Time bar (total: 8.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 75% | 0% | 0% | 25% | 0% | 3 |
| 40% | 25% | 37.5% | 0% | 0% | 37.5% | 0% | 4 |
| 66.7% | 37.5% | 18.7% | 0% | 0% | 43.7% | 0% | 5 |
| 82.4% | 43.7% | 9.4% | 0% | 0% | 46.9% | 0% | 6 |
| 90.9% | 46.9% | 4.7% | 0% | 0% | 48.4% | 0% | 7 |
| 95.4% | 48.4% | 2.3% | 0% | 0% | 49.2% | 0% | 8 |
| 97.7% | 49.2% | 1.2% | 0% | 0% | 49.6% | 0% | 9 |
| 98.8% | 49.6% | 0.6% | 0% | 0% | 49.8% | 0% | 10 |
| 99.4% | 49.8% | 0.3% | 0% | 0% | 49.9% | 0% | 11 |
| 99.7% | 49.9% | 0.1% | 0% | 0% | 49.9% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 1.1s | 8256× | body | 256 | valid |
| 1.0ms | 12× | body | 256 | invalid |
| 2× | egg-herbie |
| 2108× | rational.json-simplify-35 |
| 850× | rational.json-simplify-51 |
| 848× | rational.json-simplify-2 |
| 800× | rational.json-simplify-1 |
| 754× | rational.json-simplify-48 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 19 | 33 |
| 2 | 29 | 33 |
| 3 | 59 | 33 |
| 4 | 140 | 33 |
| 5 | 410 | 33 |
| 6 | 690 | 33 |
| 7 | 1503 | 33 |
| 8 | 2846 | 33 |
| 9 | 4838 | 33 |
| 10 | 7351 | 33 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 2108× | rational.json-simplify-35 |
| 850× | rational.json-simplify-51 |
| 848× | rational.json-simplify-2 |
| 800× | rational.json-simplify-1 |
| 754× | rational.json-simplify-48 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 19 | 33 |
| 2 | 29 | 33 |
| 3 | 59 | 33 |
| 4 | 140 | 33 |
| 5 | 410 | 33 |
| 6 | 690 | 33 |
| 7 | 1503 | 33 |
| 8 | 2846 | 33 |
| 9 | 4838 | 33 |
| 10 | 7351 | 33 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))) |
Compiled 23 to 19 computations (17.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
Compiled 12 to 10 computations (16.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| ✓ | 0.0b | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| ✓ | 0.0b | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
Compiled 45 to 34 computations (24.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 0.0ms | x | @ | -inf | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 1398× | rational.json-1 |
| 1398× | rational.json-2 |
| 1398× | rational.json-4 |
| 1398× | rational.json-3 |
| 1390× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 69 |
| 1 | 77 | 69 |
| 2 | 192 | 69 |
| 3 | 435 | 69 |
| 4 | 1038 | 69 |
| 5 | 3854 | 69 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (-.f64 1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 1 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (/.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) 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((x *.f64 (/.f64 (+.f64 1 x) (*.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 1 x) 8)) (*.f64 (-.f64 1 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (-.f64 -1 x))) (+.f64 x (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1))))) |
| 1× | egg-herbie |
| 1012× | rational.json-simplify-35 |
| 990× | rational.json-simplify-44 |
| 930× | rational.json-simplify-41 |
| 922× | rational.json-simplify-51 |
| 906× | rational.json-simplify-47 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 4959 |
| 1 | 630 | 4729 |
| 2 | 1563 | 4495 |
| 3 | 5477 | 4275 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0) |
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 x) (-.f64 -1 x)))) |
(+.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x)))) |
(-.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0) |
(-.f64 0 (/.f64 (-.f64 1 x) (-.f64 -1 x))) |
(-.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (/.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)) 2)) |
(-.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x)))) |
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 -1 (-.f64 -1 x))) |
(*.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 2 (/.f64 -1 (-.f64 -1 x))))) |
(*.f64 (-.f64 1 x) (*.f64 1/2 (/.f64 2 (+.f64 1 x)))) |
(*.f64 (+.f64 1 x) (/.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) |
(*.f64 -1 (/.f64 (-.f64 1 x) (-.f64 -1 x))) |
(*.f64 (-.f64 (-.f64 2 x) x) (/.f64 -1/2 (-.f64 -1 x))) |
(*.f64 2 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x)))) |
(*.f64 4 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) 4))) |
(*.f64 4 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4)) |
(*.f64 (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x))) 1/2) |
(*.f64 (*.f64 (-.f64 1 x) 4) (/.f64 (/.f64 -1/2 (-.f64 -1 x)) 2)) |
(*.f64 (*.f64 (-.f64 1 x) 4) (*.f64 (/.f64 -1 (-.f64 -1 x)) 1/4)) |
(*.f64 (*.f64 (-.f64 1 x) 4) (*.f64 (/.f64 -1/2 (-.f64 -1 x)) 1/2)) |
(*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x)) |
(*.f64 (/.f64 -1 (-.f64 -1 x)) (/.f64 1 (/.f64 1 (-.f64 1 x)))) |
(*.f64 (+.f64 x -1) (/.f64 1 (-.f64 -1 x))) |
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 1 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) |
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 2 (*.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))))) |
(*.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) (/.f64 1 (*.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))))) |
(*.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) (/.f64 1/2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4) 1/4) |
(*.f64 (*.f64 (-.f64 1 x) 8) (/.f64 1 (*.f64 (+.f64 1 x) 8))) |
(*.f64 (+.f64 x (+.f64 x -2)) (/.f64 1/2 (-.f64 -1 x))) |
(*.f64 (+.f64 x (+.f64 x -2)) (/.f64 1 (*.f64 2 (-.f64 -1 x)))) |
(*.f64 (/.f64 -1/2 (-.f64 -1 x)) (-.f64 (-.f64 2 x) x)) |
(*.f64 1/2 (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x)))) |
(*.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) |
(*.f64 (*.f64 2 (/.f64 -1 (-.f64 -1 x))) (*.f64 (-.f64 1 x) 1/2)) |
(*.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)) -1) |
(*.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) 2) |
(*.f64 (/.f64 1/2 (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 2)) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) |
(*.f64 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x))) (/.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) |
(*.f64 (/.f64 2 (+.f64 1 x)) (*.f64 (-.f64 1 x) 1/2)) |
(*.f64 (/.f64 2 (-.f64 1 x)) (/.f64 (+.f64 1 x) (*.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))))) |
(*.f64 (/.f64 (/.f64 -1/2 (-.f64 -1 x)) 2) (*.f64 (-.f64 1 x) 4)) |
(*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)) |
(*.f64 (*.f64 (-.f64 1 x) 1/2) (*.f64 2 (/.f64 -1 (-.f64 -1 x)))) |
(*.f64 (*.f64 (-.f64 1 x) 1/2) (/.f64 2 (+.f64 1 x))) |
(*.f64 1/4 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4)) |
(*.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -1 x) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) |
(*.f64 (*.f64 (/.f64 -1 (-.f64 -1 x)) 1/4) (*.f64 (-.f64 1 x) 4)) |
(*.f64 (*.f64 (/.f64 -1/2 (-.f64 -1 x)) 1/2) (*.f64 (-.f64 1 x) 4)) |
(*.f64 (*.f64 1/2 (*.f64 2 (/.f64 -1 (-.f64 -1 x)))) (-.f64 1 x)) |
(*.f64 (*.f64 1/2 (/.f64 2 (+.f64 1 x))) (-.f64 1 x)) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(*.f64 (/.f64 (+.f64 x (+.f64 x 2)) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))) (/.f64 1/2 (-.f64 1 x))) |
(*.f64 (/.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))) (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x)))) |
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 x))) (/.f64 -1 (-.f64 -1 x))) |
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))) (/.f64 1 (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 -1 x) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))) (/.f64 1 (+.f64 x -1))) |
