64 (cos.f64 (+.f64 eps x)))) |
(*.f64 2 (/.f64 (cos.f64 (+.f64 eps x)) 2)) |
(*.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) 2) 1)) |
(*.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 1/2)) |
(*.f64 (*.f64 (cos.f64 (+.f64 eps x)) 4) 1/4) |
(*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) -1) |
(*.f64 1/2 (*.f64 (cos.f64 (+.f64 eps x)) 2)) |
(*.f64 1/4 (*.f64 (cos.f64 (+.f64 eps x)) 4)) |
(*.f64 (/.f64 (cos.f64 (+.f64 eps x)) 2) 2) |
(/.f64 (cos.f64 (+.f64 eps x)) 1) |
(/.f64 1 (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2) 2) |
(/.f64 -1 (/.f64 -1 (cos.f64 (+.f64 eps x)))) |
(/.f64 2 (*.f64 2 (/.f64 1 (cos.f64 (+.f64 eps x))))) |
(/.f64 2 (/.f64 2 (cos.f64 (+.f64 eps x)))) |
(/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 4) 4) |
(/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) -1) |
(/.f64 (*.f64 (cos.f64 (+.f64 eps x)) 8) 8) |
(/.f64 (*.f64 (cos.f64 (+.f64 eps x)) -2) -2) |
(/.f64 1/2 (/.f64 1/2 (cos.f64 (+.f64 eps x)))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) 2)) -2) |
(/.f64 (*.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8)) 16) |
(pow.f64 (cos.f64 (+.f64 eps x)) 1) |
(neg.f64 (neg.f64 (cos.f64 (+.f64 eps x)))) |
(+.f64 (sin.f64 (+.f64 eps x)) 0) |
(+.f64 0 (sin.f64 (+.f64 eps x))) |
(+.f64 -1 (-.f64 (sin.f64 (+.f64 eps x)) -1)) |
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 (sin.f64 (+.f64 eps x)) 2)) |
(-.f64 (sin.f64 (+.f64 eps x)) 0) |
(-.f64 0 (sin.f64 (neg.f64 (+.f64 eps x)))) |
(*.f64 (sin.f64 (+.f64 eps x)) 1) |
(*.f64 1 (sin.f64 (+.f64 eps x))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) 1/2) |
(*.f64 -1 (sin.f64 (neg.f64 (+.f64 eps x)))) |
(*.f64 2 (/.f64 (sin.f64 (+.f64 eps x)) 2)) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) 1)) |
(*.f64 2 (*.f64 (sin.f64 (+.f64 eps x)) 1/2)) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) 1/4) |
(*.f64 (sin.f64 (neg.f64 (+.f64 eps x))) -1) |
(*.f64 1/2 (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) 2) |
(*.f64 1/4 (*.f64 (sin.f64 (+.f64 eps x)) 4)) |
(/.f64 (sin.f64 (+.f64 eps x)) 1) |
(/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) 2) |
(/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) 4) |
(/.f64 (sin.f64 (neg.f64 (+.f64 eps x))) -1) |
(/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 8) 8) |
(/.f64 (*.f64 (sin.f64 (+.f64 eps x)) -2) -2) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 (+.f64 eps x)) 8)) 16) |
(pow.f64 (sin.f64 (+.f64 eps x)) 1) |
(neg.f64 (sin.f64 (neg.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(+.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 0) |
(+.f64 0 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 -1 (+.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (+.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) -1) |
(+.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(+.f64 (/.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))) 2)) |
(+.f64 (-.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x)))))) |
(*.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 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) |
(*.f64 -1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))) |
(*.f64 2 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) |
(*.f64 2 (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) 1)) |
(*.f64 2 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)))) |
(*.f64 2 (-.f64 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) 1) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)))) |
(*.f64 2 (-.f64 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)))) |
(*.f64 2 (-.f64 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/2) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)))) |
(*.f64 2 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1/2 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)))) |
(*.f64 2 (-.f64 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)))) |
(*.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 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) -1) |
(*.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 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) 2) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 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 (/.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))) 4) 4) |
(/.f64 (*.f64 2 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))) -2) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 4)) 8) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 4))) 16) |
(/.f64 (+.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))) |
(/.f64 (+.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))) (*.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))))) |
(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 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 0) |
(+.f64 0 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
(+.f64 -1 (-.f64 1 (/.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)) (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 0) |
(-.f64 0 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x))))) |
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (cos.f64 (+.f64 eps x)))) |
(*.f64 (sin.f64 (+.f64 eps x)) (*.f64 (*.f64 2 (/.f64 1 (cos.f64 (+.f64 eps x)))) 1/2)) |
(*.f64 (sin.f64 (+.f64 eps x)) (*.f64 (/.f64 2 (cos.f64 (+.f64 eps x))) 1/2)) |
(*.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 (sin.f64 (+.f64 eps x)) 2) (/.f64 1/2 (cos.f64 (+.f64 eps x)))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2)) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2) 1)) |
(*.f64 -1 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x))))) |
(*.f64 2 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2))) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) 1)) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1 (cos.f64 (+.f64 eps x))))) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/2)) |
(*.f64 2 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1/2 (cos.f64 (+.f64 eps x))))) |
(*.f64 2 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)))) |
(*.f64 2 (*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2) (sin.f64 (+.f64 eps x)))) |
(*.f64 2 (*.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8)) (*.f64 (sin.f64 (+.f64 eps x)) 2))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 2 (cos.f64 (+.f64 eps x)))) 1/2) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (*.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8)) 1)) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (*.f64 1/4 (/.f64 1 (cos.f64 (+.f64 eps x))))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 (+.f64 eps x))))) |
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x))) |
(*.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (/.f64 -1 (cos.f64 (+.f64 eps x)))) |
(*.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (*.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) 1)) |
(*.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (*.f64 -1 (/.f64 1 (cos.f64 (+.f64 eps x))))) |
(*.f64 4 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1/2 (cos.f64 (+.f64 eps x))))) |
(*.f64 4 (*.f64 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) 1) (/.f64 1/2 (cos.f64 (+.f64 eps x))))) |
(*.f64 4 (*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 1/2) (/.f64 1/2 (cos.f64 (+.f64 eps x))))) |
(*.f64 -2 (*.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (/.f64 1/2 (cos.f64 (+.f64 eps x))))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 8) (*.f64 1/4 (/.f64 1/2 (cos.f64 (+.f64 eps x))))) |
(*.f64 1/2 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 2 (cos.f64 (+.f64 eps x))))) |
(*.f64 (/.f64 1/2 (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) -2) (*.f64 -1 (/.f64 1/2 (cos.f64 (+.f64 eps x))))) |
(*.f64 (*.f64 2 (/.f64 1 (cos.f64 (+.f64 eps x)))) (*.f64 1/2 (sin.f64 (+.f64 eps x)))) |
(*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x)))) -1) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) 2) |
(*.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8)) (*.f64 (sin.f64 (+.f64 eps x)) 4)) |
(*.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (sin.f64 (neg.f64 (+.f64 eps x)))) |
(*.f64 (+.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2)) (sin.f64 (+.f64 eps x))) |
(*.f64 (+.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8)) (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8))) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) |
(neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x))))) |
| Outputs |
|---|
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x)))) |
(+.f64 (cos.f64 x) (*.f64 eps (sin.f64 (neg.f64 x)))) |
(+.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 (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2))) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 (neg.f64 x))))) |
(+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2)))) |
(+.f64 (cos.f64 x) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))) |
(+.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 (cos.f64 x) (+.f64 (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))) |
(+.f64 (cos.f64 x) (+.f64 (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))) (*.f64 (sin.f64 x) (*.f64 (pow.f64 eps 3) 1/6)))) |
(+.f64 (cos.f64 x) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (*.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 x (*.f64 (sin.f64 eps) -1))) |
(+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) |
(+.f64 (cos.f64 eps) (*.f64 x (neg.f64 (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 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1)))) |
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x 2) (*.f64 -1/2 (cos.f64 eps))))) |
(+.f64 (cos.f64 eps) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))) |
(+.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 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1))))) |
(+.f64 (*.f64 (pow.f64 x 2) (*.f64 -1/2 (cos.f64 eps))) (+.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x))) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6)))) |
(+.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)))) (+.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (*.f64 -1/2 (pow.f64 x 2))))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (neg.f64 eps))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (neg.f64 eps))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(cos.f64 (-.f64 x (neg.f64 eps))) |
(cos.f64 (-.f64 eps (*.f64 -1 x))) |
(cos.f64 (-.f64 x (*.f64 -1 eps))) |
(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 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2))) (*.f64 (cos.f64 x) eps))) |
(+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 eps 2) -1/2)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps))) |
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))))) |
(+.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 (sin.f64 x) (+.f64 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (pow.f64 eps 2))) (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/6))) (*.f64 (cos.f64 x) eps))) |
(+.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 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) -1/6)) (*.f64 (cos.f64 x) eps)))) |
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) -1/6))))) |
(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)) |
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(+.f64 (+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 (pow.f64 x 3) -1/6) x))) |
(+.f64 (+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (*.f64 -1/2 (pow.f64 x 2)))) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))) |
(sin.f64 (-.f64 eps (*.f64 -1 x))) |
(sin.f64 (-.f64 x (*.f64 -1 eps))) |
(sin.f64 (-.f64 x (neg.f64 eps))) |
(sin.f64 (-.f64 eps (*.f64 -1 x))) |
(sin.f64 (-.f64 x (*.f64 -1 eps))) |
(sin.f64 (-.f64 x (neg.f64 eps))) |
(sin.f64 (-.f64 eps (*.f64 -1 x))) |
(sin.f64 (-.f64 x (*.f64 -1 eps))) |
(sin.f64 (-.f64 x (neg.f64 eps))) |
(sin.f64 (-.f64 eps (*.f64 -1 x))) |
(sin.f64 (-.f64 x (*.f64 -1 eps))) |
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(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
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(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
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(+.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) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) |
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(+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))))) |
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(+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))) (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3))))) |
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(+.f64 (*.f64 eps (+.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 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))) (*.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (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 (*.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))))))))))))) |
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(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 0) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(-.f64 0 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (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 (sin.f64 (+.f64 eps x)) (*.f64 (*.f64 2 (/.f64 1 (cos.f64 (+.f64 eps x)))) 1/2)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (sin.f64 (+.f64 eps x)) (*.f64 (/.f64 2 (cos.f64 (+.f64 eps x))) 1/2)) |
(/.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 (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)) 2) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2) 1)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 -1 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 2 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) 2)) 1)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1 (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 2 (*.f64 (/.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 2 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1/2 (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 2 (*.f64 (/.f64 1/2 (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 2 (*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2) (sin.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 2 (*.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8)) (*.f64 (sin.f64 (+.f64 eps x)) 2))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 2 (cos.f64 (+.f64 eps x)))) 1/2) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (*.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8)) 1)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (*.f64 1/4 (/.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)) 4) (*.f64 1/2 (/.f64 1/2 (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 (sin.f64 (neg.f64 (+.f64 eps x))) (/.f64 -1 (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (*.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) 1)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (sin.f64 (neg.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 4 (*.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 4 (*.f64 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) 1) (/.f64 1/2 (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 4 (*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 1/2) (/.f64 1/2 (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 -2 (*.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (/.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)) 8) (*.f64 1/4 (/.f64 1/2 (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 1/2 (*.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 (/.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 (sin.f64 (+.f64 eps x)) -2) (*.f64 -1 (/.f64 1/2 (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 2 (/.f64 1 (cos.f64 (+.f64 eps x)))) (*.f64 1/2 (sin.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x)))) -1) |
(/.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)) 2) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8)) (*.f64 (sin.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 (neg.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (+.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 1/2)) (sin.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
(*.f64 (+.f64 (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8)) (/.f64 2 (*.f64 (cos.f64 (+.f64 eps x)) 8))) (*.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))) |
(neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) | |
| 0.3b | (pow.f64 (cos.f64 x) 2) | |
| 0.3b | (pow.f64 (sin.f64 x) 2) | |
| ✓ | 8.2b | (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
Compiled 99 to 51 computations (48.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
| 0.0ms | eps | @ | 0 | (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 1784× | rational.json-1 |
| 1784× | rational.json-2 |
| 1784× | rational.json-4 |
| 1784× | rational.json-3 |
| 1768× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 69 |
| 1 | 130 | 69 |
| 2 | 318 | 69 |
| 3 | 784 | 69 |
| 4 | 2104 | 69 |
| 5 | 5765 | 69 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (-.f64 (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (-.f64 (tan.f64 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4)) (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))))))) |
| 1× | egg-herbie |
| 1442× | rational.json-simplify-35 |
| 1126× | rational.json-simplify-2 |
| 914× | rational.json-simplify-1 |
| 838× | rational.json-simplify-26 |
| 760× | rational.json-simplify-42 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 2773 |
| 1 | 171 | 2767 |
| 2 | 322 | 2761 |
| 3 | 665 | 2755 |
| 4 | 1749 | 2755 |
| 5 | 2753 | 2755 |
| 6 | 3395 | 2755 |
| 7 | 3967 | 2755 |
| 8 | 5399 | 2755 |
| 9 | 6437 | 2755 |
| 1× | node limit |
| Inputs |
|---|
eps |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 17/45 (*.f64 eps (pow.f64 x 6)))))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) |
(+.f64 -1 (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (-.f64 (tan.f64 x) 1))) |
(+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) |
(+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (neg.f64 (tan.f64 x))) |
(+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 0) |
(+.f64 0 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))) |
(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) |
(+.f64 (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) |
(+.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (-.f64 (tan.f64 x) 1)) -1) |
(*.f64 2 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 2)) |
(*.f64 -1 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))) |
(*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 1) |
(*.f64 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))) |
(*.f64 (*.f64 2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))) 1/2) |
(*.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) -1) |
(*.f64 1/2 (*.f64 2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))))) |
(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 2) 2) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 1) |
(/.f64 (*.f64 2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))) 2) |
(/.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) -1) |
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4)) 8) |
(/.f64 (*.f64 2 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))) -2) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4)) (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4))) 16) |
(pow.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 1) |
(neg.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))) |
| Outputs |
|---|
eps |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 eps (*.f64 eps (pow.f64 x 2))) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 eps (*.f64 (pow.f64 x 4) 2/3)))) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))))) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 17/45 (*.f64 eps (pow.f64 x 6)))))) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (*.f64 eps (*.f64 (pow.f64 x 4) 2/3)) (*.f64 17/45 (*.f64 eps (pow.f64 x 6)))))) |
(+.f64 (*.f64 eps (*.f64 2/3 (pow.f64 x 4))) (+.f64 (+.f64 eps (*.f64 (pow.f64 x 6) (*.f64 17/45 eps))) (*.f64 eps (pow.f64 x 2)))) |
(+.f64 (+.f64 eps (*.f64 (pow.f64 x 6) (*.f64 eps 17/45))) (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))))) |
(+.f64 eps (*.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6))))) |
(+.f64 eps (*.f64 eps (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4)))))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(+.f64 -1 (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (-.f64 (tan.f64 x) 1))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (neg.f64 (tan.f64 x))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 0) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(+.f64 0 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(+.f64 (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(+.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (-.f64 (tan.f64 x) 1)) -1) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(*.f64 2 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 2)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(*.f64 -1 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 1) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(*.f64 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(*.f64 (*.f64 2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))) 1/2) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(*.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) -1) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(*.f64 1/2 (*.f64 2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 2) 2) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 1) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(/.f64 (*.f64 2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))) 2) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(/.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) -1) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4) 4) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4)) 8) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(/.f64 (*.f64 2 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))) -2) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4)) (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4))) 16) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(pow.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 1) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
(neg.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x))) |
Compiled 30832 to 17158 computations (44.4% saved)
44 alts after pruning (39 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1011 | 31 | 1042 |
| Fresh | 7 | 8 | 15 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 1019 | 44 | 1063 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.1b | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