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))) (+.f64 1 x)) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x)))) |
(*.f64 (/.f64 2 (*.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) 4)) 4) |
(*.f64 (/.f64 1/2 (-.f64 -1 x)) (+.f64 x (+.f64 x -2))) |
(*.f64 (/.f64 1/2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))) (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x)))) |
(*.f64 (/.f64 (+.f64 1 x) (*.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) (/.f64 2 (-.f64 1 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4) 4) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 x) 8)) (*.f64 (-.f64 1 x) 8)) |
(*.f64 (/.f64 1 (*.f64 2 (-.f64 -1 x))) (+.f64 x (+.f64 x -2))) |
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) |
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) |
(neg.f64 (/.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) |
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 0) |
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2)) |
(-.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 0) |
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
(*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2)) |
(*.f64 4 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4)) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 1/4) |
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)) |
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4)) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2) 2) |
(*.f64 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 4) |
(/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 2) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4)) 8) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))) 16) |
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 0) |
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2)) |
(-.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 0) |
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) |
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) |
(*.f64 4 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 1/4) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) |
(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) 2) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 4) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 2) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4)) 8) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4))) 16) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -2 (+.f64 (pow.f64 x 3) x)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (*.f64 2 (/.f64 1 x)) -1) |
(+.f64 -1 (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))) |
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (*.f64 2 (/.f64 1 x)) -1) |
(+.f64 -1 (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))) |
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (*.f64 x -1)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 x -1) (*.f64 (pow.f64 x 2) 1/2))) |
(+.f64 (neg.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
(+.f64 1 (+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) 1/2))) |
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) |
(+.f64 1 (+.f64 (+.f64 (*.f64 x -1) (*.f64 (pow.f64 x 2) 1/2)) (*.f64 (pow.f64 x 3) -1/2))) |
(+.f64 1 (+.f64 (neg.f64 x) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (*.f64 (pow.f64 x 3) -1/2)))) |
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 (*.f64 (pow.f64 x 3) -1/2) (-.f64 1 x))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) 1))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))) |
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -2) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))) |
(sqrt.f64 -1) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) |
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))) |
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (*.f64 1/2 (/.f64 (/.f64 5 (sqrt.f64 -1)) (pow.f64 x 3))))) |
(+.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 (/.f64 5 (sqrt.f64 -1)) (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 5 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 5 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))) |
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 x) (-.f64 -1 x)))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(+.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x)))) |
(+.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 (+.f64 1 x))) (*.f64 (-.f64 1 x) (/.f64 1/2 (+.f64 1 x)))) |
(*.f64 (/.f64 1/2 (+.f64 1 x)) (+.f64 (-.f64 1 x) (-.f64 1 x))) |
(*.f64 2 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x)))) |
(*.f64 -2 (*.f64 (+.f64 x -1) (/.f64 -1/2 (-.f64 -1 x)))) |
(-.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(-.f64 0 (/.f64 (-.f64 1 x) (-.f64 -1 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(-.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (/.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)) 2)) |
(-.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 (+.f64 1 x))) (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x)))) |
(-.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x)))) |
(-.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x)))) |
(-.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 (+.f64 1 x))) (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x)))) |
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(*.f64 (-.f64 1 x) (/.f64 -1 (-.f64 -1 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(*.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 2 (/.f64 -1 (-.f64 -1 x))))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(*.f64 (-.f64 1 x) (*.f64 1/2 (/.f64 2 (+.f64 1 x)))) |
(*.f64 1/2 (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x)))) |
(*.f64 1/2 (*.f64 (-.f64 1 x) (/.f64 -2 (-.f64 -1 x)))) |
(*.f64 (+.f64 1 x) (/.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) |
(*.f64 (+.f64 1 x) (/.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (*.f64 (-.f64 1 x) (-.f64 1 x)))))) |
(*.f64 (+.f64 1 x) (/.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 1 x) (-.f64 1 x))) (-.f64 1 x)))) |
(*.f64 (+.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) |
(*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) (+.f64 1 x))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(*.f64 -1 (/.f64 (-.f64 1 x) (-.f64 -1 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(*.f64 (-.f64 (-.f64 2 x) x) (/.f64 -1/2 (-.f64 -1 x))) |
(*.f64 (/.f64 1/2 (+.f64 1 x)) (-.f64 (-.f64 2 x) x)) |
(*.f64 (/.f64 -1/2 (-.f64 -1 x)) (-.f64 (-.f64 2 x) x)) |
(*.f64 2 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x)))) |
(+.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 (+.f64 1 x))) (*.f64 (-.f64 1 x) (/.f64 1/2 (+.f64 1 x)))) |
(*.f64 (/.f64 1/2 (+.f64 1 x)) (+.f64 (-.f64 1 x) (-.f64 1 x))) |
(*.f64 -2 (*.f64 (+.f64 x -1) (/.f64 -1/2 (-.f64 -1 x)))) |
(*.f64 4 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) 4))) |
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(*.f64 (+.f64 1 x) (*.f64 (/.f64 (/.f64 -1/2 (-.f64 -1 x)) (/.f64 (-.f64 -1 x) (*.f64 (-.f64 1 x) (+.f64 x -1)))) (/.f64 -2 (+.f64 x -1)))) |
(*.f64 (/.f64 (+.f64 1 x) (*.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) (/.f64 2 (-.f64 1 x))) |
(*.f64 (/.f64 -2 (-.f64 x 1)) (/.f64 (+.f64 1 x) (*.f64 2 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (*.f64 (-.f64 1 x) (-.f64 1 x))))))) |
(*.f64 (/.f64 -2 (+.f64 x -1)) (/.f64 (+.f64 1 x) (*.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 1 x) (-.f64 1 x))) (*.f64 (+.f64 1 x) 2)))) |
(*.f64 (/.f64 -2 (+.f64 x -1)) (/.f64 (-.f64 1 x) (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))) |
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2)) (/.f64 -2 (+.f64 x -1))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4) 4) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 x) 8)) (*.f64 (-.f64 1 x) 8)) |
(*.f64 (*.f64 (-.f64 1 x) 8) (/.f64 1 (*.f64 (+.f64 1 x) 8))) |
(*.f64 8 (*.f64 (/.f64 1/8 (+.f64 1 x)) (-.f64 1 x))) |
(*.f64 8 (*.f64 (-.f64 1 x) (/.f64 -1/8 (-.f64 -1 x)))) |
(*.f64 (*.f64 (-.f64 1 x) 8) (/.f64 -1/8 (-.f64 -1 x))) |
(*.f64 (/.f64 1 (*.f64 2 (-.f64 -1 x))) (+.f64 x (+.f64 x -2))) |
(*.f64 (+.f64 x (+.f64 -2 x)) (/.f64 -1/2 (+.f64 1 x))) |
(*.f64 (+.f64 -2 (+.f64 x x)) (/.f64 1/2 (-.f64 -1 x))) |
(*.f64 (/.f64 1/2 (-.f64 -1 x)) (+.f64 -2 (+.f64 x x))) |
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(neg.f64 (/.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 0) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2)) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(-.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 0) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2)) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(*.f64 4 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4)) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 1/4) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4)) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2) 2) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(*.f64 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 4) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 2) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 4) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4)) 8) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))) 16) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))) |
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 0) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2)) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(-.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 0) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2)) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(*.f64 4 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4)) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 1/4) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4)) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) 2) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 4) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 2) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 4) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4)) 8) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4))) 16) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
Compiled 4124 to 3533 computations (14.3% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 203 | 3 | 206 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 203 | 4 | 207 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ▶ | 0b | (*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x))))))) |
| ▶ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))))) |
Compiled 61 to 50 computations (18% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))) |
| ✓ | 0.0b | (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))) |
| ✓ | 0.0b | (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)) |
| ✓ | 0.0b | (/.f64 1 (-.f64 -1 x)) |
Compiled 59 to 47 computations (20.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 -1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 -1 x)) |
| 0.0ms | x | @ | -inf | (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))) |
| 1× | batch-egg-rewrite |
| 1514× | rational.json-1 |
| 1514× | rational.json-2 |
| 1514× | rational.json-3 |
| 1512× | rational.json-4 |
| 1494× | exponential.json-3 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 100 |
| 1 | 93 | 82 |
| 2 | 202 | 82 |
| 3 | 410 | 82 |
| 4 | 891 | 82 |
| 5 | 2777 | 82 |
| 6 | 6647 | 82 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (-.f64 -1 x)) |
(*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)) |
(atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))) |
(sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8)) (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2) (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1))))) |
| 1× | egg-herbie |
| 1938× | rational.json-simplify-35 |
| 1130× | rational.json-simplify-50 |
| 1098× | rational.json-simplify-2 |
| 910× | rational.json-simplify-46 |
| 908× | rational.json-simplify-1 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 4759 |
| 1 | 945 | 4585 |
| 2 | 2658 | 4489 |
| 3 | 5867 | 4465 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 x 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1) |
(/.f64 -1 x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(/.f64 -1 x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1))))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1))))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1))))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1))))) |
(pow.f64 (sqrt.f64 -1) 2) |
(+.f64 (pow.f64 (sqrt.f64 -1) 2) x) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x)) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))) |
(+.f64 (/.f64 1 (-.f64 -1 x)) 0) |
(+.f64 0 (/.f64 1 (-.f64 -1 x))) |
(+.f64 (/.f64 1/2 (-.f64 -1 x)) (/.f64 1/2 (-.f64 -1 x))) |
(-.f64 (/.f64 1 (-.f64 -1 x)) 0) |
(*.f64 1 (/.f64 1 (-.f64 -1 x))) |
(*.f64 -1 (/.f64 (+.f64 1 x) (*.f64 (-.f64 -1 x) (-.f64 -1 x)))) |
(*.f64 (-.f64 -1 x) (/.f64 1 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))) |
(*.f64 (/.f64 1 (-.f64 -1 x)) 1) |
(*.f64 2 (/.f64 1/2 (-.f64 -1 x))) |
(*.f64 (*.f64 (-.f64 -1 x) 2) (/.f64 1/2 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))) |
(*.f64 4 (/.f64 (/.f64 1 (-.f64 -1 x)) 4)) |
(*.f64 (/.f64 2 (-.f64 -1 x)) 1/2) |
(*.f64 (/.f64 4 (-.f64 -1 x)) 1/4) |
(*.f64 1/2 (/.f64 2 (-.f64 -1 x))) |
(*.f64 (/.f64 1/2 (-.f64 -1 x)) 2) |
(*.f64 1/4 (/.f64 4 (-.f64 -1 x))) |
(*.f64 (*.f64 (-.f64 -1 x) 1/2) (/.f64 (/.f64 2 (-.f64 -1 x)) (-.f64 -1 x))) |
(*.f64 (/.f64 1 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (-.f64 -1 x)) |
(*.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) (-.f64 -1 x)) (*.f64 (-.f64 -1 x) 1/2)) |
(*.f64 (/.f64 (/.f64 1 (-.f64 -1 x)) 4) 4) |
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 -1 x) (-.f64 -1 x))) -1) |
(*.f64 (/.f64 1/2 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (*.f64 (-.f64 -1 x) 2)) |
(pow.f64 (/.f64 1 (-.f64 -1 x)) 1) |
(neg.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 -1 x) (-.f64 -1 x)))) |
(neg.f64 (/.f64 1 (+.f64 1 x))) |
(+.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 0) |
(+.f64 0 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) |
(+.f64 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))) (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x)))) |
(-.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 0) |
(/.f64 1 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) |
(/.f64 -1 (/.f64 (-.f64 -1 x) (-.f64 1 x))) |
(/.f64 -1 (neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) |
(/.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 (+.f64 -1 x))) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(/.f64 (+.f64 -1 x) (/.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))) |
(/.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1) |
(/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))) |
(/.f64 4 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x))) |
(/.f64 4 (/.f64 (*.f64 (+.f64 1 x) 4) (-.f64 1 x))) |
(/.f64 (+.f64 x (+.f64 x -2)) (*.f64 (-.f64 -1 x) 2)) |