| 39.1b | (-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| ▶ | 48.6b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 36.7b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| ▶ | 49.3b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 36.9b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 60.5b | (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 61.2b | (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) | |
| 38.5b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 38.3b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) | |
| ✓ | 50.7b | (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
| 39.3b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) (tan.f64 x)) | |
| 39.4b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) x) | |
| 38.9b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) x) | |
| 38.8b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) x)) (tan.f64 x)) | |
| ✓ | 37.5b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| ✓ | 39.1b | (-.f64 (tan.f64 (+.f64 x eps)) x) |
| 32.1b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) | |
| 33.5b | (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 x 3) (neg.f64 (+.f64 1/2 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (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 x (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) | |
| 47.5b | (+.f64 (-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (tan.f64 (+.f64 x eps)) -1)) | |
| 61.2b | (+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)) | |
| ▶ | 46.8b | (+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
| ✓ | 47.5b | (+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
| 47.6b | (+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2) | |
| 30.8b | (+.f64 (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (pow.f64 eps 3)))) | |
| 37.5b | (+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x))) | |
| 46.4b | (+.f64 (*.f64 eps (pow.f64 x 2)) eps) | |
| 30.8b | (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))))) | |
| 46.6b | (+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3)))) | |
| 46.7b | (+.f64 eps (*.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6))))) | |
| 47.7b | (+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) | |
| ✓ | 30.5b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
| 43.4b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (pow.f64 x 2))) -1)) | |
| 43.1b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1)) | |
| 37.9b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 2))) -1)) | |
| 46.4b | (*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) | |
| 37.9b | (*.f64 eps (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) -1)) | |
| 30.5b | (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) | |
| 30.5b | (*.f64 eps (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) -1)) | |
| 38.1b | (*.f64 eps (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))) -1)) | |
| 38.1b | (*.f64 eps (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2))) -1)) | |
| 30.5b | (*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) | |
| ▶ | 61.7b | (neg.f64 x) |
| 43.6b | eps |
Compiled 1964 to 1357 computations (30.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
Compiled 12 to 5 computations (58.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | -inf | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
| 0.0ms | eps | @ | inf | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
| 0.0ms | eps | @ | 0 | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
| 1× | batch-egg-rewrite |
| 1390× | rational.json-1 |
| 1390× | rational.json-2 |
| 1390× | rational.json-4 |
| 1390× | rational.json-3 |
| 1382× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 53 | 15 |
| 2 | 158 | 15 |
| 3 | 399 | 15 |
| 4 | 1045 | 15 |
| 5 | 3819 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 eps) 1/2) (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) 1/2) (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 0 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (*.f64 1/2 (*.f64 2 (/.f64 1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (*.f64 1/2 (/.f64 2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.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 -1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (sin.f64 eps) 2) (neg.f64 (*.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sin.f64 eps) 1/2) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 4) (/.f64 2 (*.f64 (cos.f64 eps) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 4) (*.f64 (/.f64 1 (cos.f64 eps)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 4) (*.f64 1/2 (/.f64 1/2 (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 1 (/.f64 1 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 2 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 1 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 1/2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (sin.f64 eps) (cos.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 (sin.f64 eps) 8) (/.f64 1 (*.f64 (cos.f64 eps) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (cos.f64 eps) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (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 (sin.f64 eps) -2) (/.f64 1/2 (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) -2) (/.f64 1 (*.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (cos.f64 eps))) (*.f64 (sin.f64 eps) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 eps) 1/2) (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps))) (/.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 eps)) (/.f64 (*.f64 (cos.f64 eps) 2) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cos.f64 eps)) (*.f64 (sin.f64 eps) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (cos.f64 eps) 8)) (*.f64 (sin.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 eps)) (neg.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 eps)) (/.f64 (neg.f64 (cos.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 1/2) (*.f64 2 (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 1/2) (/.f64 2 (cos.f64 eps)))))) (#(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 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 1/4) (*.f64 (sin.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 (cos.f64 eps)))) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 2 (cos.f64 eps))) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 eps) 2) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 1/2 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 eps) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (cos.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 eps) 2) (neg.f64 (*.f64 (cos.f64 eps) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 (cos.f64 eps))) (*.f64 (sin.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (cos.f64 eps))) (*.f64 (sin.f64 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 eps) (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (/.f64 2 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 eps) 8)) (*.f64 (sin.f64 eps) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 eps) -2)) (*.f64 (sin.f64 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 (cos.f64 eps) 2))) (*.f64 (sin.f64 eps) -2))))) (#(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)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 eps) 2) (neg.f64 (*.f64 (cos.f64 eps) 2)))))))) |
| 1× | egg-herbie |
| 1082× | rational.json-simplify-2 |
| 1060× | rational.json-simplify-39 |
| 980× | rational.json-simplify-55 |
| 714× | rational.json-simplify-51 |
| 694× | rational.json-simplify-53 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 1288 |
| 1 | 350 | 1276 |
| 2 | 890 | 1276 |
| 3 | 3455 | 1276 |
| 4 | 7127 | 1276 |
| 1× | node limit |
| Inputs |
|---|
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 (sin.f64 eps) (cos.f64 eps)) 0) |
(+.f64 0 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) 1/2) (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) 1/2) (cos.f64 eps))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) |
(-.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) |
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))) |
(*.f64 (sin.f64 eps) (*.f64 1/2 (*.f64 2 (/.f64 1 (cos.f64 eps))))) |
(*.f64 (sin.f64 eps) (*.f64 1/2 (/.f64 2 (cos.f64 eps)))) |
(*.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.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 -1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) 2) (neg.f64 (*.f64 (cos.f64 eps) 2)))) |
(*.f64 2 (/.f64 (*.f64 (sin.f64 eps) 1/2) (cos.f64 eps))) |
(*.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) 1/2) |
(*.f64 (*.f64 (sin.f64 eps) 4) (/.f64 2 (*.f64 (cos.f64 eps) 8))) |
(*.f64 (*.f64 (sin.f64 eps) 4) (*.f64 (/.f64 1 (cos.f64 eps)) 1/4)) |
(*.f64 (*.f64 (sin.f64 eps) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 eps)))) |
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
(*.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (/.f64 1 (sin.f64 eps)))) |
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 eps))) |
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 2 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))) |
(*.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 1 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))) |
(*.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 1/2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(*.f64 4 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4))) |
(*.f64 4 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4)) |
(*.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) 1/4) |
(*.f64 (*.f64 (sin.f64 eps) 8) (/.f64 1 (*.f64 (cos.f64 eps) 8))) |
(*.f64 1/2 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps)))) |
(*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (cos.f64 eps) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(*.f64 (/.f64 1/2 (cos.f64 eps)) (*.f64 (sin.f64 eps) 2)) |
(*.f64 (*.f64 (sin.f64 eps) -2) (/.f64 1/2 (neg.f64 (cos.f64 eps)))) |
(*.f64 (*.f64 (sin.f64 eps) -2) (/.f64 1 (*.f64 (cos.f64 eps) -2))) |
(*.f64 (*.f64 (sin.f64 eps) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 eps) 2)))) |
(*.f64 (*.f64 2 (/.f64 1 (cos.f64 eps))) (*.f64 (sin.f64 eps) 1/2)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -1) |
(*.f64 (/.f64 (*.f64 (sin.f64 eps) 1/2) (cos.f64 eps)) 2) |
(*.f64 (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps))) (/.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(*.f64 (/.f64 1/2 (sin.f64 eps)) (/.f64 (*.f64 (cos.f64 eps) 2) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(*.f64 (/.f64 2 (cos.f64 eps)) (*.f64 (sin.f64 eps) 1/2)) |
(*.f64 (/.f64 2 (*.f64 (cos.f64 eps) 8)) (*.f64 (sin.f64 eps) 4)) |
(*.f64 (/.f64 -1 (cos.f64 eps)) (neg.f64 (sin.f64 eps))) |
(*.f64 (/.f64 -1 (sin.f64 eps)) (/.f64 (neg.f64 (cos.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(*.f64 (*.f64 (sin.f64 eps) 1/2) (*.f64 2 (/.f64 1 (cos.f64 eps)))) |
(*.f64 (*.f64 (sin.f64 eps) 1/2) (/.f64 2 (cos.f64 eps))) |
(*.f64 1/4 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4)) |
(*.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))) |
(*.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 1/4) (*.f64 (sin.f64 eps) 4)) |
(*.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 (cos.f64 eps)))) (sin.f64 eps)) |
(*.f64 (*.f64 1/2 (/.f64 2 (cos.f64 eps))) (sin.f64 eps)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(*.f64 (/.f64 (*.f64 (cos.f64 eps) 2) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 1/2 (sin.f64 eps))) |
(*.f64 (/.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps)))) |
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (/.f64 1 (cos.f64 eps))) |
(*.f64 (/.f64 (cos.f64 eps) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 1 (sin.f64 eps))) |
(*.f64 (/.f64 (neg.f64 (cos.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 -1 (sin.f64 eps))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (cos.f64 eps)) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) |
(*.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(*.f64 (/.f64 (*.f64 (sin.f64 eps) 2) (neg.f64 (*.f64 (cos.f64 eps) 2))) -1) |
(*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) 4) |
(*.f64 (*.f64 1/2 (/.f64 1/2 (cos.f64 eps))) (*.f64 (sin.f64 eps) 4)) |
(*.f64 (/.f64 1/2 (neg.f64 (cos.f64 eps))) (*.f64 (sin.f64 eps) -2)) |
(*.f64 (/.f64 1/2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) |
(*.f64 (/.f64 (cos.f64 eps) (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (/.f64 2 (sin.f64 eps))) |
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) 4) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 eps) 8)) (*.f64 (sin.f64 eps) 8)) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 eps) -2)) (*.f64 (sin.f64 eps) -2)) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 (cos.f64 eps) 2))) (*.f64 (sin.f64 eps) -2)) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) |
(neg.f64 (/.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 eps) 2) (neg.f64 (*.f64 (cos.f64 eps) 2)))) |
| Outputs |
|---|
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 eps (+.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 2/15 (pow.f64 eps 5)) (+.f64 eps (*.f64 17/315 (pow.f64 eps 7))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 0 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) 1/2) (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) 1/2) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (sin.f64 eps) (*.f64 1/2 (*.f64 2 (/.f64 1 (cos.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (sin.f64 eps) (*.f64 1/2 (/.f64 2 (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.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 -1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) 2) (neg.f64 (*.f64 (cos.f64 eps) 2)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 2 (/.f64 (*.f64 (sin.f64 eps) 1/2) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) 1/2) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (sin.f64 eps) 4) (/.f64 2 (*.f64 (cos.f64 eps) 8))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (sin.f64 eps) 4) (*.f64 (/.f64 1 (cos.f64 eps)) 1/4)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (sin.f64 eps) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 eps)))) |
(/.f64 (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 1 (/.f64 1 (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 2 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 1 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 1/2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 4 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 4 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4)) |
(/.f64 (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 (sin.f64 eps) 8) (/.f64 1 (*.f64 (cos.f64 eps) 8))) |
(*.f64 (sin.f64 eps) (*.f64 8 (/.f64 1 (*.f64 (cos.f64 eps) 8)))) |
(*.f64 (*.f64 (sin.f64 eps) 8) (/.f64 1/8 (cos.f64 eps))) |
(*.f64 8 (*.f64 (sin.f64 eps) (/.f64 1/8 (cos.f64 eps)))) |
(*.f64 (/.f64 1/8 (cos.f64 eps)) (*.f64 (sin.f64 eps) 8)) |
(*.f64 1/2 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (cos.f64 eps) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (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 (sin.f64 eps) -2) (/.f64 1/2 (neg.f64 (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (sin.f64 eps) -2) (/.f64 1 (*.f64 (cos.f64 eps) -2))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (sin.f64 eps) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 eps) 2)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 2 (/.f64 1 (cos.f64 eps))) (*.f64 (sin.f64 eps) 1/2)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -1) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (*.f64 (sin.f64 eps) 1/2) (cos.f64 eps)) 2) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps))) (/.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1/2 (sin.f64 eps)) (/.f64 (*.f64 (cos.f64 eps) 2) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 2 (cos.f64 eps)) (*.f64 (sin.f64 eps) 1/2)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 2 (*.f64 (cos.f64 eps) 8)) (*.f64 (sin.f64 eps) 4)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 -1 (cos.f64 eps)) (neg.f64 (sin.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 -1 (sin.f64 eps)) (/.f64 (neg.f64 (cos.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (sin.f64 eps) 1/2) (*.f64 2 (/.f64 1 (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (sin.f64 eps) 1/2) (/.f64 2 (cos.f64 eps))) |
(/.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 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 1/4) (*.f64 (sin.f64 eps) 4)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 (cos.f64 eps)))) (sin.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 1/2 (/.f64 2 (cos.f64 eps))) (sin.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (*.f64 (cos.f64 eps) 2) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 1/2 (sin.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (/.f64 1 (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (cos.f64 eps) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 1 (sin.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (neg.f64 (cos.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 -1 (sin.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (*.f64 (sin.f64 eps) 2) (neg.f64 (*.f64 (cos.f64 eps) 2))) -1) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) 4) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (*.f64 1/2 (/.f64 1/2 (cos.f64 eps))) (*.f64 (sin.f64 eps) 4)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1/2 (neg.f64 (cos.f64 eps))) (*.f64 (sin.f64 eps) -2)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1/2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (cos.f64 eps) (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (/.f64 2 (sin.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) 4) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 eps) 8)) (*.f64 (sin.f64 eps) 8)) |
(*.f64 (sin.f64 eps) (*.f64 8 (/.f64 1 (*.f64 (cos.f64 eps) 8)))) |
(*.f64 (*.f64 (sin.f64 eps) 8) (/.f64 1/8 (cos.f64 eps))) |
(*.f64 8 (*.f64 (sin.f64 eps) (/.f64 1/8 (cos.f64 eps)))) |
(*.f64 (/.f64 1/8 (cos.f64 eps)) (*.f64 (sin.f64 eps) 8)) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 eps) -2)) (*.f64 (sin.f64 eps) -2)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 (cos.f64 eps) 2))) (*.f64 (sin.f64 eps) -2)) |
(/.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)) |
(neg.f64 (/.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 eps) 2) (neg.f64 (*.f64 (cos.f64 eps) 2)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
Compiled 5 to 3 computations (40% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
| 0.2b | (/.f64 (sin.f64 eps) (cos.f64 eps)) | |
| 0.2b | (-.f64 1 (tan.f64 x)) | |
| ✓ | 2.6b | (+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
Compiled 39 to 16 computations (59% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
| 0.0ms | eps | @ | 0 | (+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
| 0.0ms | x | @ | -inf | (+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
| 0.0ms | eps | @ | inf | (+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
| 1× | batch-egg-rewrite |
| 1800× | rational.json-1 |
| 1800× | rational.json-2 |
| 1800× | rational.json-4 |
| 1800× | rational.json-3 |
| 1792× | exponential.json-3 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 58 |
| 1 | 101 | 58 |
| 2 | 253 | 58 |
| 3 | 590 | 58 |
| 4 | 1461 | 52 |
| 5 | 4986 | 52 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 1 (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4)) (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.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 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4)) (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1))))) |
| 1× | egg-herbie |
| 1286× | rational.json-simplify-35 |
| 1284× | rational.json-simplify-48 |
| 958× | rational.json-simplify-1 |
| 942× | rational.json-simplify-46 |
| 840× | rational.json-simplify-2 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1805 |
| 1 | 226 | 1791 |
| 2 | 493 | 1791 |
| 3 | 1176 | 1791 |
| 4 | 2197 | 1791 |
| 5 | 2941 | 1791 |
| 6 | 3424 | 1791 |
| 7 | 4302 | 1791 |
| 8 | 6067 | 1791 |
| 9 | 7223 | 1791 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
-1 |
(-.f64 eps 1) |
(-.f64 (+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) 1) |
(-.f64 (+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5)))) 1) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 0) |
(-.f64 (+.f64 (-.f64 1 (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x)))) |
(*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1) |
(*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1/2)) |
(*.f64 4 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4)) |
(*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 2) 1/2) |
(*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4) 1/4) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 2)) |
(*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1/2) 2) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1) |
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 2) 2) |
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4)) (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4))) 16) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 0) |
(+.f64 0 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)) |
(+.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)) |
(*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1) |
(*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1/2)) |
(*.f64 4 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4)) |
(*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 2) 1/2) |
(*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4) 1/4) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 2)) |
(*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1/2) 2) |
(*.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) 1) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1) |
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 2) 2) |
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4)) (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4))) 16) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 x)) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 x))) |
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 x)) (*.f64 -1/3 (pow.f64 x 3))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (neg.f64 x) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -2/15 (pow.f64 x 5))))) |
(+.f64 (*.f64 -2/15 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 x)) (*.f64 -1/3 (pow.f64 x 3)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (+.f64 (neg.f64 x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 -2/15 (pow.f64 x 5)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (+.f64 (neg.f64 x) (*.f64 -1/3 (pow.f64 x 3))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) |
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 eps (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 eps (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 eps (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/3 (pow.f64 eps 3)))) |
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))) |
(+.f64 eps (+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/3 (pow.f64 eps 3)))) |
(+.f64 eps (+.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (*.f64 1/3 (pow.f64 eps 3)))) |
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 eps (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 eps (+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 eps (+.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
-1 |
(-.f64 eps 1) |
(+.f64 eps -1) |
(-.f64 (+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) 1) |
(+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 eps -1)) |
(+.f64 eps (+.f64 -1 (*.f64 1/3 (pow.f64 eps 3)))) |
(-.f64 (+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5)))) 1) |
(+.f64 (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))) (+.f64 eps -1)) |
(+.f64 eps (+.f64 -1 (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))) |
(+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 2/15 (pow.f64 eps 5)) (+.f64 eps -1))) |
(+.f64 eps (+.f64 (*.f64 2/15 (pow.f64 eps 5)) (+.f64 -1 (*.f64 1/3 (pow.f64 eps 3))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 0) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(-.f64 (+.f64 (-.f64 1 (tan.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1/2)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(*.f64 4 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 2) 1/2) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4) 1/4) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 2)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1/2) 2) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 2) 2) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4) 4) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4)) 8) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4)) (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 4))) 16) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 0 (tan.f64 x))) 1) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 0) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(+.f64 0 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(+.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1/2)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(*.f64 4 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 2) 1/2) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4) 1/4) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 2)) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1/2) 2) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(*.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) 1) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 2) 2) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4) 4) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4)) 8) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4)) (*.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 4))) 16) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
(pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) 1) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (sin.f64 x) (cos.f64 x)) |
| ✓ | 0.2b | (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) |
| ✓ | 1.7b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 2.4b | (sin.f64 (+.f64 eps x)) |
Compiled 40 to 9 computations (77.5% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | -inf | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 0.0ms | eps | @ | inf | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1948× | rational.json-1 |
| 1948× | rational.json-2 |
| 1948× | rational.json-4 |
| 1948× | rational.json-3 |
| 792× | rational.json-simplify-61 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 77 |
| 1 | 88 | 77 |
| 2 | 237 | 77 |
| 3 | 625 | 73 |
| 4 | 1715 | 73 |
| 5 | 5315 | 73 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 x)) (*.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 2 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 x)) (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 eps x)) (*.f64 2 (/.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 eps x)) (*.f64 (*.f64 2 (/.f64 1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 eps x)) (*.f64 (/.f64 2 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (/.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (*.f64 2 (/.f64 1/2 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (cos.f64 x)) (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 2 (cos.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (/.f64 1 (*.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (*.f64 (/.f64 1 (*.f64 (cos.f64 x) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (*.f64 1/4 (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 x)) (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 (/.f64 -1 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 -1 (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 x)) (*.f64 (sin.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 x)) 1/2) (*.f64 (sin.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 x) 4)) (*.f64 (sin.f64 (+.f64 eps x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 2 (/.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (*.f64 2 (/.f64 1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (/.f64 2 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (*.f64 2 (/.f64 1/2 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 x) 2) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 x) (/.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) 2) (cos.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 1 (*.f64 (cos.f64 x) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (*.f64 1/4 (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 -1 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (sin.f64 x) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 x)) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cos.f64 x)) 1/2) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 x) 4)) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 1094× | rational.json-simplify-43 |
| 1000× | rational.json-simplify-1 |
| 936× | rational.json-simplify-47 |
| 928× | rational.json-simplify-44 |
| 860× | rational.json-simplify-35 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 4351 |
| 1 | 569 | 4179 |
| 2 | 1187 | 4151 |
| 3 | 2902 | 3925 |
| 4 | 6224 | 3709 |
| 5 | 7949 | 3709 |
| 1× | node limit |
| Inputs |
|---|
eps |
(+.f64 eps (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x)))) |
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))))) |
(+.f64 eps (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x)))))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(sin.f64 eps) |
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)) |
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (*.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3)) (sin.f64 eps))) |
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (*.f64 -1/2 (cos.f64 eps)))) (+.f64 2/15 (*.f64 1/24 (cos.f64 eps))))) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (*.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3)) (sin.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))))) |
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x)))))) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(sin.f64 eps) |
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 3)) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 3)) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (*.f64 -1/2 (cos.f64 eps)))) (*.f64 1/24 (cos.f64 eps)))) (pow.f64 x 5)) (sin.f64 eps)))) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 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 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 0) |
(+.f64 0 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) |
(+.f64 -1 (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) |
(+.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) |
(+.f64 (-.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) -1) |
(*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1) |
(*.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) |
(*.f64 -1 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) |
(*.f64 2 (/.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2)) |
(*.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2) 1)) |
(*.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) -2) 1/2) |
(*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) -1) |
(*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) |
(*.f64 (/.f64 1 (cos.f64 x)) (*.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1)) |
(*.f64 1/2 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) -2)) |
(*.f64 1/2 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 2 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 2) (cos.f64 x)))) |
(*.f64 (/.f64 1/2 (cos.f64 x)) (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2) 2) |
(*.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (/.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1) |
(/.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) -2) 2) |
(/.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) -1) |
(/.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) -2) |
(/.f64 (*.f64 2 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 4))) 16) |
(pow.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1) |
(neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 0) |
(+.f64 0 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) 2))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 0) |
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 (+.f64 eps x)) (*.f64 2 (/.f64 1/2 (cos.f64 x)))) |
(*.f64 (sin.f64 (+.f64 eps x)) (*.f64 (*.f64 2 (/.f64 1 (cos.f64 x))) 1/2)) |
(*.f64 (sin.f64 (+.f64 eps x)) (*.f64 (/.f64 2 (cos.f64 x)) 1/2)) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 1) |
(*.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1/2 (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (/.f64 1 (cos.f64 x)) 1/2)) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) 1/2) 1)) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (*.f64 2 (/.f64 1/2 (cos.f64 x))) 1/2)) |
(*.f64 -1 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))) |
(*.f64 2 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) 2))) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) 2)) 1)) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1 (cos.f64 x)))) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 1/2)) |
(*.f64 2 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1/2 (cos.f64 x)))) |
(*.f64 2 (*.f64 (/.f64 1/2 (cos.f64 x)) (sin.f64 (+.f64 eps x)))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 2 (cos.f64 x))) 1/2) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (/.f64 1 (*.f64 (cos.f64 x) 4))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (*.f64 (/.f64 1 (*.f64 (cos.f64 x) 4)) 1)) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (*.f64 1/4 (/.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 x)))) |
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 (+.f64 eps x))) |
(*.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 -1 (cos.f64 x))) |
(*.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 (/.f64 -1 (cos.f64 x)) 1)) |
(*.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 -1 (/.f64 1 (cos.f64 x)))) |
(*.f64 1/2 (*.f64 (sin.f64 (+.f64 eps x)) (/.f64 2 (cos.f64 x)))) |
(*.f64 (/.f64 1/2 (cos.f64 x)) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(*.f64 (*.f64 (/.f64 1 (cos.f64 x)) 1/2) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) -1) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) 2)) 2) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 x) 4)) (*.f64 (sin.f64 (+.f64 eps x)) 4)) |
(*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 (+.f64 eps x)))) |
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) 1) |
(neg.f64 (/.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0) |
(+.f64 0 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0) |
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 2 (/.f64 1/2 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (*.f64 (*.f64 2 (/.f64 1 (cos.f64 x))) 1/2)) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 2 (cos.f64 x)) 1/2)) |
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1) |
(*.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (cos.f64 x)) 1/2)) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) 1/2) 1)) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (*.f64 2 (/.f64 1/2 (cos.f64 x))) 1/2)) |
(*.f64 -1 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(*.f64 2 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2))) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) 1)) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 x) 2) (/.f64 1 (cos.f64 x)))) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2)) |
(*.f64 2 (*.f64 (sin.f64 x) (/.f64 1/2 (cos.f64 x)))) |
(*.f64 2 (*.f64 (/.f64 1/2 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) 2) (cos.f64 x)) 1/2) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (cos.f64 x) 4))) |
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 1 (*.f64 (cos.f64 x) 4)) 1)) |
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 1/4 (/.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 x)))) |
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (cos.f64 x))) |
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 -1 (cos.f64 x)) 1)) |
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) -1) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) 2) (cos.f64 x))) |
(*.f64 (/.f64 1/2 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 (/.f64 1 (cos.f64 x)) 1/2) (*.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) 2) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 x) 4)) (*.f64 (sin.f64 x) 4)) |
(*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x))) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
| Outputs |
|---|
eps |
(+.f64 eps (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x)))) |
(+.f64 eps (*.f64 -1/2 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) |
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 eps (*.f64 (/.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 (sin.f64 x) -1/2))) |
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))))) |
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (*.f64 -1/6 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) eps)) |
(+.f64 (*.f64 (/.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) |
(+.f64 eps (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x)))))) |
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (cos.f64 x)))))) |
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1/6 (pow.f64 eps 3))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 eps 2) (cos.f64 x)) (*.f64 (sin.f64 x) -1/2)) (+.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (/.f64 (sin.f64 x) (cos.f64 x)))))) |
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) (cos.f64 x))))))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(sin.f64 eps) |
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)) |
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1))) |
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 -1 (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (*.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3)) (sin.f64 eps))) |
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (sin.f64 eps) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (*.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3)))) |
(+.f64 (sin.f64 eps) (+.f64 (*.f64 x (+.f64 -1 (cos.f64 eps))) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (*.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3)))) |
(+.f64 (+.f64 (sin.f64 eps) (*.f64 x (+.f64 -1 (cos.f64 eps)))) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (*.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3))) |
(+.f64 (*.f64 x (+.f64 -1 (cos.f64 eps))) (+.f64 (sin.f64 eps) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (*.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3)))) |
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (*.f64 -1/2 (cos.f64 eps)))) (+.f64 2/15 (*.f64 1/24 (cos.f64 eps))))) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (*.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3)) (sin.f64 eps)))) |
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (+.f64 (+.f64 (sin.f64 eps) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (*.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3))) (*.f64 (-.f64 (*.f64 (cos.f64 eps) 1/120) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (*.f64 -1/2 (cos.f64 eps)))) (+.f64 2/15 (*.f64 1/24 (cos.f64 eps))))) (pow.f64 x 5)))) |
(+.f64 (*.f64 x (+.f64 -1 (cos.f64 eps))) (+.f64 (+.f64 (sin.f64 eps) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (*.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3))) (*.f64 (-.f64 (*.f64 (cos.f64 eps) 1/120) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) 1/3)) (+.f64 2/15 (*.f64 1/24 (cos.f64 eps))))) (pow.f64 x 5)))) |
(+.f64 (+.f64 (+.f64 (sin.f64 eps) (*.f64 x (+.f64 -1 (cos.f64 eps)))) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/3 (*.f64 -1/2 (cos.f64 eps)))) (pow.f64 x 3))) (*.f64 (-.f64 (*.f64 (cos.f64 eps) 1/120) (+.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 2/15 (*.f64 1/24 (cos.f64 eps))))) (pow.f64 x 5))) |
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(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
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(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
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(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x)))))) |
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(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) (*.f64 -1/2 (/.f64 (pow.f64 eps 2) (cos.f64 x))))))) |
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(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) |
(sin.f64 eps) |
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(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) |
x |
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(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
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(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 eps -1))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
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(*.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2) 2) |
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(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (cos.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (cos.f64 x)) 1/2)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) 1/2) 1)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (*.f64 2 (/.f64 1/2 (cos.f64 x))) 1/2)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 -1 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 2 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 x) 2) (/.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/2)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 2 (*.f64 (sin.f64 x) (/.f64 1/2 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 2 (*.f64 (/.f64 1/2 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) 2) (cos.f64 x)) 1/2) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (cos.f64 x) 4))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 1 (*.f64 (cos.f64 x) 4)) 1)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 1/4 (/.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (cos.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 -1 (cos.f64 x)) 1)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) -1) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) 2) (cos.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (/.f64 1/2 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (*.f64 (/.f64 1 (cos.f64 x)) 1/2) (*.f64 (sin.f64 x) 2)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) 2) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 x) 4)) (*.f64 (sin.f64 x) 4)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 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)) | |
| ✓ | 0.5b | (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) |
| 2.4b | (sin.f64 (+.f64 eps x)) | |
| ✓ | 4.1b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
Compiled 126 to 53 computations (57.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 3.0ms | x | @ | 0 | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 1.0ms | eps | @ | 0 | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| 1.0ms | x | @ | 0 | (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) |
| 1× | batch-egg-rewrite |
| 1986× | rational.json-1 |
| 1986× | rational.json-2 |
| 1146× | rational.json-simplify-35 |
| 978× | exponential.json-3 |
| 978× | rational.json-4 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 158 |
| 1 | 164 | 150 |
| 2 | 410 | 150 |
| 3 | 1082 | 150 |
| 4 | 2972 | 150 |
| 5 | 7116 | 150 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.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 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1/2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (/.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (/.f64 1 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 -1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (*.f64 (sin.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 1/2) (*.f64 (sin.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))) 4)) (*.f64 (sin.f64 (+.f64 eps x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (neg.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 1/2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))))))) |
| 1× | egg-herbie |
| 1574× | rational.json-simplify-51 |
| 1456× | rational.json-simplify-35 |
| 974× | rational.json-simplify-1 |
| 784× | rational.json-simplify-44 |
| 734× | rational.json-simplify-47 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 314 | 12610 |
| 1 | 771 | 12442 |
| 2 | 1552 | 12338 |
| 3 | 3336 | 11788 |
| 4 | 6337 | 11744 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) |
(+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (sin.f64 (neg.f64 x)))) (cos.f64 x)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 (neg.f64 x)) 2)) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (sin.f64 (neg.f64 x)))) (cos.f64 x))))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (sin.f64 (neg.f64 x))) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 (neg.f64 x)) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2)))))) (sin.f64 (neg.f64 x))) (cos.f64 x))))) (pow.f64 eps 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 (neg.f64 x)) 2)) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (sin.f64 (neg.f64 x)))) (cos.f64 x)))))) |