(/.f64 (*.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x))) 2) |
(/.f64 -2 (/.f64 (*.f64 (-.f64 -1 x) 2) (-.f64 1 x))) |
(/.f64 -2 (neg.f64 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))) |
(/.f64 -2 (+.f64 (/.f64 (-.f64 -1 x) (-.f64 1 x)) (/.f64 (-.f64 -1 x) (-.f64 1 x)))) |
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) |
(/.f64 (/.f64 2 (-.f64 -1 x)) (/.f64 2 (+.f64 -1 x))) |
(/.f64 8 (*.f64 2 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x)))) |
(/.f64 8 (/.f64 (*.f64 (-.f64 -1 x) 8) (+.f64 -1 x))) |
(/.f64 8 (+.f64 (/.f64 (*.f64 (+.f64 1 x) 4) (-.f64 1 x)) (/.f64 (*.f64 (+.f64 1 x) 4) (-.f64 1 x)))) |
(/.f64 (*.f64 (+.f64 -1 x) (/.f64 4 (-.f64 -1 x))) 4) |
(/.f64 (*.f64 (+.f64 -1 x) 4) (*.f64 (-.f64 -1 x) 4)) |
(/.f64 -4 (+.f64 (/.f64 (*.f64 (-.f64 -1 x) 2) (-.f64 1 x)) (/.f64 (*.f64 (-.f64 -1 x) 2) (-.f64 1 x)))) |
(/.f64 -4 (+.f64 (neg.f64 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))) (neg.f64 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))))) |
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x)))) |
(/.f64 (/.f64 4 (-.f64 -1 x)) (+.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 2 (+.f64 -1 x)))) |
(/.f64 1/2 (/.f64 (*.f64 (-.f64 -1 x) 1/2) (+.f64 -1 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (*.f64 (-.f64 -1 x) (/.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (+.f64 -1 x)))) |
(/.f64 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))) (*.f64 (-.f64 -1 x) (*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (-.f64 -1 x) (+.f64 -1 x))))) |
(/.f64 (*.f64 (+.f64 -1 x) 8) (*.f64 (-.f64 -1 x) 8)) |
(/.f64 16 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x))) (*.f64 2 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x))))) |
(/.f64 16 (+.f64 (/.f64 (*.f64 (-.f64 -1 x) 8) (+.f64 -1 x)) (/.f64 (*.f64 (-.f64 -1 x) 8) (+.f64 -1 x)))) |
(/.f64 (*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 8) 8) |
(/.f64 (*.f64 (+.f64 -1 x) -2) (+.f64 2 (+.f64 x x))) |
(/.f64 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x)) (*.f64 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))) (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))) |
(/.f64 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x)) (+.f64 (*.f64 (-.f64 -1 x) (*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (*.f64 (-.f64 -1 x) (*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))) |
(/.f64 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))) 1/2) |
(/.f64 (*.f64 (+.f64 -1 x) 1/2) (*.f64 (-.f64 -1 x) 1/2)) |
(/.f64 (*.f64 (+.f64 -1 x) 1/2) (/.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 (-.f64 -1 x) 2))) |
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 x) 8)) (*.f64 2 (*.f64 (-.f64 -1 x) 8))) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 x) -2)) (*.f64 (+.f64 1 x) 4)) |
(/.f64 -1/2 (-.f64 0 (/.f64 (*.f64 (-.f64 -1 x) 1/2) (+.f64 -1 x)))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1 x) 8) (-.f64 -1 x)) 8) |
(/.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)) -1) |
(/.f64 (neg.f64 (*.f64 (+.f64 -1 x) 8)) (neg.f64 (*.f64 (-.f64 -1 x) 8))) |
(/.f64 (/.f64 (+.f64 -1 x) (*.f64 (-.f64 -1 x) 4)) 1/4) |
(/.f64 (neg.f64 (*.f64 (+.f64 -1 x) 4)) (neg.f64 (*.f64 (-.f64 -1 x) 4))) |
(/.f64 (neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (-.f64 0 (*.f64 (-.f64 -1 x) (/.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (+.f64 -1 x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 -1 x) -2)) (*.f64 (-.f64 -1 x) 2)) |
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 -1 x) 4)) (neg.f64 (*.f64 (+.f64 -1 x) 4))) (*.f64 2 (neg.f64 (*.f64 (-.f64 -1 x) 4)))) |
(/.f64 (+.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)) (/.f64 (+.f64 -1 x) (+.f64 1 x))) -2) |
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 -1 x) 8) (-.f64 -1 x)) (/.f64 (*.f64 (+.f64 -1 x) 8) (-.f64 -1 x))) 16) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) -2)) (*.f64 2 (*.f64 (+.f64 -1 x) -2))) (*.f64 (+.f64 2 (+.f64 x x)) 4)) |
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 -1 x) -2)) (neg.f64 (*.f64 (+.f64 -1 x) -2))) (*.f64 (-.f64 -1 x) 4)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 8)) (*.f64 2 (*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 8))) 32) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 -1 x) 4))) (*.f64 (-.f64 -1 x) 4)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 -1 x) 4))) (-.f64 0 (neg.f64 (*.f64 (-.f64 -1 x) 4)))) |
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 x))) (-.f64 0 (/.f64 2 (+.f64 -1 x)))) |
(/.f64 (neg.f64 (*.f64 2 (*.f64 (+.f64 -1 x) -2))) (neg.f64 (*.f64 (+.f64 1 x) 4))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 -1 x) -2))) (+.f64 2 (+.f64 x x))) |
(/.f64 (neg.f64 (/.f64 1 (-.f64 -1 x))) (-.f64 0 (/.f64 1 (+.f64 -1 x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 -1 x) 1/2)) (-.f64 0 (*.f64 (-.f64 -1 x) 1/2))) |
(pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1) |
(neg.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x))) |
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 0) |
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) |
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2)) |
(-.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 0) |
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) |
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1) |
(*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2)) |
(*.f64 4 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4)) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2) 1/2) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4) 1/4) |
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2)) |
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4)) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2) 2) |
(*.f64 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4) 4) |
(/.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2) 2) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4) 4) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8)) 16) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8)) (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8))) 32) |
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1) |
(+.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 0) |
(+.f64 0 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2) (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2)) |
(-.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 0) |
(*.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1) |
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 1/2) |
(*.f64 4 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4) 1/4) |
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2) 2) |
(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4) 4) |
(/.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 2) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4) 4) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8)) 16) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8))) 32) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1) |
| Outputs |
|---|
-1 |
(-.f64 x 1) |
(+.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1) |
(+.f64 x (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)) |
(+.f64 -1 (+.f64 x (neg.f64 (pow.f64 x 2)))) |
(+.f64 x (-.f64 -1 (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1) |
(+.f64 (+.f64 x (pow.f64 x 3)) (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)) |
(+.f64 -1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3)))) |
(+.f64 x (+.f64 (pow.f64 x 3) (-.f64 -1 (pow.f64 x 2)))) |