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (neg.f64 x))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 3)))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (*.f64 8 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (pow.f64 (sin.f64 (neg.f64 x)) 2)) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 4))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (neg.f64 x))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 3)))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) |
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (*.f64 (cos.f64 x) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -2 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 -4 (/.f64 (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 3)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) (*.f64 8 (/.f64 (*.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (pow.f64 (sin.f64 (neg.f64 x)) 2)) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 4))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -2 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 -4 (/.f64 (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 3))))))) |
(/.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) |
(+.f64 (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) x) (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) |
(+.f64 (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) x) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 eps 2)) 1/2) (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (*.f64 -1 (/.f64 (*.f64 eps (-.f64 (/.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))))) |
(+.f64 (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) x) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) (+.f64 1/3 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 eps 2)) 1/2) (-.f64 (/.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 eps 2)) 1/2) (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (*.f64 -1 (/.f64 (*.f64 eps (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) (*.f64 1/6 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 eps 2)) 1/2) (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (*.f64 -1 (/.f64 (*.f64 eps (-.f64 (/.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (*.f64 eps (sin.f64 (*.f64 -1 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (*.f64 eps (sin.f64 (*.f64 -1 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (*.f64 eps (sin.f64 (*.f64 -1 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
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(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 0) |
(+.f64 0 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 0) |
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) |
(*.f64 2 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) |
(*.f64 2 (*.f64 (/.f64 1/2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (sin.f64 (+.f64 eps x)))) |
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 1) |
(*.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) |
(*.f64 -1 (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 1/2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (/.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 1/2)) |
(*.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 1/2) |
(*.f64 (*.f64 (sin.f64 (+.f64 eps x)) 4) (/.f64 1 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))) 4))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (sin.f64 (+.f64 eps x))) |
(*.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 -1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) |
(*.f64 (/.f64 1/2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 1/2) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) -1) |
(*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 2) |
(*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))) 4)) (*.f64 (sin.f64 (+.f64 eps x)) 4)) |
(*.f64 (/.f64 -1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (neg.f64 (sin.f64 (+.f64 eps x)))) |
(*.f64 (+.f64 (/.f64 1/2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 1/2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) (sin.f64 (+.f64 eps x))) |
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 1) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) |
| Outputs |
|---|
(*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) |
(*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) |
(*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) |
(+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (sin.f64 (neg.f64 x)))) (cos.f64 x)))) |
(+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 eps 2)) (/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) (neg.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 eps 2)) (cos.f64 x))))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) (neg.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))))) |
(*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 (neg.f64 x)) 2)) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (sin.f64 (neg.f64 x)))) (cos.f64 x))))) |
(+.f64 (+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 eps 2)) (/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) -1/2) 1/6))))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) (*.f64 -1 (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1/6 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) -1/2)))) (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 eps 2)) (cos.f64 x)))))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) (*.f64 -1 (+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))) (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) -1/2) (neg.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (/.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)))))))))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (*.f64 (+.f64 1/6 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (neg.f64 (pow.f64 eps 3)))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (sin.f64 (neg.f64 x))) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 (neg.f64 x)) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2)))))) (sin.f64 (neg.f64 x))) (cos.f64 x))))) (pow.f64 eps 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 (neg.f64 x)) 2)) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (sin.f64 (neg.f64 x)))) (cos.f64 x)))))) |
(+.f64 (+.f64 (+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 eps 2)) (/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) -1/2) 1/6))))) (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))) (*.f64 -1 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (/.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) -1/2) 1/6)) (cos.f64 x)))))) (pow.f64 eps 4))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) (+.f64 (*.f64 -1 (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1/6 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) -1/2)))) (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 eps 2)) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)) 1/2)) (neg.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1/6 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) -1/2))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))))) (pow.f64 eps 4)))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) (+.f64 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) 1/2)) (neg.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) -1/2) (neg.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (/.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)))))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))))) (pow.f64 eps 4)) (*.f64 -1 (+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 2) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))) (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) -1/2) (neg.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (/.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))))))))))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (+.f64 (*.f64 (+.f64 1/6 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (neg.f64 (pow.f64 eps 3))) (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (+.f64 (neg.f64 (/.f64 (+.f64 1/6 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))) (*.f64 1/2 (/.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))))) (pow.f64 eps 4)))) |
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) |
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) |
(+.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (pow.f64 eps 2))))) |
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (*.f64 -2 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (pow.f64 eps 2))))) |
(+.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (pow.f64 eps 2))))) |
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(/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) |
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(*.f64 4 (*.f64 (/.f64 1/4 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) (sin.f64 (+.f64 x eps)))) |
(*.f64 (/.f64 1/4 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) (*.f64 4 (sin.f64 (+.f64 x eps)))) |
(*.f64 4 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1/4 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (sin.f64 (+.f64 eps x))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(*.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 -1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(*.f64 (/.f64 1/2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(*.f64 2 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1/2 (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))))) |
(*.f64 (sin.f64 (+.f64 x eps)) (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))))) |
(*.f64 2 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1/2 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))))) |
(*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 1/2) (*.f64 (sin.f64 (+.f64 eps x)) 2)) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) -1) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 2) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))) 4)) (*.f64 (sin.f64 (+.f64 eps x)) 4)) |
(*.f64 (*.f64 4 (sin.f64 (+.f64 x eps))) (/.f64 1 (*.f64 4 (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))))) |
(*.f64 4 (*.f64 (/.f64 1/4 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) (sin.f64 (+.f64 x eps)))) |
(*.f64 (/.f64 1/4 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) (*.f64 4 (sin.f64 (+.f64 x eps)))) |
(*.f64 4 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1/4 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))))) |
(*.f64 (/.f64 -1 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (neg.f64 (sin.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(*.f64 (+.f64 (/.f64 1/2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 1/2 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) (sin.f64 (+.f64 eps x))) |
(*.f64 (sin.f64 (+.f64 x eps)) (+.f64 (/.f64 1/2 (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 1/2 (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))))) |
(*.f64 (sin.f64 (+.f64 x eps)) (+.f64 (/.f64 1/2 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 1/2 (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))))) |
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) 1) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
(/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) |
Compiled 28436 to 14799 computations (48% saved)
53 alts after pruning (47 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 857 | 19 | 876 |
| Fresh | 6 | 28 | 34 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 6 | 9 |
| Total | 867 | 53 | 920 |
| Status | Error | Program |
|---|---|---|
| 49.3b | (/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (cos.f64 x)) | |
| 59.2b | (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) | |
| ✓ | 29.1b | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
| 48.6b | (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| ▶ | 48.6b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
| 36.7b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.9b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 60.5b | (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 50.3b | (-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 38.5b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 50.0b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| ✓ | 50.7b | (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
| 49.9b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (*.f64 x (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (/.f64 (/.f64 (*.f64 eps (sin.f64 eps)) (-.f64 -1 (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 39.3b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) (tan.f64 x)) | |
| 39.4b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) x) | |
| 38.9b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) x) | |
| 38.8b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) x)) (tan.f64 x)) | |
| 60.2b | (-.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| ✓ | 37.5b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| ✓ | 39.1b | (-.f64 (tan.f64 (+.f64 x eps)) x) |
| 32.1b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) | |
| 33.5b | (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 x 3) (neg.f64 (+.f64 1/2 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (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 x (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) | |
| 59.3b | (+.f64 (-.f64 1 (tan.f64 x)) -1) | |
| 47.6b | (+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2) | |
| 30.8b | (+.f64 (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (pow.f64 eps 3)))) | |
| 30.8b | (+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (*.f64 (+.f64 1/6 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (neg.f64 (pow.f64 eps 3)))) | |
| 46.4b | (+.f64 (*.f64 eps (pow.f64 x 2)) eps) | |
| 30.8b | (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))))) | |
| 46.6b | (+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3)))) | |
| 46.7b | (+.f64 eps (*.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6))))) | |
| 46.4b | (+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) | |
| 47.7b | (+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) | |
| 46.4b | (+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) | |
| 36.4b | (*.f64 (/.f64 (cos.f64 eps) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 1 (sin.f64 eps))) | |
| 36.4b | (*.f64 (/.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps)))) | |
| 49.3b | (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) | |
| ▶ | 29.1b | (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
| 30.8b | (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) | |
| 30.5b | (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) | |
| ✓ | 30.5b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
| 43.4b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (pow.f64 x 2))) -1)) | |
| 43.1b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1)) | |
| 37.9b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 2))) -1)) | |
| ▶ | 46.4b | (*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
| 37.9b | (*.f64 eps (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) -1)) | |
| ▶ | 30.5b | (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) |
| 30.5b | (*.f64 eps (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) -1)) | |
| 38.1b | (*.f64 eps (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))) -1)) | |
| 38.1b | (*.f64 eps (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2))) -1)) | |
| 30.5b | (*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) | |
| ▶ | 41.6b | (sin.f64 eps) |
| ✓ | 61.7b | (neg.f64 x) |
| 43.6b | eps |
Compiled 2438 to 1679 computations (31.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (cos.f64 eps)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
Compiled 19 to 10 computations (47.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | -inf | (/.f64 1 (cos.f64 eps)) |
| 0.0ms | eps | @ | inf | (/.f64 1 (cos.f64 eps)) |
| 0.0ms | eps | @ | 0 | (/.f64 1 (cos.f64 eps)) |
| 0.0ms | eps | @ | 0 | (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
| 0.0ms | eps | @ | inf | (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
| 1× | batch-egg-rewrite |
| 1676× | rational.json-1 |
| 1676× | rational.json-2 |
| 1676× | rational.json-3 |
| 1214× | rational.json-simplify-35 |
| 846× | rational.json-4 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 73 | 26 |
| 2 | 179 | 26 |
| 3 | 391 | 26 |
| 4 | 924 | 26 |
| 5 | 2802 | 26 |
| 6 | 7065 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
(/.f64 1 (cos.f64 eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)))) (#(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 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))) (*.f64 (sin.f64 eps) (/.f64 1/2 (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 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (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 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (cos.f64 eps)) (+.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 (cos.f64 eps) 8) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (/.f64 4 (cos.f64 eps))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) 4) (*.f64 (cos.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (cos.f64 eps)) (+.f64 (/.f64 2 (sin.f64 eps)) (/.f64 2 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (/.f64 (*.f64 (cos.f64 eps) 8) (sin.f64 eps)) (/.f64 (*.f64 (cos.f64 eps) 8) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (*.f64 2 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 2 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) 8) (*.f64 (cos.f64 eps) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (+.f64 (neg.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) (neg.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) -2) (*.f64 (cos.f64 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) 1/2) (*.f64 (cos.f64 eps) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) 1/2) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (-.f64 0 (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 eps) 8)) (*.f64 2 (*.f64 (cos.f64 eps) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 eps) -2)) (*.f64 (neg.f64 (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 eps) 8)) (neg.f64 (*.f64 (cos.f64 eps) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 eps) 8) (cos.f64 eps)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 eps) 4)) (neg.f64 (*.f64 (cos.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (-.f64 0 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 eps) -2)) (*.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 eps) 4)) (neg.f64 (*.f64 (sin.f64 eps) 4))) (*.f64 2 (neg.f64 (*.f64 (cos.f64 eps) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8)) (*.f64 2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 eps) -2)) (*.f64 2 (*.f64 (sin.f64 eps) -2))) (*.f64 2 (*.f64 (neg.f64 (cos.f64 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) 8) (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) 8) (cos.f64 eps))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 eps) -2)) (neg.f64 (*.f64 (sin.f64 eps) -2))) (*.f64 (cos.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (cos.f64 eps))) (-.f64 0 (/.f64 1 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (cos.f64 eps))) (-.f64 0 (/.f64 2 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 eps) 1/2)) (-.f64 0 (*.f64 (cos.f64 eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 eps) -2))) (-.f64 0 (*.f64 (neg.f64 (cos.f64 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 eps) 4))) (*.f64 (cos.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 eps) 4))) (-.f64 0 (neg.f64 (*.f64 (cos.f64 eps) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 eps) -2))) (*.f64 (cos.f64 eps) -2))))) (#(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 (sin.f64 eps) (neg.f64 (cos.f64 eps)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 1/2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) (/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) 2) (/.f64 1/2 (*.f64 (cos.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1 (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cos.f64 eps)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (cos.f64 eps)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 4 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) 1/2) (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cos.f64 eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (cos.f64 eps))))))) |
| 1× | egg-herbie |
| 1396× | rational.json-simplify-35 |
| 1354× | rational.json-simplify-61 |
| 1336× | rational.json-simplify-49 |
| 908× | rational.json-simplify-46 |
| 836× | rational.json-simplify-50 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 228 | 1752 |
| 1 | 670 | 1752 |
| 2 | 1803 | 1746 |
| 3 | 6291 | 1746 |
| 1× | node limit |
| Inputs |
|---|
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 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
1 |
(+.f64 1 (*.f64 1/2 (pow.f64 eps 2))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 5/24 (pow.f64 eps 4)))) |
(+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 eps 6)) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 5/24 (pow.f64 eps 4))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) |
(+.f64 0 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+.f64 (*.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))) (*.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (cos.f64 eps))) |
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) |
(/.f64 -1 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps)))) |
(/.f64 -1 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) |
(/.f64 4 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))) |
(/.f64 (*.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) 2)) |
(/.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) 2) |
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps))) |
(/.f64 (/.f64 2 (cos.f64 eps)) (+.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))) |
(/.f64 8 (*.f64 2 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 8 (/.f64 (*.f64 (cos.f64 eps) 8) (sin.f64 eps))) |
(/.f64 (*.f64 (sin.f64 eps) (/.f64 4 (cos.f64 eps))) 4) |
(/.f64 (*.f64 (sin.f64 eps) 4) (*.f64 (cos.f64 eps) 4)) |
(/.f64 -2 (neg.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))) |
(/.f64 -2 (+.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))))) |
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (/.f64 4 (cos.f64 eps)) (+.f64 (/.f64 2 (sin.f64 eps)) (/.f64 2 (sin.f64 eps)))) |
(/.f64 1/2 (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps)))) |
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))) |
(/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) |
(/.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 16 (+.f64 (/.f64 (*.f64 (cos.f64 eps) 8) (sin.f64 eps)) (/.f64 (*.f64 (cos.f64 eps) 8) (sin.f64 eps)))) |
(/.f64 16 (+.f64 (*.f64 2 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 2 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) |
(/.f64 (*.f64 (sin.f64 eps) 8) (*.f64 (cos.f64 eps) 8)) |
(/.f64 -4 (+.f64 (neg.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) (neg.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))))) |
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8) 8) |
(/.f64 (*.f64 (sin.f64 eps) -2) (*.f64 (cos.f64 eps) -2)) |
(/.f64 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))) |
(/.f64 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))) |
(/.f64 (*.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))) 1/2) |
(/.f64 (*.f64 (sin.f64 eps) 1/2) (*.f64 (cos.f64 eps) 1/2)) |
(/.f64 (*.f64 (sin.f64 eps) 1/2) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (cos.f64 eps) 2))) |
(/.f64 -1/2 (-.f64 0 (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps))))) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 eps) 8)) (*.f64 2 (*.f64 (cos.f64 eps) 8))) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 eps) -2)) (*.f64 (neg.f64 (cos.f64 eps)) 4)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) 8)) (neg.f64 (*.f64 (cos.f64 eps) 8))) |
(/.f64 (/.f64 (*.f64 (sin.f64 eps) 8) (cos.f64 eps)) 8) |
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) -1) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8)) 16) |
(/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) 1/4) |
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) 4)) (neg.f64 (*.f64 (cos.f64 eps) 4))) |
(/.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (-.f64 0 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) -2)) (*.f64 (cos.f64 eps) 2)) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4))) 1/2) |
(/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 eps) 4)) (neg.f64 (*.f64 (sin.f64 eps) 4))) (*.f64 2 (neg.f64 (*.f64 (cos.f64 eps) 4)))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8)) (*.f64 2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8))) 32) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 eps) -2)) (*.f64 2 (*.f64 (sin.f64 eps) -2))) (*.f64 2 (*.f64 (neg.f64 (cos.f64 eps)) 4))) |
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) 8) (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) 8) (cos.f64 eps))) 16) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps)))) -2) |
(/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 eps) -2)) (neg.f64 (*.f64 (sin.f64 eps) -2))) (*.f64 (cos.f64 eps) 4)) |
(/.f64 (neg.f64 (/.f64 1 (cos.f64 eps))) (-.f64 0 (/.f64 1 (sin.f64 eps)))) |
(/.f64 (neg.f64 (/.f64 2 (cos.f64 eps))) (-.f64 0 (/.f64 2 (sin.f64 eps)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) 1/2)) (-.f64 0 (*.f64 (cos.f64 eps) 1/2))) |
(/.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 eps) -2))) (-.f64 0 (*.f64 (neg.f64 (cos.f64 eps)) 4))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 eps) 4))) (*.f64 (cos.f64 eps) 4)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 eps) 4))) (-.f64 0 (neg.f64 (*.f64 (cos.f64 eps) 4)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 eps) -2))) (*.f64 (cos.f64 eps) -2)) |
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) |
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps)))) |
(+.f64 (/.f64 1 (cos.f64 eps)) 0) |
(+.f64 0 (/.f64 1 (cos.f64 eps))) |
(+.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 1/2 (cos.f64 eps))) |
(-.f64 (/.f64 1 (cos.f64 eps)) 0) |
(*.f64 1 (/.f64 1 (cos.f64 eps))) |
(*.f64 (cos.f64 eps) (/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps)))) |
(*.f64 (/.f64 1 (cos.f64 eps)) 1) |
(*.f64 2 (/.f64 1/2 (cos.f64 eps))) |
(*.f64 (*.f64 (cos.f64 eps) 2) (/.f64 1/2 (*.f64 (cos.f64 eps) (cos.f64 eps)))) |
(*.f64 4 (/.f64 (/.f64 1 (cos.f64 eps)) 4)) |
(*.f64 (/.f64 2 (cos.f64 eps)) 1/2) |
(*.f64 (/.f64 4 (cos.f64 eps)) 1/4) |
(*.f64 1/2 (/.f64 2 (cos.f64 eps))) |
(*.f64 (/.f64 1/2 (cos.f64 eps)) 2) |
(*.f64 1/4 (/.f64 4 (cos.f64 eps))) |
(*.f64 (*.f64 (cos.f64 eps) 1/2) (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps)))) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps)) |
(*.f64 (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) 1/2)) |
(*.f64 (/.f64 (/.f64 1 (cos.f64 eps)) 4) 4) |
(*.f64 (/.f64 1/2 (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) 2)) |
(pow.f64 (/.f64 1 (cos.f64 eps)) 1) |
(neg.f64 (/.f64 -1 (cos.f64 eps))) |
| Outputs |
|---|
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 eps (+.f64 (*.f64 2/15 (pow.f64 eps 5)) (*.f64 17/315 (pow.f64 eps 7))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
1 |
(+.f64 1 (*.f64 1/2 (pow.f64 eps 2))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 5/24 (pow.f64 eps 4)))) |
(+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 5/24 (pow.f64 eps 4)))) |
(+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 eps 6)) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 5/24 (pow.f64 eps 4))))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 5/24 (pow.f64 eps 4)) (*.f64 61/720 (pow.f64 eps 6))))) |
(+.f64 1 (+.f64 (*.f64 5/24 (pow.f64 eps 4)) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 61/720 (pow.f64 eps 6))))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 0 (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (*.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))) (*.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (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 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 -1 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 -1 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 4 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) 2)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) 2) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (/.f64 2 (cos.f64 eps)) (+.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 8 (*.f64 2 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 8 (/.f64 (*.f64 (cos.f64 eps) 8) (sin.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 (sin.f64 eps) (/.f64 4 (cos.f64 eps))) 4) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 (sin.f64 eps) 4) (*.f64 (cos.f64 eps) 4)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 -2 (neg.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 -2 (+.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (/.f64 4 (cos.f64 eps)) (+.f64 (/.f64 2 (sin.f64 eps)) (/.f64 2 (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 1/2 (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 16 (+.f64 (/.f64 (*.f64 (cos.f64 eps) 8) (sin.f64 eps)) (/.f64 (*.f64 (cos.f64 eps) 8) (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 16 (+.f64 (*.f64 2 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 2 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 (sin.f64 eps) 8) (*.f64 (cos.f64 eps) 8)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 -4 (+.f64 (neg.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) (neg.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8) 8) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 (sin.f64 eps) -2) (*.f64 (cos.f64 eps) -2)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))) |
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 4 (*.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))))) |
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (/.f64 4 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))) |
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))))) |
(/.f64 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))) 1/2) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 (sin.f64 eps) 1/2) (*.f64 (cos.f64 eps) 1/2)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 (sin.f64 eps) 1/2) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (cos.f64 eps) 2))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 -1/2 (-.f64 0 (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 eps) 8)) (*.f64 2 (*.f64 (cos.f64 eps) 8))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 eps) -2)) (*.f64 (neg.f64 (cos.f64 eps)) 4)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) 8)) (neg.f64 (*.f64 (cos.f64 eps) 8))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (/.f64 (*.f64 (sin.f64 eps) 8) (cos.f64 eps)) 8) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) -1) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8)) 16) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) 1/4) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) 4)) (neg.f64 (*.f64 (cos.f64 eps) 4))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (-.f64 0 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) -2)) (*.f64 (cos.f64 eps) 2)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4))) 1/2) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 eps) 4)) (neg.f64 (*.f64 (sin.f64 eps) 4))) (*.f64 2 (neg.f64 (*.f64 (cos.f64 eps) 4)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8)) (*.f64 2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8))) 32) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 eps) -2)) (*.f64 2 (*.f64 (sin.f64 eps) -2))) (*.f64 2 (*.f64 (neg.f64 (cos.f64 eps)) 4))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) 8) (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) 8) (cos.f64 eps))) 16) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps)))) -2) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 eps) -2)) (neg.f64 (*.f64 (sin.f64 eps) -2))) (*.f64 (cos.f64 eps) 4)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (/.f64 1 (cos.f64 eps))) (-.f64 0 (/.f64 1 (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (/.f64 2 (cos.f64 eps))) (-.f64 0 (/.f64 2 (sin.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) 1/2)) (-.f64 0 (*.f64 (cos.f64 eps) 1/2))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 eps) -2))) (-.f64 0 (*.f64 (neg.f64 (cos.f64 eps)) 4))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 eps) 4))) (*.f64 (cos.f64 eps) 4)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 eps) 4))) (-.f64 0 (neg.f64 (*.f64 (cos.f64 eps) 4)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 eps) -2))) (*.f64 (cos.f64 eps) -2)) |
(/.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 (sin.f64 eps) (neg.f64 (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+.f64 (/.f64 1 (cos.f64 eps)) 0) |
(/.f64 1 (cos.f64 eps)) |
(+.f64 0 (/.f64 1 (cos.f64 eps))) |
(/.f64 1 (cos.f64 eps)) |
(+.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 1/2 (cos.f64 eps))) |
(/.f64 1 (cos.f64 eps)) |
(-.f64 (/.f64 1 (cos.f64 eps)) 0) |
(/.f64 1 (cos.f64 eps)) |
(*.f64 1 (/.f64 1 (cos.f64 eps))) |
(/.f64 1 (cos.f64 eps)) |
(*.f64 (cos.f64 eps) (/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps)))) |
(/.f64 1 (cos.f64 eps)) |
(*.f64 (/.f64 1 (cos.f64 eps)) 1) |
(/.f64 1 (cos.f64 eps)) |
(*.f64 2 (/.f64 1/2 (cos.f64 eps))) |
(*.f64 (*.f64 (cos.f64 eps) 2) (/.f64 1/2 (*.f64 (cos.f64 eps) (cos.f64 eps)))) |
(/.f64 1 (cos.f64 eps)) |
(*.f64 4 (/.f64 (/.f64 1 (cos.f64 eps)) 4)) |
(/.f64 1 (cos.f64 eps)) |
(*.f64 (/.f64 2 (cos.f64 eps)) 1/2) |
(*.f64 1/2 (/.f64 2 (cos.f64 eps))) |
(*.f64 (/.f64 4 (cos.f64 eps)) 1/4) |
(*.f64 1/2 (/.f64 2 (cos.f64 eps))) |
(*.f64 (/.f64 1/2 (cos.f64 eps)) 2) |
(*.f64 2 (/.f64 1/2 (cos.f64 eps))) |
(*.f64 1/4 (/.f64 4 (cos.f64 eps))) |
(*.f64 (/.f64 4 (cos.f64 eps)) 1/4) |
(*.f64 (*.f64 (cos.f64 eps) 1/2) (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps)))) |
(*.f64 (cos.f64 eps) (*.f64 1/2 (/.f64 (/.f64 2 (cos.f64 eps)) (cos.f64 eps)))) |
(*.f64 (cos.f64 eps) (*.f64 1/2 (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps))))) |
(*.f64 (/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps)) |
(/.f64 1 (cos.f64 eps)) |
(*.f64 (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) 1/2)) |
(*.f64 (*.f64 (cos.f64 eps) 1/2) (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps)))) |
(*.f64 (cos.f64 eps) (*.f64 1/2 (/.f64 (/.f64 2 (cos.f64 eps)) (cos.f64 eps)))) |
(*.f64 (cos.f64 eps) (*.f64 1/2 (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps))))) |
(*.f64 (/.f64 (/.f64 1 (cos.f64 eps)) 4) 4) |
(/.f64 1 (cos.f64 eps)) |
(*.f64 (/.f64 1/2 (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) 2)) |
(/.f64 1 (cos.f64 eps)) |
(pow.f64 (/.f64 1 (cos.f64 eps)) 1) |
(/.f64 1 (cos.f64 eps)) |
(neg.f64 (/.f64 -1 (cos.f64 eps))) |
(/.f64 1 (cos.f64 eps)) |
Compiled 5 to 3 computations (40% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
| 0.3b | (pow.f64 (cos.f64 x) 2) | |
| ✓ | 4.0b | (*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
Compiled 45 to 29 computations (35.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
| 1.0ms | x | @ | inf | (*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
| 1.0ms | x | @ | -inf | (*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
| 0.0ms | eps | @ | inf | (*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
| 0.0ms | x | @ | inf | (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
| 1× | batch-egg-rewrite |
| 1500× | rational.json-1 |
| 1500× | rational.json-2 |
| 1500× | rational.json-3 |
| 1498× | rational.json-4 |
| 1490× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 58 |
| 1 | 90 | 58 |
| 2 | 204 | 58 |
| 3 | 450 | 58 |
| 4 | 1117 | 58 |
| 5 | 4199 | 58 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 1/2 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))))) (*.f64 eps (+.f64 1/2 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 2 (/.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 eps 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 eps 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 eps 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 (pow.f64 x 2)) (*.f64 2 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (*.f64 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (*.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 2 (pow.f64 x 2)) (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 2)) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 4) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (/.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (cos.f64 x) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 8) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) -2) (/.f64 1/2 (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) -2) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 x 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/2) (/.f64 2 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) (*.f64 (pow.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 (pow.f64 x 2)) (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))))))))) |
| 1× | egg-herbie |
| 1438× | rational.json-simplify-2 |
| 970× | rational.json-simplify-50 |
| 796× | rational.json-simplify-35 |
| 784× | rational.json-simplify-1 |
| 760× | rational.json-simplify-44 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 3133 |
| 1 | 435 | 3055 |
| 2 | 1092 | 3011 |
| 3 | 4036 | 2963 |
| 4 | 6931 | 2963 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
eps |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 (*.f64 eps (pow.f64 x 4)) (+.f64 (*.f64 eps (pow.f64 x 2)) eps)) |
(+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 eps (pow.f64 x 4)) (+.f64 (*.f64 eps (pow.f64 x 2)) eps))) |
(/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2)) |
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))) |
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))) |
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2)) |
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))) |
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))) |
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 4) (pow.f64 x 2)) |
(+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 6)))) |
(+.f64 (*.f64 17/45 (pow.f64 x 8)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 6))))) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) 0) |
(+.f64 0 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))))) |
(+.f64 (*.f64 eps (+.f64 1/2 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))))) (*.f64 eps (+.f64 1/2 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))))) |
(-.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) 0) |
(/.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) 1) |
(/.f64 (*.f64 eps (+.f64 2 (/.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) 2) |
(/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 eps 4)) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 eps 4))) 8) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 eps 4)))) 16) |
(pow.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) 1) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 0) |
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))) |
(+.f64 0 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 0) |
(-.f64 0 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 2)) |
(-.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 (pow.f64 x 2)) (*.f64 2 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 2 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (pow.f64 x 2) (*.f64 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) 1/2)) |
(*.f64 (pow.f64 x 2) (*.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2)) |
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 -1 (*.f64 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 1)) |
(*.f64 -1 (/.f64 (*.f64 2 (pow.f64 x 2)) (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))))) |
(*.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (*.f64 2 (pow.f64 x 2)) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) 1/2) |
(*.f64 (*.f64 (pow.f64 x 2) 4) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8))) |
(*.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) 1)) |
(*.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 x 2)) |
(*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) 1)) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (/.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2)))))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2)))))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(*.f64 4 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (cos.f64 x) 2) 4))) |
(*.f64 4 (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 4)) |
(*.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 4) 1/4) |
(*.f64 (*.f64 (pow.f64 x 2) 8) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) 8))) |
(*.f64 1/2 (/.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) |
(*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(*.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 2 (pow.f64 x 2))) |
(*.f64 (*.f64 (pow.f64 x 2) -2) (/.f64 1/2 (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (*.f64 (pow.f64 x 2) -2) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) -2))) |
(*.f64 (*.f64 (pow.f64 x 2) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))))) |
(*.f64 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) -1) |
(*.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(*.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(*.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) 2) |
(*.f64 (/.f64 -1 (pow.f64 x 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(*.f64 1/4 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 4)) |
(*.f64 (*.f64 (pow.f64 x 2) 1/2) (/.f64 2 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2)))))) |
(*.f64 (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) (*.f64 (pow.f64 x 2) 4)) |
(*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 x 2))) |
(pow.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1) |
(neg.f64 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(neg.f64 (/.f64 (*.f64 2 (pow.f64 x 2)) (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))))) |
| Outputs |
|---|
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
eps |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 eps (*.f64 eps (pow.f64 x 2))) |
(+.f64 (*.f64 eps (pow.f64 x 4)) (+.f64 (*.f64 eps (pow.f64 x 2)) eps)) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 eps (pow.f64 x 4)))) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (pow.f64 x 4)))) |
(+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 6))) (+.f64 (*.f64 eps (pow.f64 x 4)) (+.f64 (*.f64 eps (pow.f64 x 2)) eps))) |
(+.f64 (*.f64 eps (pow.f64 x 4)) (+.f64 (+.f64 eps (*.f64 eps (pow.f64 x 2))) (*.f64 eps (*.f64 2/3 (pow.f64 x 6))))) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 (+.f64 eps (*.f64 eps (pow.f64 x 4))) (*.f64 eps (*.f64 2/3 (pow.f64 x 6))))) |
(+.f64 eps (+.f64 (*.f64 eps (+.f64 (pow.f64 x 2) (pow.f64 x 4))) (*.f64 eps (*.f64 2/3 (pow.f64 x 6))))) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 6)))))) |
(/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 x 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 x 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))) |
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 x 2)) (pow.f64 (cos.f64 x) 2))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 4) (pow.f64 x 2)) |
(+.f64 (pow.f64 x 2) (pow.f64 x 4)) |
(+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 2/3 (pow.f64 x 6)) (pow.f64 x 4))) |
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 6)))) |
(+.f64 (*.f64 17/45 (pow.f64 x 8)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 6))))) |
(+.f64 (pow.f64 x 4) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 6))) (*.f64 17/45 (pow.f64 x 8)))) |
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 6))) (*.f64 17/45 (pow.f64 x 8)))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 17/45 (pow.f64 x 8)) (+.f64 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 6))))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 2/3 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (*.f64 17/45 (pow.f64 x 8))))) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) 0) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 0 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (*.f64 eps (+.f64 1/2 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))))) (*.f64 eps (+.f64 1/2 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))))) |
(*.f64 (+.f64 1/2 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 eps eps)) |
(*.f64 (+.f64 1/2 (/.f64 (pow.f64 x 2) (/.f64 (pow.f64 (cos.f64 x) 2) 1/2))) (+.f64 eps eps)) |
(*.f64 eps (+.f64 1/2 (+.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 eps (+.f64 1/2 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1/2))) |
(-.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) 0) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) 1) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 eps (+.f64 2 (/.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) 2) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 eps 4)) 4) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 eps 4))) 8) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 eps 4)))) 16) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) 1) |
(*.f64 eps (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1)) |
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 0) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(+.f64 0 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(+.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 0) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 0 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(-.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 2)) |