(/.f64 -1 x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(/.f64 -1 x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 1 (*.f64 x -2)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 1 (+.f64 (*.f64 x -2) (*.f64 2 (pow.f64 x 2)))) |
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(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) -2)) (*.f64 2 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -2 (+.f64 x (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (+.f64 x (pow.f64 x 3)) -2))) |
(+.f64 (*.f64 (+.f64 x (pow.f64 x 3)) -2) (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (*.f64 2 (/.f64 1 x)) -1) |
(+.f64 -1 (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (*.f64 2 (/.f64 1 x)) -1) |
(+.f64 -1 (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
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(-.f64 (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1))))) |
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(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x))))) |
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1))))) |
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1))))) |
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1))))) |
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1))))) |
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1))))) |
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) |
(pow.f64 (sqrt.f64 -1) 2) |
1 |
(+.f64 (pow.f64 (sqrt.f64 -1) 2) x) |
(+.f64 x 1) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x)) |
(+.f64 1 (+.f64 x (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) -1/2)))) |
(+.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1/2)))) |
(+.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) (*.f64 -1/2 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)))))) |
(+.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (*.f64 -1/2 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)))))) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(+.f64 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) 1))) (*.f64 (pow.f64 x 3) 1/2)) (+.f64 1 (+.f64 x (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) -1/2))))) |
(+.f64 (+.f64 x 1) (+.f64 (*.f64 (pow.f64 x 3) (*.f64 1/2 (-.f64 2 (neg.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)))))) (*.f64 (pow.f64 x 2) (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1/2)))) |
(+.f64 x (+.f64 (+.f64 1 (*.f64 (pow.f64 x 2) (*.f64 -1/2 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2))))) (*.f64 (pow.f64 x 3) (*.f64 1/2 (-.f64 2 (neg.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)))))))) |
(+.f64 x (+.f64 (*.f64 (pow.f64 x 3) (*.f64 1/2 (-.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -2))) (+.f64 1 (*.f64 (pow.f64 x 2) (*.f64 -1/2 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2))))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (-.f64 -1 x)) 0) |
(/.f64 -1 (+.f64 x 1)) |
(+.f64 0 (/.f64 1 (-.f64 -1 x))) |
(/.f64 -1 (+.f64 x 1)) |
(+.f64 (/.f64 1/2 (-.f64 -1 x)) (/.f64 1/2 (-.f64 -1 x))) |
(/.f64 -1 (+.f64 x 1)) |
(-.f64 (/.f64 1 (-.f64 -1 x)) 0) |
(/.f64 -1 (+.f64 x 1)) |
(*.f64 1 (/.f64 1 (-.f64 -1 x))) |
(/.f64 -1 (+.f64 x 1)) |
(*.f64 -1 (/.f64 (+.f64 1 x) (*.f64 (-.f64 -1 x) (-.f64 -1 x)))) |
(/.f64 -1 (+.f64 x 1)) |
(*.f64 (-.f64 -1 x) (/.f64 1 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))) |
(/.f64 -1 (+.f64 x 1)) |
(*.f64 (/.f64 1 (-.f64 -1 x)) 1) |
(/.f64 -1 (+.f64 x 1)) |
(*.f64 2 (/.f64 1/2 (-.f64 -1 x))) |
(*.f64 2 (/.f64 -1/2 (+.f64 x 1))) |
(*.f64 (*.f64 (-.f64 -1 x) 2) (/.f64 1/2 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))) |
(/.f64 -1 (+.f64 x 1)) |
(*.f64 4 (/.f64 (/.f64 1 (-.f64 -1 x)) 4)) |
(*.f64 4 (/.f64 1/4 (-.f64 -1 x))) |
(*.f64 (/.f64 2 (-.f64 -1 x)) 1/2) |
(*.f64 1/2 (/.f64 -2 (+.f64 x 1))) |
(*.f64 (/.f64 4 (-.f64 -1 x)) 1/4) |
(*.f64 (/.f64 -4 (+.f64 x 1)) 1/4) |
(*.f64 1/2 (/.f64 2 (-.f64 -1 x))) |
(*.f64 1/2 (/.f64 -2 (+.f64 x 1))) |
(*.f64 (/.f64 1/2 (-.f64 -1 x)) 2) |
(*.f64 2 (/.f64 -1/2 (+.f64 x 1))) |
(*.f64 1/4 (/.f64 4 (-.f64 -1 x))) |
(*.f64 (/.f64 -4 (+.f64 x 1)) 1/4) |
(*.f64 (/.f64 4 (-.f64 -1 x)) 1/4) |
(*.f64 (*.f64 (-.f64 -1 x) 1/2) (/.f64 (/.f64 2 (-.f64 -1 x)) (-.f64 -1 x))) |
(*.f64 (-.f64 -1 x) (*.f64 1/2 (/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 -1 x)))) |
(*.f64 1/2 (*.f64 (-.f64 -1 x) (/.f64 2 (*.f64 (+.f64 x 1) (+.f64 x 1))))) |
(*.f64 (/.f64 1 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (-.f64 -1 x)) |
(/.f64 -1 (+.f64 x 1)) |
(*.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) (-.f64 -1 x)) (*.f64 (-.f64 -1 x) 1/2)) |
(*.f64 (-.f64 -1 x) (*.f64 1/2 (/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 -1 x)))) |
(*.f64 1/2 (*.f64 (-.f64 -1 x) (/.f64 2 (*.f64 (+.f64 x 1) (+.f64 x 1))))) |
(*.f64 (/.f64 (/.f64 1 (-.f64 -1 x)) 4) 4) |
(*.f64 4 (/.f64 1/4 (-.f64 -1 x))) |
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 -1 x) (-.f64 -1 x))) -1) |
(/.f64 -1 (+.f64 x 1)) |
(*.f64 (/.f64 1/2 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (*.f64 (-.f64 -1 x) 2)) |
(/.f64 -1 (+.f64 x 1)) |
(pow.f64 (/.f64 1 (-.f64 -1 x)) 1) |
(/.f64 -1 (+.f64 x 1)) |
(neg.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 -1 x) (-.f64 -1 x)))) |
(/.f64 -1 (+.f64 x 1)) |
(neg.f64 (/.f64 1 (+.f64 1 x))) |
(/.f64 -1 (+.f64 x 1)) |
(+.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 0) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(+.f64 0 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))) (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x)))) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(-.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 0) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(/.f64 1 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(/.f64 -1 (/.f64 (-.f64 -1 x) (-.f64 1 x))) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(/.f64 -1 (neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(/.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 (+.f64 -1 x))) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(/.f64 (+.f64 -1 x) (/.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(/.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(/.f64 4 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x))) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(/.f64 4 (/.f64 (*.f64 (+.f64 1 x) 4) (-.f64 1 x))) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(/.f64 (+.f64 x (+.f64 x -2)) (*.f64 (-.f64 -1 x) 2)) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
(/.f64 (*.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x))) 2) |
(/.f64 (+.f64 -1 x) (-.f64 -1 x)) |
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(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) |
(/.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1) |
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 2) |
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4) 4) |
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8) 8) |
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8)) 16) |
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8))) 32) |
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1) |
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x)))) |
| 0.0b | (/.f64 (-.f64 1 x) (+.f64 1 x)) | |
| ✓ | 0.0b | (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) |
| ✓ | 0.0b | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
Compiled 149 to 111 computations (25.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) |
| 0.0ms | x | @ | inf | (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 1 x) (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1588× | exponential.json-3 |
| 1588× | rational.json-1 |
| 1588× | rational.json-2 |
| 1588× | rational.json-4 |
| 1588× | rational.json-3 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 129 |
| 1 | 96 | 129 |
| 2 | 292 | 129 |
| 3 | 867 | 81 |
| 4 | 3839 | 81 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
(*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) |
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (+.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x 2)) (/.f64 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x 2)) (*.f64 (/.f64 -1 (+.f64 x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 x) 4) (/.f64 1 (*.f64 (-.f64 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 1 x)) (+.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 x (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) 1/2) (+.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 x) 4)) (*.f64 (+.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (+.f64 x -2))) (*.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x))) (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) 2) (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (+.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) 2) (/.f64 (*.f64 (+.f64 1 x) (+.f64 x (+.f64 x 2))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -1) (/.f64 (neg.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (+.f64 x (+.f64 x 2))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) 4) (*.f64 4 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (/.f64 2 (*.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 x) 4) (+.f64 1 x)) (/.f64 (*.f64 (+.f64 1 x) 4) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 x) 4) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (+.f64 x -1) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 x -1) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 x) (/.f64 (-.f64 1 x) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (/.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (/.f64 1 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 1 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (+.f64 1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (-.f64 -1 x) (/.f64 -1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x 2)) (/.f64 (*.f64 (-.f64 1 x) 2) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) 2) (+.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) 2) (/.f64 2 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 x) (/.f64 (+.f64 x -1) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 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(+.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x)))) (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) (*.f64 2 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) (/.f64 2 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x -2)) (*.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 x) (/.f64 (-.f64 1 x) (-.f64 1 x))) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 x) 4)) (/.f64 (*.f64 2 (*.f64 (-.f64 1 x) 4)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 x) 4)) (*.f64 2 (*.f64 (+.f64 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 x (+.f64 x -2))) (*.f64 2 (*.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (+.f64 x -1) (+.f64 1 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 (+.f64 x (+.f64 x 2)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (-.f64 1 x) (-.f64 1 x))) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 -1 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 x) 4) (+.f64 1 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (+.f64 1 x)) (/.f64 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 x) -2) (/.f64 (+.f64 x (+.f64 x -2)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 x) -2) (/.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (*.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 x) 4)) (*.f64 2 (*.f64 (-.f64 1 x) 4))) (+.f64 (*.f64 2 (*.f64 (+.f64 1 x) 4)) (*.f64 2 (*.f64 (+.f64 1 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (neg.f64 (*.f64 (-.f64 1 x) 2))) (*.f64 2 (*.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 -1 (+.f64 x -1))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (/.f64 -1 (+.f64 x -1))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 -1 (+.f64 x -1))) (+.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x (+.f64 x -2))) (neg.f64 (*.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) (/.f64 (-.f64 1 x) (+.f64 1 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (+.f64 x (+.f64 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (*.f64 (-.f64 1 x) 2)) (/.f64 1/2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (/.f64 1 (+.f64 1 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 x) 4)) (neg.f64 (*.f64 (+.f64 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 x) 2))) (+.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) (/.f64 (+.f64 x -1) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))))))) |
| 1× | egg-herbie |
| 1238× | rational.json-simplify-2 |
| 1086× | rational.json-simplify-35 |
| 964× | rational.json-simplify-61 |
| 928× | rational.json-simplify-50 |
| 910× | rational.json-simplify-44 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 311 | 4699 |
| 1 | 1083 | 4645 |
| 2 | 4850 | 4561 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 2 x) 1) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
1 |
(+.f64 1 (*.f64 -4 x)) |
(+.f64 1 (+.f64 (*.f64 -4 x) (*.f64 8 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -12 (pow.f64 x 3)) (+.f64 (*.f64 -4 x) (*.f64 8 (pow.f64 x 2))))) |
1 |
(-.f64 1 (*.f64 4 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (*.f64 4 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x)))) |
1 |
(-.f64 1 (*.f64 4 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (*.f64 4 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x)))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0) |
(+.f64 0 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 1 x) (+.f64 x -1)))) |
(-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0) |
(-.f64 0 (/.f64 (+.f64 1 x) (+.f64 x -1))) |
(*.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1))) |
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1) |
(*.f64 -1 (/.f64 (+.f64 1 x) (+.f64 x -1))) |
(*.f64 (+.f64 x (+.f64 x 2)) (/.f64 1/2 (-.f64 1 x))) |
(*.f64 (+.f64 x (+.f64 x 2)) (*.f64 (/.f64 -1 (+.f64 x -1)) 1/2)) |
(*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1))) |
(*.f64 2 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x)))) |
(*.f64 (*.f64 (+.f64 1 x) 4) (/.f64 1 (*.f64 (-.f64 1 x) 4))) |
(*.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) 1/2) |
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x)) |
(*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (/.f64 1 (+.f64 1 x)))) |
(*.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) -1) |
(*.f64 (/.f64 1/2 (-.f64 1 x)) (+.f64 x (+.f64 x 2))) |
(*.f64 (/.f64 1 (+.f64 x -1)) (-.f64 -1 x)) |
(*.f64 1/2 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x)))) |
(*.f64 (*.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 x (+.f64 x -2)))) |
(*.f64 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x))) 2) |
(*.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) 1/2) (+.f64 x (+.f64 x 2))) |
(*.f64 (/.f64 1 (/.f64 1 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1))) |
(*.f64 (/.f64 1 (*.f64 (-.f64 1 x) 4)) (*.f64 (+.f64 1 x) 4)) |
(*.f64 (/.f64 1 (+.f64 x (+.f64 x -2))) (*.f64 (+.f64 1 x) -2)) |