(-.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 x 2) (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) 2))) |
(-.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (cos.f64 x) 2) -2))) |
(-.f64 (/.f64 (pow.f64 x 2) (/.f64 (pow.f64 (cos.f64 x) 2) 1/2)) (/.f64 -1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) |
(*.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 x 2) (neg.f64 (pow.f64 x 2)))) |
(-.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 (pow.f64 x 2)) (*.f64 2 (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 x 2) (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) 2))) |
(-.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (cos.f64 x) 2) -2))) |
(-.f64 (/.f64 (pow.f64 x 2) (/.f64 (pow.f64 (cos.f64 x) 2) 1/2)) (/.f64 -1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) |
(*.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 x 2) (neg.f64 (pow.f64 x 2)))) |
(*.f64 2 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 x 2) (*.f64 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) 1/2)) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (pow.f64 x 2) (*.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2)) |
(*.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 (pow.f64 x 2) (*.f64 1/2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 -1 (*.f64 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 1)) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 -1 (/.f64 (*.f64 2 (pow.f64 x 2)) (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 2 (pow.f64 x 2)) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) 1/2) |
(*.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 (pow.f64 x 2) (*.f64 1/2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (*.f64 (pow.f64 x 2) 4) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) 1)) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 x 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) 1)) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (/.f64 2 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2)))))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 1 (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2)))))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 x 2) (pow.f64 x 2)))))) |
(*.f64 2 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (/.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 x x) 2)))))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 x 2) (pow.f64 x 2)))))) |
(*.f64 2 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (/.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 x x) 2)))))) |
(*.f64 4 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (cos.f64 x) 2) 4))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 4 (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 4)) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 4) 1/4) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 x 2) 8) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) 8))) |
(*.f64 (pow.f64 x 2) (*.f64 8 (/.f64 1/8 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 1/8 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 x 2) 8)) |
(*.f64 1/2 (/.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) |
(*.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 (pow.f64 x 2) (*.f64 1/2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 2 (pow.f64 x 2))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 x 2) -2) (/.f64 1/2 (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 x 2) -2) (/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) -2))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 x 2) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x 2) 1/2)) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) -1) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 (pow.f64 x 2) (*.f64 1/2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(*.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 x 2) (pow.f64 x 2)))))) |
(*.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 x x) 2))))) |
(*.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 (/.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) 2)) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (/.f64 (*.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 x x) 2)) (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 -1 (pow.f64 x 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 1/4 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 4)) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 x 2) 1/2) (/.f64 2 (pow.f64 (cos.f64 x) 2))) |
(*.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 (pow.f64 x 2) (*.f64 1/2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) |
(*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2)))))) |
(*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 x 2) (pow.f64 x 2))) 2)))) |
(*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) |
(*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 (cos.f64 x) 2)) 2)) |
(*.f64 (/.f64 (pow.f64 (*.f64 x x) 2) (*.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 2 (pow.f64 x 2))) |
(*.f64 (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)) (*.f64 (pow.f64 x 2) 4)) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 x 2))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(pow.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(neg.f64 (/.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (pow.f64 x 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)) (pow.f64 x 2))))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
(neg.f64 (/.f64 (*.f64 2 (pow.f64 x 2)) (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))))) |
(/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) |
| 0.3b | (pow.f64 (cos.f64 x) 2) | |
| 0.3b | (pow.f64 (sin.f64 x) 2) | |
| ✓ | 1.4b | (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) |
Compiled 88 to 61 computations (30.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) |
| 0.0ms | eps | @ | inf | (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) |
| 0.0ms | eps | @ | 0 | (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) |
| 0.0ms | x | @ | -inf | (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) |
| 0.0ms | x | @ | inf | (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) |
| 1× | batch-egg-rewrite |
| 1838× | rational.json-1 |
| 1838× | rational.json-2 |
| 1838× | rational.json-4 |
| 1838× | rational.json-3 |
| 1830× | exponential.json-3 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 82 |
| 1 | 133 | 70 |
| 2 | 294 | 50 |
| 3 | 690 | 50 |
| 4 | 1631 | 50 |
| 5 | 5088 | 50 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) |
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 (-.f64 -1 (pow.f64 (sin.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (sin.f64 x) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (/.f64 (sin.f64 x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 x) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) -1) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) -1) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))) (*.f64 2 (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1))))) |
| 1× | egg-herbie |
| 1396× | rational.json-simplify-35 |
| 924× | rational.json-simplify-2 |
| 846× | rational.json-simplify-1 |
| 820× | rational.json-simplify-52 |
| 772× | rational.json-simplify-51 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 1948 |
| 1 | 342 | 1942 |
| 2 | 910 | 1936 |
| 3 | 2037 | 1930 |
| 4 | 3941 | 1930 |
| 5 | 5545 | 1930 |
| 6 | 6866 | 1930 |
| 7 | 7527 | 1930 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
eps |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 17/45 (*.f64 eps (pow.f64 x 6)))))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 1 (-.f64 1 (pow.f64 (sin.f64 x) 2))) |
(-.f64 (+.f64 1 (pow.f64 (sin.f64 x) 2)) 1) |
(-.f64 -1 (-.f64 -1 (pow.f64 (sin.f64 x) 2))) |
(-.f64 (pow.f64 (sin.f64 x) 2) 0) |
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(-.f64 -2 (-.f64 (-.f64 -1 (pow.f64 (sin.f64 x) 2)) 1)) |
(-.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1) |
(-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) 2) 2) |
(-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2) |
(*.f64 1 (pow.f64 (sin.f64 x) 2)) |
(*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) 2)) |
(*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) 1)) |
(*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2)) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1) |
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (pow.f64 (sin.f64 x) 2) 1) |
(*.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2) |
(*.f64 4 (pow.f64 (/.f64 (sin.f64 x) 2) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4) |
(*.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2))) |
(*.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) 2) |
(*.f64 (pow.f64 (*.f64 (sin.f64 x) 2) 2) 1/4) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1) |
(/.f64 (pow.f64 (sin.f64 x) 2) 1) |
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4) -4) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) -8) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) -4) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4) -1) 4) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) -1) -8) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) -1) 8) |
(/.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) -1) 4) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (pow.f64 (sin.f64 x) 2) 1) |
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0) |
(+.f64 0 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0) |
(/.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1) |
(/.f64 (*.f64 2 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2) |
(/.f64 (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)) 4) |
(/.f64 (*.f64 2 (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))) (*.f64 2 (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))) 16) |
(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1) |
| Outputs |
|---|
(pow.f64 x 2) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 2/45 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (*.f64 -1/3 (pow.f64 x 4)))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (*.f64 2/45 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 -1/315 (pow.f64 x 8))))) |
(+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/45 (pow.f64 x 6))) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (*.f64 -1/3 (pow.f64 x 4)))) |
(+.f64 (+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4))) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (*.f64 -1/315 (pow.f64 x 8)))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (*.f64 -1/315 (pow.f64 x 8))))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (*.f64 -1/315 (pow.f64 x 8))))) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
eps |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 eps (*.f64 (pow.f64 x 2) eps)) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))) |
(+.f64 eps (+.f64 (*.f64 eps (*.f64 (pow.f64 x 4) 2/3)) (*.f64 (pow.f64 x 2) eps))) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3)))) |
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 17/45 (*.f64 eps (pow.f64 x 6)))))) |
(+.f64 eps (+.f64 (+.f64 (*.f64 eps (*.f64 (pow.f64 x 4) 2/3)) (*.f64 eps (*.f64 (pow.f64 x 6) 17/45))) (*.f64 (pow.f64 x 2) eps))) |
(+.f64 eps (+.f64 (*.f64 (pow.f64 x 2) eps) (+.f64 (*.f64 eps (*.f64 (pow.f64 x 4) 2/3)) (*.f64 (pow.f64 x 6) (*.f64 17/45 eps))))) |
(+.f64 eps (+.f64 (*.f64 (pow.f64 x 2) eps) (*.f64 eps (+.f64 (*.f64 (pow.f64 x 6) 17/45) (*.f64 (pow.f64 x 4) 2/3))))) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 17/45) (*.f64 (pow.f64 x 4) 2/3))))) |
(+.f64 eps (*.f64 eps (+.f64 (*.f64 (pow.f64 x 6) 17/45) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3))))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 1 (-.f64 1 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 (+.f64 1 (pow.f64 (sin.f64 x) 2)) 1) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 -1 (-.f64 -1 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 (pow.f64 (sin.f64 x) 2) 0) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 -2 (-.f64 (-.f64 -1 (pow.f64 (sin.f64 x) 2)) 1)) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) 2) 2) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 1 (pow.f64 (sin.f64 x) 2)) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) 2)) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) 1)) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2)) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (pow.f64 (sin.f64 x) 2) 1) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 4 (pow.f64 (/.f64 (sin.f64 x) 2) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) 2) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (pow.f64 (*.f64 (sin.f64 x) 2) 2) 1/4) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (pow.f64 (sin.f64 x) 2) 1) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4) -4) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) -8) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) -4) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4) -1) 4) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) -1) -8) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) -1) 8) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) -1) 4) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (pow.f64 (sin.f64 x) 2) 1) |
(pow.f64 (sin.f64 x) 2) |
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 0 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 2 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)) 4) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 2 (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))) 8) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))) (*.f64 2 (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))) 16) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1) |
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)) |
| 0.5b | (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) | |
| 2.4b | (sin.f64 (+.f64 eps x)) | |
| ✓ | 8.0b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
Compiled 135 to 61 computations (54.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
| 0.0ms | eps | @ | 0 | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
| 0.0ms | eps | @ | inf | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
| 0.0ms | eps | @ | -inf | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 2044× | rational.json-1 |
| 2044× | rational.json-2 |
| 1026× | rational.json-simplify-35 |
| 922× | exponential.json-3 |
| 922× | rational.json-4 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 116 |
| 1 | 183 | 100 |
| 2 | 427 | 100 |
| 3 | 1077 | 100 |
| 4 | 2808 | 100 |
| 5 | 6986 | 100 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 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 0 (/.f64 (sin.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (*.f64 (cos.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (*.f64 -1 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 (cos.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 4 (/.f64 (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) -2) (*.f64 2 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) -2) (neg.f64 (*.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sin.f64 x)) (*.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sin.f64 x)) (*.f64 -2 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sin.f64 x)) (+.f64 (*.f64 -1 (neg.f64 (cos.f64 x))) (*.f64 -1 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (/.f64 4 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 4 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (*.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))) (*.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 2 (*.f64 (cos.f64 x) 4)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) 4) (*.f64 2 (*.f64 2 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) 4) (*.f64 2 (neg.f64 (*.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) 4) (*.f64 4 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 4) (+.f64 (*.f64 -2 (neg.f64 (cos.f64 x))) (*.f64 -2 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (neg.f64 (sin.f64 x)) 4)) (+.f64 (*.f64 4 (neg.f64 (cos.f64 x))) (*.f64 4 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (*.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) 4)) (neg.f64 (*.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) -1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) -2) (*.f64 (cos.f64 x) -1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 (cos.f64 x) (sin.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (cos.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 4 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 4 (/.f64 (cos.f64 x) (sin.f64 x)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) -1/2)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) -1/2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) -2) (*.f64 (cos.f64 x) -1/2)) (/.f64 (*.f64 (sin.f64 x) -2) (*.f64 (cos.f64 x) -1/2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (sin.f64 x)) -1/2) (*.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) (*.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) (-.f64 0 (*.f64 2 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) (-.f64 0 (neg.f64 (*.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))))))) |
| 1× | egg-herbie |
| 1514× | rational.json-simplify-35 |
| 1016× | rational.json-simplify-1 |
| 996× | rational.json-simplify-43 |
| 936× | rational.json-simplify-46 |
| 774× | rational.json-simplify-2 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 351 | 7469 |
| 1 | 982 | 7389 |
| 2 | 2425 | 7379 |
| 3 | 5716 | 7341 |
| 4 | 7552 | 7341 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) |
(+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (sin.f64 (neg.f64 x)))) (cos.f64 x)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 (neg.f64 x)) 2)) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (sin.f64 (neg.f64 x)))) (cos.f64 x))))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (sin.f64 (neg.f64 x))) (cos.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 (neg.f64 x)) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2)))))) (sin.f64 (neg.f64 x))) (cos.f64 x))))) (pow.f64 eps 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 (neg.f64 x)) 2)) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (sin.f64 (neg.f64 x)))) (cos.f64 x)))))) |
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (neg.f64 x))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 3)))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(+.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (*.f64 8 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (pow.f64 (sin.f64 (neg.f64 x)) 2)) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 4))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (neg.f64 x))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 3)))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) |
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (*.f64 (cos.f64 x) (pow.f64 eps 2))))) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -2 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 -4 (/.f64 (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 3)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) (*.f64 8 (/.f64 (*.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (pow.f64 (sin.f64 (neg.f64 x)) 2)) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 4))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -2 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (*.f64 -4 (/.f64 (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 3))))))) |
(/.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) |
(+.f64 (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) x) (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) |
(+.f64 (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) x) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 eps 2)) 1/2) (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (*.f64 -1 (/.f64 (*.f64 eps (-.f64 (/.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))))) |
(+.f64 (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) x) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) (+.f64 1/3 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 eps 2)) 1/2) (-.f64 (/.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 eps 2)) 1/2) (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (*.f64 -1 (/.f64 (*.f64 eps (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) (*.f64 1/6 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 eps 2)) 1/2) (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (*.f64 -1 (/.f64 (*.f64 eps (-.f64 (/.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 eps)) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))))) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (*.f64 eps (sin.f64 (*.f64 -1 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (*.f64 eps (sin.f64 (*.f64 -1 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (*.f64 eps (sin.f64 (*.f64 -1 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (*.f64 eps (sin.f64 (*.f64 -1 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))) (/.f64 (sin.f64 x) (cos.f64 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 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) |
(+.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 0) |
(+.f64 0 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 -1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1))) |
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) |
(+.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)) -1) |
(*.f64 2 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) |
(*.f64 1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1) |
(*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))))) |
(*.f64 (*.f64 2 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1/2) |
(*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) -1) |
(*.f64 1/2 (*.f64 2 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(*.f64 1/2 (-.f64 (*.f64 2 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 2) 2) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1) |
(/.f64 (*.f64 2 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 2) |
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1))))) -1) |
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 4)) 8) |
(/.f64 (*.f64 2 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))))) -2) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 4))) 16) |
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1) |
(neg.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 2) -1/2) 1)))))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0) |
(+.f64 0 (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (*.f64 (cos.f64 x) 2)) 2)) |
(/.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))) |
(/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (*.f64 -1 (neg.f64 (cos.f64 x)))) |
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1) |
(/.f64 -1 (-.f64 0 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(/.f64 -1 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) |
(/.f64 4 (*.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))) |
(/.f64 4 (/.f64 4 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) -2) (*.f64 2 (neg.f64 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) -2) (neg.f64 (*.f64 (cos.f64 x) 2))) |
(/.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(/.f64 -2 (-.f64 0 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))) |
(/.f64 (*.f64 2 (sin.f64 x)) (*.f64 (cos.f64 x) 2)) |
(/.f64 (*.f64 2 (sin.f64 x)) (*.f64 -2 (neg.f64 (cos.f64 x)))) |
(/.f64 (*.f64 2 (sin.f64 x)) (+.f64 (*.f64 -1 (neg.f64 (cos.f64 x))) (*.f64 -1 (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) 4) |
(/.f64 8 (+.f64 (/.f64 4 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 4 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 8 (+.f64 (*.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))) (*.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))))) |
(/.f64 8 (/.f64 (*.f64 2 (*.f64 (cos.f64 x) 4)) (sin.f64 x))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 4) (*.f64 2 (*.f64 2 (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 4) (*.f64 2 (neg.f64 (*.f64 (cos.f64 x) 2)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 4) (*.f64 4 (neg.f64 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) 4)) |
(/.f64 (*.f64 (sin.f64 x) 4) (+.f64 (*.f64 -2 (neg.f64 (cos.f64 x))) (*.f64 -2 (neg.f64 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) -1) |
(/.f64 (*.f64 2 (*.f64 (neg.f64 (sin.f64 x)) 4)) (+.f64 (*.f64 4 (neg.f64 (cos.f64 x))) (*.f64 4 (neg.f64 (cos.f64 x))))) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (*.f64 (cos.f64 x) 4))) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) 8) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 4)) (neg.f64 (*.f64 (cos.f64 x) 4))) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) -1/2)) -2) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (*.f64 (cos.f64 x) -1/2)) 4) |
(/.f64 (/.f64 4 (/.f64 (cos.f64 x) (sin.f64 x))) 4) |
(/.f64 (/.f64 2 (cos.f64 x)) (/.f64 2 (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) 1/2) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (cos.f64 x) -1/2)) |
(/.f64 (/.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) 2)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2))) 1) |
(/.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) -2) |
(/.f64 (+.f64 (/.f64 4 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 4 (/.f64 (cos.f64 x) (sin.f64 x)))) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4))) 16) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) -1/2)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) -1/2))) -4) |
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) -2) (*.f64 (cos.f64 x) -1/2)) (/.f64 (*.f64 (sin.f64 x) -2) (*.f64 (cos.f64 x) -1/2))) 8) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 4)) 1/4) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) -1/2) (*.f64 (cos.f64 x) 2)) |
(/.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 (cos.f64 x) 2)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) (*.f64 (cos.f64 x) 2)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) (-.f64 0 (*.f64 2 (neg.f64 (cos.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) (-.f64 0 (neg.f64 (*.f64 (cos.f64 x) 2)))) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) |
| Outputs |
|---|
(*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) |
(*.f64 (-.f64 1 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) eps) |
(*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) |
(+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (sin.f64 (neg.f64 x)))) (cos.f64 x)))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) eps) (*.f64 -1 (*.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) (/.f64 (-.f64 1 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))))) |
(+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (neg.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) (cos.f64 x))))) |
(+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) (neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 eps 2))) (cos.f64 x))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 (neg.f64 x)) 2)) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (neg.f64 x))) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 2) (sin.f64 (neg.f64 x)))) (cos.f64 x))))) |
(+.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) eps) (*.f64 -1 (*.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) (/.f64 (-.f64 1 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x))))) (*.f64 (pow.f64 eps 3) (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (/.f64 (-.f64 1 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) -1/2) 1/6)) -1))) |
(+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) eps) (*.f64 -1 (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 1/6 (+.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) -1/2) (neg.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2))))))) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (pow.f64 eps 2) (neg.f64 (sin.f64 x))) (cos.f64 x)))))) |
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 (neg.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (*.f64 eps (sin.f64 (*.f64 -1 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (+.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (*.f64 eps (sin.f64 (*.f64 -1 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (+.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (*.f64 eps (sin.f64 (*.f64 -1 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (+.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (+.f64 (*.f64 eps (sin.f64 (*.f64 -1 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) (pow.f64 eps 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (+.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
x |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x) |
(+.f64 x (*.f64 1/3 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))) |
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(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (*.f64 (cos.f64 x) 2)) 2)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (sin.f64 x) (*.f64 -1 (neg.f64 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 -1 (-.f64 0 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 -1 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 4 (*.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 4 (/.f64 4 (/.f64 (sin.f64 x) (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) -2) (*.f64 2 (neg.f64 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) -2) (neg.f64 (*.f64 (cos.f64 x) 2))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) 2) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 -2 (-.f64 0 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 2 (sin.f64 x)) (*.f64 (cos.f64 x) 2)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 2 (sin.f64 x)) (*.f64 -2 (neg.f64 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 2 (sin.f64 x)) (+.f64 (*.f64 -1 (neg.f64 (cos.f64 x))) (*.f64 -1 (neg.f64 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) 4) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 8 (+.f64 (/.f64 4 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 4 (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 8 (+.f64 (*.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))) (*.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 8 (/.f64 (*.f64 2 (*.f64 (cos.f64 x) 4)) (sin.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 4) (*.f64 2 (*.f64 2 (neg.f64 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 4) (*.f64 2 (neg.f64 (*.f64 (cos.f64 x) 2)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 4) (*.f64 4 (neg.f64 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) 4)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) 4) (+.f64 (*.f64 -2 (neg.f64 (cos.f64 x))) (*.f64 -2 (neg.f64 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) -1) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 2 (*.f64 (neg.f64 (sin.f64 x)) 4)) (+.f64 (*.f64 4 (neg.f64 (cos.f64 x))) (*.f64 4 (neg.f64 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (*.f64 (cos.f64 x) 4))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) 8) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 4)) (neg.f64 (*.f64 (cos.f64 x) 4))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) -1/2)) -2) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (*.f64 (cos.f64 x) -1/2)) 4) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (/.f64 4 (/.f64 (cos.f64 x) (sin.f64 x))) 4) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (/.f64 2 (cos.f64 x)) (/.f64 2 (sin.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) 1/2) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (cos.f64 x) -1/2)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) 2)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 2))) 1) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) -2) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (+.f64 (/.f64 4 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 4 (/.f64 (cos.f64 x) (sin.f64 x)))) 8) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4))) 16) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) -1/2)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) -1/2))) -4) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) -2) (*.f64 (cos.f64 x) -1/2)) (/.f64 (*.f64 (sin.f64 x) -2) (*.f64 (cos.f64 x) -1/2))) 8) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 4)) 1/4) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) -1/2) (*.f64 (cos.f64 x) 2)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 (cos.f64 x) 2)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) (*.f64 (cos.f64 x) 2)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) (-.f64 0 (*.f64 2 (neg.f64 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) -2)) (-.f64 0 (neg.f64 (*.f64 (cos.f64 x) 2)))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
Compiled 26948 to 16204 computations (39.9% saved)
62 alts after pruning (54 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 757 | 13 | 770 |
| Fresh | 1 | 41 | 42 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 8 | 10 |
| Total | 761 | 62 | 823 |
| Status | Error | Program |
|---|---|---|
| 29.2b | (/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps))) | |
| 49.3b | (/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (cos.f64 x)) | |
| 59.2b | (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) | |
| 29.1b | (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (cos.f64 eps))) | |
| ✓ | 29.1b | (/.f64 (sin.f64 eps) (cos.f64 eps)) |
| 29.1b | (/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) | |
| 29.1b | (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) | |
| 48.6b | (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 48.7b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (/.f64 2 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) | |
| 48.6b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) | |
| 36.7b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 36.9b | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 60.5b | (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 50.3b | (-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 50.3b | (-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) | |
| 38.5b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 50.0b | (-.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| ✓ | 50.7b | (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
| 49.9b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (*.f64 x (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (/.f64 (/.f64 (*.f64 eps (sin.f64 eps)) (-.f64 -1 (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| 49.9b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (*.f64 x (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (/.f64 (/.f64 (*.f64 eps (sin.f64 eps)) (-.f64 -1 (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2)))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) | |
| 39.3b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) (tan.f64 x)) | |
| 39.4b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) x) | |
| 38.9b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) x) | |
| 38.8b | (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) x)) (tan.f64 x)) | |
| 60.2b | (-.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (/.f64 (sin.f64 x) (cos.f64 x))) | |
| ✓ | 37.5b | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| ✓ | 39.1b | (-.f64 (tan.f64 (+.f64 x eps)) x) |
| 32.1b | (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))) | |
| 33.5b | (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 x 3) (neg.f64 (+.f64 1/2 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (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 x (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) | |
| 59.3b | (+.f64 (-.f64 1 (tan.f64 x)) -1) | |
| 47.6b | (+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2) | |
| 30.8b | (+.f64 (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (pow.f64 eps 3)))) | |
| 30.8b | (+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (*.f64 (+.f64 1/6 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (neg.f64 (pow.f64 eps 3)))) | |
| 46.4b | (+.f64 (*.f64 eps (pow.f64 x 2)) eps) | |
| 30.8b | (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))))) | |
| 46.7b | (+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 17/45) (*.f64 (pow.f64 x 4) 2/3))))) | |
| 46.6b | (+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3)))) | |
| 46.4b | (+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) | |
| 47.7b | (+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) | |
| 46.4b | (+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) | |
| 62.0b | (*.f64 (pow.f64 x 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) | |
| 36.4b | (*.f64 (/.f64 (cos.f64 eps) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 1 (sin.f64 eps))) | |
| 36.4b | (*.f64 (/.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps)))) | |
| 49.3b | (*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) | |
| ✓ | 29.1b | (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
| 30.8b | (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) | |
| 30.5b | (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) | |
| ✓ | 30.5b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
| 43.4b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (pow.f64 x 2))) -1)) | |
| 43.1b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1)) | |
| 37.9b | (*.f64 eps (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 2))) -1)) | |
| 37.9b | (*.f64 eps (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) -1)) | |
| 30.6b | (*.f64 eps (-.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) 2) 2) (pow.f64 (cos.f64 x) 2)) -1)) | |
| 30.5b | (*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) -1)) | |
| 46.7b | (*.f64 eps (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 2)) -1)) | |
| 30.5b | (*.f64 eps (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) -1)) | |
| 38.1b | (*.f64 eps (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))) -1)) | |
| 38.1b | (*.f64 eps (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2))) -1)) | |
| 30.5b | (*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) | |
| ✓ | 41.6b | (sin.f64 eps) |
| ✓ | 61.7b | (neg.f64 x) |
| 43.6b | eps |
Compiled 1440 to 1005 computations (30.2% saved)
| Inputs |
|---|
eps |
(neg.f64 x) |
(sin.f64 eps) |
(+.f64 (-.f64 1 (tan.f64 x)) -1) |
(-.f64 (tan.f64 (+.f64 x eps)) x) |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) |
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1)) |
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) |
(*.f64 eps (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 2)) -1)) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x)))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1) |
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2) |
(+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(*.f64 (pow.f64 x 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (cos.f64 x)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (pow.f64 x 2))) -1)) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x))) |
(+.f64 eps (*.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6))))) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 17/45) (*.f64 (pow.f64 x 4) 2/3))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (cos.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) -1)) |
(*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) 2) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) |
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) -1)) |
(+.f64 (+.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) -1) (+.f64 1 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2))) |
(-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.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 (cos.f64 eps) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 1 (sin.f64 eps))) |
(*.f64 (/.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) -1)) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) x)) (tan.f64 x)) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
(*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (/.f64 2 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) x) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (*.f64 x (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (/.f64 (/.f64 (*.f64 eps (sin.f64 eps)) (-.f64 -1 (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (*.f64 x (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (/.f64 (/.f64 (*.f64 eps (sin.f64 eps)) (-.f64 -1 (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2)))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2))) -1)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 2))) -1)) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) (tan.f64 x)) |
(*.f64 eps (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))) -1)) |
(+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) |
(+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))))) |
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (*.f64 (+.f64 1/6 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (neg.f64 (pow.f64 eps 3)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) x) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) (tan.f64 x)) |
(+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))) (*.f64 (pow.f64 eps 3) (neg.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) |
(+.f64 (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (pow.f64 eps 3)))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 x 3) (neg.f64 (+.f64 1/2 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (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 x (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) |
| Outputs |
|---|
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))) (*.f64 (pow.f64 eps 3) (neg.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
3 calls:
| 494.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 308.0ms | eps |
| 285.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.6b | 3 | x |
| 15.4b | 3 | eps |
| 16.7b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 1797 to 941 computations (47.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 7274.426551421432 | 3386185.4814697807 |
| 47.0ms | -6373536685.246323 | -1.5089790158579111e-9 |
| 37.0ms | 81× | body | 1024 | valid |
| 25.0ms | 162× | body | 256 | valid |
| 8.0ms | 14× | body | 2048 | valid |
| 8.0ms | 31× | body | 512 | valid |
Compiled 1774 to 1234 computations (30.4% saved)
| Inputs |
|---|
eps |
(neg.f64 x) |
(sin.f64 eps) |
(+.f64 (-.f64 1 (tan.f64 x)) -1) |
(-.f64 (tan.f64 (+.f64 x eps)) x) |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) |
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1)) |
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) |
(*.f64 eps (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 2)) -1)) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x)))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1) |
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2) |
(+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(*.f64 (pow.f64 x 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (cos.f64 x)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (pow.f64 x 2))) -1)) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x))) |
(+.f64 eps (*.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6))))) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 17/45) (*.f64 (pow.f64 x 4) 2/3))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (cos.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) -1)) |
(*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) 2) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) |
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) -1)) |
(+.f64 (+.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) -1) (+.f64 1 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2))) |
(-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.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 (cos.f64 eps) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 1 (sin.f64 eps))) |
(*.f64 (/.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) -1)) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) x)) (tan.f64 x)) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
(*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (/.f64 2 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) x) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (*.f64 x (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (/.f64 (/.f64 (*.f64 eps (sin.f64 eps)) (-.f64 -1 (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (*.f64 x (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (/.f64 (/.f64 (*.f64 eps (sin.f64 eps)) (-.f64 -1 (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2)))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2))) -1)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 2))) -1)) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) (tan.f64 x)) |
(*.f64 eps (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))) -1)) |
(+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) |
(+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))))) |
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (*.f64 (+.f64 1/6 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (neg.f64 (pow.f64 eps 3)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) x) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) (tan.f64 x)) |
| Outputs |
|---|
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (*.f64 (+.f64 1/6 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (neg.f64 (pow.f64 eps 3)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
3 calls:
| 358.0ms | eps |
| 325.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 297.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.7b | 3 | x |
| 15.4b | 3 | eps |