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1) |
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) |
(+.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 0) |
(+.f64 0 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) |
(-.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 0) |
(/.f64 1 (/.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))) (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 -1 (+.f64 x -1))) |
(/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 1) |
(/.f64 (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x))) (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x)))) |
(/.f64 (*.f64 (-.f64 1 x) 2) (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (+.f64 x (+.f64 x 2)))) |
(/.f64 (*.f64 (-.f64 1 x) 2) (/.f64 (*.f64 (+.f64 1 x) (+.f64 x (+.f64 x 2))) (-.f64 1 x))) |
(/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 x -1)))) |
(/.f64 (+.f64 x -1) (/.f64 (neg.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (-.f64 1 x))) |
(/.f64 2 (/.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (+.f64 x (+.f64 x 2))) (-.f64 1 x))) |
(/.f64 (*.f64 (-.f64 1 x) 4) (*.f64 4 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x)))) 2) |
(/.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))) |
(/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) |
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) 4) |
(/.f64 (*.f64 (-.f64 1 x) (/.f64 2 (*.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 2 (-.f64 1 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 x) 4) (+.f64 1 x)) (/.f64 (*.f64 (+.f64 1 x) 4) (-.f64 1 x))) |
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4)) 8) |
(/.f64 (/.f64 (*.f64 (-.f64 1 x) 4) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x)))) 4) |
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) |
(pow.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 1) |
(fabs.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) |
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0) |
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 x -1) (+.f64 1 x)))) |
(-.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0) |
(-.f64 0 (/.f64 (+.f64 x -1) (+.f64 1 x))) |
(/.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (+.f64 1 x) (/.f64 (-.f64 1 x) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (-.f64 1 x) (/.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(/.f64 (-.f64 1 x) (/.f64 1 (/.f64 1 (+.f64 1 x)))) |
(/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 1 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))) (-.f64 1 x))) |
(/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) |
(/.f64 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(/.f64 -1 (/.f64 (+.f64 1 x) (+.f64 x -1))) |
(/.f64 -1 (*.f64 (-.f64 -1 x) (/.f64 -1 (+.f64 x -1)))) |
(/.f64 -1 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x))) 2) |
(/.f64 (+.f64 x (+.f64 x 2)) (/.f64 (*.f64 (-.f64 1 x) 2) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (*.f64 (-.f64 1 x) 2) (+.f64 x (+.f64 x 2))) |
(/.f64 (*.f64 (-.f64 1 x) 2) (/.f64 2 (/.f64 1 (+.f64 1 x)))) |
(/.f64 (*.f64 (-.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 -1 (+.f64 x -1))) |
(/.f64 (-.f64 -1 x) (/.f64 (+.f64 x -1) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (+.f64 x -1) (/.f64 -1 (/.f64 1 (+.f64 1 x)))) |
(/.f64 2 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x)))) |
(/.f64 (*.f64 (-.f64 1 x) 4) (*.f64 (+.f64 1 x) 4)) |
(/.f64 (*.f64 (+.f64 1 x) 4) (/.f64 (*.f64 (-.f64 1 x) 4) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 4 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 4)) |
(/.f64 4 (/.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 4 (/.f64 (*.f64 (+.f64 1 x) 4) (-.f64 1 x))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4) 4) |
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x)))) (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x)))) |
(/.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) (*.f64 2 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
(/.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) (/.f64 2 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (+.f64 x (+.f64 x -2)) (*.f64 (+.f64 1 x) -2)) |
(/.f64 (*.f64 (+.f64 1 x) (/.f64 (-.f64 1 x) (-.f64 1 x))) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(/.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) |
(/.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) -1) |
(/.f64 (*.f64 2 (*.f64 (+.f64 1 x) 4)) (/.f64 (*.f64 2 (*.f64 (-.f64 1 x) 4)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (*.f64 2 (*.f64 (-.f64 1 x) 4)) (*.f64 2 (*.f64 (+.f64 1 x) 4))) |
(/.f64 (*.f64 2 (+.f64 x (+.f64 x -2))) (*.f64 2 (*.f64 (+.f64 1 x) -2))) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4)) 8) |
(/.f64 (*.f64 2 (/.f64 (+.f64 x -1) (+.f64 1 x))) -2) |
(/.f64 -2 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) |
(/.f64 -2 (/.f64 (+.f64 x (+.f64 x 2)) (+.f64 x -1))) |
(/.f64 -2 (neg.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))))) |
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4)) |
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (-.f64 1 x) (-.f64 1 x))) (/.f64 1 (+.f64 1 x))) |
(/.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 -1 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 x) 4) (+.f64 1 x)) 4) |
(/.f64 (/.f64 1/2 (+.f64 1 x)) (/.f64 1/2 (-.f64 1 x))) |
(/.f64 1/2 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x)))) |
(/.f64 (*.f64 (+.f64 1 x) -2) (/.f64 (+.f64 x (+.f64 x -2)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (*.f64 (+.f64 1 x) -2) (/.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (*.f64 (+.f64 1 x) -2)) |
(/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 x) 4)) (*.f64 2 (*.f64 (-.f64 1 x) 4))) (+.f64 (*.f64 2 (*.f64 (+.f64 1 x) 4)) (*.f64 2 (*.f64 (+.f64 1 x) 4)))) |
(/.f64 (+.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (neg.f64 (*.f64 (-.f64 1 x) 2))) (*.f64 2 (*.f64 (+.f64 1 x) -2))) |
(/.f64 (/.f64 1 (/.f64 -1 (+.f64 x -1))) (+.f64 1 x)) |
(/.f64 (/.f64 -1 (/.f64 -1 (+.f64 x -1))) (-.f64 -1 x)) |
(/.f64 (/.f64 2 (/.f64 -1 (+.f64 x -1))) (+.f64 x (+.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 x (+.f64 x -2))) (neg.f64 (*.f64 (+.f64 1 x) -2))) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) |
(/.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 (+.f64 x -1))) |
(/.f64 (/.f64 (-.f64 1 x) (+.f64 x (+.f64 x 2))) 1/2) |
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x)))) 1/2) |
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (*.f64 (-.f64 1 x) 2)) (/.f64 1/2 (+.f64 1 x))) |
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (/.f64 1 (+.f64 1 x))) (-.f64 1 x)) |
(/.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1))) |
(/.f64 (neg.f64 (*.f64 (-.f64 1 x) 4)) (neg.f64 (*.f64 (+.f64 1 x) 4))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 x) 2))) (+.f64 x (+.f64 x 2))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) (/.f64 (+.f64 x -1) (+.f64 1 x))) |
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) |
(neg.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 2 x) 1) |
(+.f64 1 (*.f64 2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)) |
(+.f64 (*.f64 2 x) (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))) |
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) x))) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (+.f64 1 (*.f64 2 x)) (*.f64 2 (pow.f64 x 3)))) |
(+.f64 (+.f64 1 (*.f64 2 x)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 2 (+.f64 (pow.f64 x 2) x)) (*.f64 2 (pow.f64 x 3)))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 -1 (*.f64 2 (/.f64 1 x))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))) |