| 16.7b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 1556 to 788 computations (49.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 256.0ms | 7274.426551421432 | 3386185.4814697807 |
| 171.0ms | -6373536685.246323 | -1.5089790158579111e-9 |
| 257.0ms | 89× | body | 1024 | valid |
| 76.0ms | 27× | body | 512 | valid |
| 65.0ms | 9× | body | 2048 | valid |
| 23.0ms | 163× | body | 256 | valid |
Compiled 1450 to 964 computations (33.5% saved)
| Inputs |
|---|
eps |
(neg.f64 x) |
(sin.f64 eps) |
(+.f64 (-.f64 1 (tan.f64 x)) -1) |
(-.f64 (tan.f64 (+.f64 x eps)) x) |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) |
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1)) |
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) |
(*.f64 eps (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 2)) -1)) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x)))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1) |
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2) |
(+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(*.f64 (pow.f64 x 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (cos.f64 x)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (pow.f64 x 2))) -1)) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x))) |
(+.f64 eps (*.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6))))) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 17/45) (*.f64 (pow.f64 x 4) 2/3))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (cos.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) -1)) |
(*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) 2) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) |
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) -1)) |
(+.f64 (+.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) -1) (+.f64 1 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2))) |
(-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.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 (cos.f64 eps) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 1 (sin.f64 eps))) |
(*.f64 (/.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) -1)) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) x)) (tan.f64 x)) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
(*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (/.f64 2 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) x) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (*.f64 x (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (/.f64 (/.f64 (*.f64 eps (sin.f64 eps)) (-.f64 -1 (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (*.f64 x (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (/.f64 (/.f64 (*.f64 eps (sin.f64 eps)) (-.f64 -1 (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2)))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2))) -1)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 2))) -1)) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) (tan.f64 x)) |
(*.f64 eps (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))) -1)) |
(+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) |
(+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))))) |
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))) |
| Outputs |
|---|
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
3 calls:
| 268.0ms | eps |
| 174.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 92.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.7b | 3 | x |
| 15.4b | 3 | eps |
| 16.8b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 1344 to 662 computations (50.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 5.433950313550676e-9 | 2.520457313552213e-5 |
| 47.0ms | -6373536685.246323 | -1.5089790158579111e-9 |
| 40.0ms | 108× | body | 1024 | valid |
| 23.0ms | 153× | body | 256 | valid |
| 6.0ms | 23× | body | 512 | valid |
| 2.0ms | 4× | body | 2048 | valid |
Compiled 982 to 676 computations (31.2% saved)
| Inputs |
|---|
eps |
(neg.f64 x) |
(sin.f64 eps) |
(+.f64 (-.f64 1 (tan.f64 x)) -1) |
(-.f64 (tan.f64 (+.f64 x eps)) x) |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) |
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1)) |
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) |
(*.f64 eps (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 2)) -1)) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x)))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1) |
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2) |
(+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(*.f64 (pow.f64 x 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (cos.f64 x)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (pow.f64 x 2))) -1)) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x))) |
(+.f64 eps (*.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6))))) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 17/45) (*.f64 (pow.f64 x 4) 2/3))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (cos.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) -1)) |
(*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) 2) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) |
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) -1)) |
(+.f64 (+.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) -1) (+.f64 1 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2))) |
(-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.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 (cos.f64 eps) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 1 (sin.f64 eps))) |
(*.f64 (/.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) -1)) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) x)) (tan.f64 x)) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
(*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (*.f64 eps (sin.f64 (neg.f64 x))) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (/.f64 2 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) x) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (*.f64 x (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (/.f64 (/.f64 (*.f64 eps (sin.f64 eps)) (-.f64 -1 (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (*.f64 x (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))) (/.f64 (/.f64 (*.f64 eps (sin.f64 eps)) (-.f64 -1 (*.f64 (pow.f64 eps 2) -1/2))) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2)))))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2))) -1)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 2))) -1)) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) (tan.f64 x)) |
(*.f64 eps (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))) -1)) |
| Outputs |
|---|
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
3 calls:
| 544.0ms | eps |
| 372.0ms | x |
| 46.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 18.0b | 3 | x |
| 15.4b | 3 | eps |
| 16.8b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 1235 to 601 computations (51.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 74.0ms | 5.433950313550676e-9 | 2.520457313552213e-5 |
| 38.0ms | -6373536685.246323 | -1.5089790158579111e-9 |
| 65.0ms | 168× | body | 256 | valid |
| 32.0ms | 90× | body | 1024 | valid |
| 6.0ms | 22× | body | 512 | valid |
| 5.0ms | 8× | body | 2048 | valid |
Compiled 838 to 568 computations (32.2% saved)
| Inputs |
|---|
eps |
(neg.f64 x) |
(sin.f64 eps) |
(+.f64 (-.f64 1 (tan.f64 x)) -1) |
(-.f64 (tan.f64 (+.f64 x eps)) x) |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) |
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1)) |
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) |
(*.f64 eps (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 2)) -1)) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x)))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1) |
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2) |
(+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(*.f64 (pow.f64 x 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (cos.f64 x)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (pow.f64 x 2))) -1)) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x))) |
(+.f64 eps (*.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6))))) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 17/45) (*.f64 (pow.f64 x 4) 2/3))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (cos.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) -1)) |
(*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) 2) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) |
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) -1)) |
(+.f64 (+.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) -1) (+.f64 1 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2))) |
(-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.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 (cos.f64 eps) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (/.f64 1 (sin.f64 eps))) |
(*.f64 (/.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 (pow.f64 eps 2) -1/2))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) -1)) |
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) x)) (tan.f64 x)) |
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x)) |
| Outputs |
|---|
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
3 calls:
| 394.0ms | eps |
| 291.0ms | x |
| 270.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 18.0b | 3 | x |
| 15.7b | 3 | eps |
| 16.8b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 832 to 393 computations (52.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 5.433950313550676e-9 | 2.520457313552213e-5 |
| 44.0ms | -6373536685.246323 | -1.5089790158579111e-9 |
| 36.0ms | 80× | body | 1024 | valid |
| 23.0ms | 169× | body | 256 | valid |
| 7.0ms | 28× | body | 512 | valid |
| 6.0ms | 11× | body | 2048 | valid |
Compiled 694 to 550 computations (20.7% saved)
| Inputs |
|---|
eps |
(neg.f64 x) |
(sin.f64 eps) |
(+.f64 (-.f64 1 (tan.f64 x)) -1) |
(-.f64 (tan.f64 (+.f64 x eps)) x) |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) |
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1)) |
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) |
(*.f64 eps (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 2)) -1)) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x)))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1) |
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2) |
(+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(*.f64 (pow.f64 x 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (cos.f64 x)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (pow.f64 x 2))) -1)) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x))) |
(+.f64 eps (*.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6))))) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 17/45) (*.f64 (pow.f64 x 4) 2/3))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (cos.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) -1)) |
(*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) 2) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) |
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) -1)) |
(+.f64 (+.f64 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2) -1) (+.f64 1 (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2))) |
(-.f64 (/.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 -2 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (pow.f64 eps 2)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| Outputs |
|---|
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
3 calls:
| 73.0ms | eps |
| 63.0ms | x |
| 38.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 18.1b | 3 | x |
| 15.9b | 3 | eps |
| 16.8b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 664 to 327 computations (50.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 5.433950313550676e-9 | 2.520457313552213e-5 |
| 40.0ms | -6373536685.246323 | -1.5089790158579111e-9 |
| 33.0ms | 84× | body | 1024 | valid |
| 23.0ms | 169× | body | 256 | valid |
| 9.0ms | 28× | body | 512 | valid |
| 4.0ms | 7× | body | 2048 | valid |
Compiled 574 to 480 computations (16.4% saved)
| Inputs |
|---|
eps |
(neg.f64 x) |
(sin.f64 eps) |
(+.f64 (-.f64 1 (tan.f64 x)) -1) |
(-.f64 (tan.f64 (+.f64 x eps)) x) |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) |
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1)) |
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) |
(*.f64 eps (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 2)) -1)) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x)))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1) |
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2) |
(+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(*.f64 (pow.f64 x 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (cos.f64 x)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (pow.f64 x 2))) -1)) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x))) |
(+.f64 eps (*.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6))))) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 17/45) (*.f64 (pow.f64 x 4) 2/3))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (cos.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) -1)) |
(*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) eps) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (-.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) 2) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) (pow.f64 (cos.f64 x) 2)) -1)) |
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))) |
| Outputs |
|---|
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
3 calls:
| 61.0ms | eps |
| 60.0ms | x |
| 33.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 18.1b | 3 | x |
| 15.9b | 3 | eps |
| 16.8b | 3 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 563 to 275 computations (51.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 5.433950313550676e-9 | 2.520457313552213e-5 |
| 40.0ms | -6373536685.246323 | -1.5089790158579111e-9 |
| 30.0ms | 79× | body | 1024 | valid |
| 23.0ms | 170× | body | 256 | valid |
| 8.0ms | 12× | body | 2048 | valid |
| 8.0ms | 27× | body | 512 | valid |
Compiled 466 to 372 computations (20.2% saved)
| Inputs |
|---|
eps |
(neg.f64 x) |
(sin.f64 eps) |
(+.f64 (-.f64 1 (tan.f64 x)) -1) |
(-.f64 (tan.f64 (+.f64 x eps)) x) |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) |
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) |
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps))) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1)) |
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) |
(*.f64 eps (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 2)) -1)) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x)))) |
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1) |
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2) |
(+.f64 (-.f64 1 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3)))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) |
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) |
(*.f64 (pow.f64 x 2) (/.f64 eps (pow.f64 (cos.f64 x) 2))) |
(/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (cos.f64 x)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cos.f64 x) 2)) -1)) |
(*.f64 (/.f64 1 (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) |
(+.f64 (-.f64 1 (tan.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)) |
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (pow.f64 x 2))) -1)) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
(+.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x))) |
(+.f64 eps (*.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6))))) |
(+.f64 eps (*.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 17/45) (*.f64 (pow.f64 x 4) 2/3))))) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (cos.f64 eps))) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
3 calls:
| 17.0ms | x |
| 15.0ms | eps |
| 12.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 29.1b | 1 | x |
| 29.1b | 1 | eps |
| 29.1b | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 384 to 194 computations (49.5% saved)
| Inputs |
|---|
eps |
(neg.f64 x) |
(sin.f64 eps) |
(+.f64 (-.f64 1 (tan.f64 x)) -1) |
(-.f64 (tan.f64 (+.f64 x eps)) x) |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
| Outputs |
|---|
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
eps |
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) |
2 calls:
| 18.0ms | eps |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 33.4b | 3 | x |
| 30.2b | 3 | eps |
Compiled 40 to 24 computations (40% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 7274.426551421432 | 3386185.4814697807 |
| 36.0ms | -2.4859372558074304e+30 | -5.172437800904756e+20 |
| 28.0ms | 186× | body | 256 | valid |
| 24.0ms | 64× | body | 1024 | valid |
| 8.0ms | 34× | body | 512 | valid |
| 2.0ms | 4× | body | 2048 | valid |
Compiled 284 to 226 computations (20.4% saved)
| Inputs |
|---|
eps |
(neg.f64 x) |
(sin.f64 eps) |
(+.f64 (-.f64 1 (tan.f64 x)) -1) |
(-.f64 (tan.f64 (+.f64 x eps)) x) |
(+.f64 (*.f64 eps (pow.f64 x 2)) eps) |
| Outputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) x) |
(sin.f64 eps) |
(-.f64 (tan.f64 (+.f64 x eps)) x) |
2 calls:
| 12.0ms | eps |
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 33.4b | 3 | x |
| 31.2b | 3 | eps |
Compiled 32 to 20 computations (37.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 5.433950313550676e-9 | 2.520457313552213e-5 |
| 26.0ms | -1.0306091291802644e+32 | -2.4859372558074304e+30 |
| 25.0ms | 67× | body | 1024 | valid |
| 20.0ms | 146× | body | 256 | valid |
| 6.0ms | 24× | body | 512 | valid |
| 2.0ms | 3× | body | 2048 | valid |
Compiled 224 to 160 computations (28.6% saved)
| Inputs |
|---|
eps |
(neg.f64 x) |
(sin.f64 eps) |
(+.f64 (-.f64 1 (tan.f64 x)) -1) |
| Outputs |
|---|
(sin.f64 eps) |
2 calls:
| 4.0ms | x |
| 4.0ms | eps |
| Error | Segments | Branch |
|---|---|---|
| 41.6b | 1 | x |
| 41.6b | 1 | eps |
Compiled 19 to 13 computations (31.6% saved)
Total -18.5b remaining (-42.5%)
Threshold costs -18.5b (-42.5%)
| Inputs |
|---|
eps |
(neg.f64 x) |
| Outputs |
|---|
eps |
2 calls:
| 3.0ms | eps |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 43.6b | 1 | x |
| 43.6b | 1 | eps |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 1516 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 eps -662929865148937/72057594037927936) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) (if (<=.f64 eps 7400) (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))) (*.f64 (pow.f64 eps 3) (neg.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -1116892707587883/72057594037927936) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) (if (<=.f64 eps 7400) (+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (*.f64 (+.f64 1/6 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (neg.f64 (pow.f64 eps 3)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -1224979098644775/72057594037927936) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) (if (<=.f64 eps 3246626956972881/147573952589676412928) (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -1936908127739503/9223372036854775808) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) (if (<=.f64 eps 6935975771714791/295147905179352825856) (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -8264141345021879/73786976294838206464) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) (if (<=.f64 eps 8264141345021879/590295810358705651712) (*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -2833419889721787/2361183241434822606848) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (if (<=.f64 eps 700976274800963/36893488147419103232) (*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -2184094498327211/590295810358705651712) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (if (<=.f64 eps 3984496719921263/295147905179352825856) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(if (<=.f64 eps -520000000000000000000) (+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) (if (<=.f64 eps 7400) eps (+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)))) |
(if (<=.f64 eps -2499999999999999908974073741312) (-.f64 (tan.f64 (+.f64 x eps)) x) (if (<=.f64 eps 7366891713276647/9444732965739290427392) (sin.f64 eps) (-.f64 (tan.f64 (+.f64 x eps)) x))) |
(sin.f64 eps) |
eps |
| Outputs |
|---|
(if (<=.f64 eps -662929865148937/72057594037927936) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) (if (<=.f64 eps 7400) (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))) (*.f64 (pow.f64 eps 3) (neg.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -1116892707587883/72057594037927936) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) (if (<=.f64 eps 7400) (+.f64 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (*.f64 (+.f64 1/6 (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (neg.f64 (pow.f64 eps 3)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -1224979098644775/72057594037927936) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) (if (<=.f64 eps 3246626956972881/147573952589676412928) (+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -1936908127739503/9223372036854775808) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) (if (<=.f64 eps 6935975771714791/295147905179352825856) (*.f64 (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (+.f64 eps (neg.f64 (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -8264141345021879/73786976294838206464) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) (if (<=.f64 eps 8264141345021879/590295810358705651712) (*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -2833419889721787/2361183241434822606848) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (if (<=.f64 eps 700976274800963/36893488147419103232) (*.f64 eps (-.f64 (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) -1)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(if (<=.f64 eps -2184094498327211/590295810358705651712) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (if (<=.f64 eps 3984496719921263/295147905179352825856) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(if (<=.f64 eps -520000000000000000000) (+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)) (if (<=.f64 eps 7400) eps (+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1)))) |
(if (<=.f64 eps -2499999999999999908974073741312) (-.f64 (tan.f64 (+.f64 x eps)) x) (if (<=.f64 eps 7366891713276647/9444732965739290427392) (sin.f64 eps) (-.f64 (tan.f64 (+.f64 x eps)) x))) |
(sin.f64 eps) |
eps |
Compiled 532 to 336 computations (36.8% saved)
| 2× | egg-herbie |
| 1722× | rational.json-simplify-35 |
| 1548× | rational.json-simplify-51 |
| 1514× | rational.json-simplify-35 |
| 1402× | rational.json-simplify-53 |
| 1266× | rational.json-simplify-2 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 8355 |
| 1 | 964 | 8093 |
| 2 | 2624 | 7631 |
| 3 | 4861 | 7533 |
| 4 | 7393 | 7533 |
| 0 | 299 | 5835 |
| 1 | 698 | 5495 |
| 2 | 1675 | 5159 |
| 3 | 3497 | 5061 |
| 4 | 5722 | 5061 |
| 5 | 7182 | 5061 |
| 1× | node limit |
| 1× | node limit |
Compiled 686 to 453 computations (34% saved)
Compiled 510 to 241 computations (52.7% saved)
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