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (-.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) -1))) |
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 -1 (*.f64 2 (/.f64 1 x))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))) |
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (-.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) -1))) |
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))) |
1 |
(+.f64 1 (*.f64 -4 x)) |
(+.f64 1 (*.f64 x -4)) |
(+.f64 1 (+.f64 (*.f64 -4 x) (*.f64 8 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 x -4) (*.f64 (pow.f64 x 2) 8))) |
(+.f64 1 (+.f64 (*.f64 -12 (pow.f64 x 3)) (+.f64 (*.f64 -4 x) (*.f64 8 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (*.f64 x -4) (+.f64 (*.f64 (pow.f64 x 2) 8) (*.f64 (pow.f64 x 3) -12)))) |
(+.f64 (+.f64 (*.f64 x -4) (*.f64 (pow.f64 x 2) 8)) (-.f64 (*.f64 (pow.f64 x 3) -12) -1)) |
(+.f64 (*.f64 (pow.f64 x 2) 8) (+.f64 (+.f64 1 (*.f64 x -4)) (*.f64 (pow.f64 x 3) -12))) |
1 |
(-.f64 1 (*.f64 4 (/.f64 1 x))) |
(-.f64 1 (*.f64 (/.f64 1 x) 4)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (*.f64 4 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 8) (*.f64 (/.f64 1 x) 4))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 8) (+.f64 (*.f64 (/.f64 1 x) 4) (*.f64 (/.f64 1 (pow.f64 x 3)) 12)))) |
1 |
(-.f64 1 (*.f64 4 (/.f64 1 x))) |
(-.f64 1 (*.f64 (/.f64 1 x) 4)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (*.f64 4 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 8) (*.f64 (/.f64 1 x) 4))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 8) (+.f64 (*.f64 (/.f64 1 x) 4) (*.f64 (/.f64 1 (pow.f64 x 3)) 12)))) |
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 1 (*.f64 x -2)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 1 (+.f64 (*.f64 x -2) (*.f64 2 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x -2))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) -2)) (*.f64 2 (pow.f64 x 2)))) |
(+.f64 (*.f64 -2 (+.f64 (pow.f64 x 3) x)) (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
(+.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (*.f64 2 (/.f64 1 x)) -1) |
(+.f64 -1 (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))) |
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (*.f64 2 (/.f64 1 x)) -1) |
(+.f64 -1 (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))) |
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))) |
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0) |
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
(+.f64 0 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 1 x) (+.f64 x -1)))) |
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
(-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0) |
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
(-.f64 0 (/.f64 (+.f64 1 x) (+.f64 x -1))) |
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
(*.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1))) |
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x))) |
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1) |
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
(*.f64 -1 (/.f64 (+.f64 1 x) (+.f64 x -1))) |
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
(*.f64 (+.f64 x (+.f64 x 2)) (/.f64 1/2 (-.f64 1 x))) |
(*.f64 (+.f64 x (+.f64 2 x)) (/.f64 1/2 (-.f64 1 x))) |
(*.f64 (+.f64 2 (+.f64 x x)) (/.f64 1/2 (-.f64 1 x))) |
(*.f64 (+.f64 1 x) (*.f64 2 (/.f64 1/2 (-.f64 1 x)))) |
(*.f64 (+.f64 x (+.f64 x 2)) (*.f64 (/.f64 -1 (+.f64 x -1)) 1/2)) |
(*.f64 (/.f64 -1 (+.f64 x -1)) (*.f64 1/2 (+.f64 x (+.f64 2 x)))) |
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (+.f64 2 (+.f64 x x)) 1/2)) |
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 1/2 (+.f64 2 (+.f64 x x)))) |
(*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1))) |
(*.f64 (/.f64 1 (+.f64 x -1)) (-.f64 -1 x)) |
(*.f64 2 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x)))) |
(*.f64 (+.f64 x (+.f64 2 x)) (/.f64 1/2 (-.f64 1 x))) |
(*.f64 (+.f64 2 (+.f64 x x)) (/.f64 1/2 (-.f64 1 x))) |
(*.f64 (+.f64 1 x) (*.f64 2 (/.f64 1/2 (-.f64 1 x)))) |
(*.f64 (*.f64 (+.f64 1 x) 4) (/.f64 1 (*.f64 (-.f64 1 x) 4))) |
(*.f64 (+.f64 1 x) (*.f64 4 (/.f64 (/.f64 1 (-.f64 1 x)) 4))) |
(*.f64 4 (*.f64 (/.f64 1/4 (-.f64 1 x)) (+.f64 1 x))) |
(*.f64 4 (*.f64 (+.f64 1 x) (/.f64 1/4 (-.f64 1 x)))) |
(*.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) 1/2) |
(*.f64 (+.f64 1 x) (*.f64 (/.f64 2 (-.f64 1 x)) 1/2)) |
(*.f64 (+.f64 1 x) (*.f64 1/2 (/.f64 2 (-.f64 1 x)))) |
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x)) |
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1))) |
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x))) |
(*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (/.f64 1 (+.f64 1 x)))) |
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1))) |
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x))) |
(*.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) -1) |
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
(*.f64 (/.f64 1/2 (-.f64 1 x)) (+.f64 x (+.f64 x 2))) |
(*.f64 (+.f64 x (+.f64 2 x)) (/.f64 1/2 (-.f64 1 x))) |
(*.f64 (+.f64 2 (+.f64 x x)) (/.f64 1/2 (-.f64 1 x))) |
(*.f64 (+.f64 1 x) (*.f64 2 (/.f64 1/2 (-.f64 1 x)))) |
(*.f64 (/.f64 1 (+.f64 x -1)) (-.f64 -1 x)) |
(*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1))) |
(*.f64 1/2 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x)))) |
(*.f64 (+.f64 1 x) (*.f64 (/.f64 2 (-.f64 1 x)) 1/2)) |
(*.f64 (+.f64 1 x) (*.f64 1/2 (/.f64 2 (-.f64 1 x)))) |
(*.f64 (*.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 x (+.f64 x -2)))) |
(*.f64 (+.f64 1 x) (*.f64 -2 (/.f64 1 (+.f64 x (+.f64 x -2))))) |
(*.f64 -2 (*.f64 (/.f64 1 (+.f64 x (+.f64 x -2))) (+.f64 1 x))) |
(*.f64 -2 (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 x (+.f64 x -2))))) |
(*.f64 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x))) 2) |
(*.f64 (+.f64 x (+.f64 2 x)) (/.f64 1/2 (-.f64 1 x))) |
(*.f64 (+.f64 2 (+.f64 x x)) (/.f64 1/2 (-.f64 1 x))) |
(*.f64 (+.f64 1 x) (*.f64 2 (/.f64 1/2 (-.f64 1 x)))) |
(*.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) 1/2) (+.f64 x (+.f64 x 2))) |
(*.f64 (/.f64 -1 (+.f64 x -1)) (*.f64 1/2 (+.f64 x (+.f64 2 x)))) |
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (+.f64 2 (+.f64 x x)) 1/2)) |
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 1/2 (+.f64 2 (+.f64 x x)))) |
(*.f64 (/.f64 1 (/.f64 1 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1))) |
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1))) |
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x))) |
(*.f64 (/.f64 1 (*.f64 (-.f64 1 x) 4)) (*.f64 (+.f64 1 x) 4)) |
(*.f64 (+.f64 1 x) (*.f64 4 (/.f64 (/.f64 1 (-.f64 1 x)) 4))) |
(*.f64 4 (*.f64 (/.f64 1/4 (-.f64 1 x)) (+.f64 1 x))) |
(*.f64 4 (*.f64 (+.f64 1 x) (/.f64 1/4 (-.f64 1 x)))) |
(*.f64 (/.f64 1 (+.f64 x (+.f64 x -2))) (*.f64 (+.f64 1 x) -2)) |
(*.f64 (+.f64 1 x) (*.f64 -2 (/.f64 1 (+.f64 x (+.f64 x -2))))) |
(*.f64 -2 (*.f64 (/.f64 1 (+.f64 x (+.f64 x -2))) (+.f64 1 x))) |
(*.f64 -2 (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 x (+.f64 x -2))))) |
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1) |
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) |
(/.f64 (+.f64 1 x) (-.f64 1 x)) |
(+.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 0) |
(/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 x -1)))) |
(*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) (/.f64 (+.f64 x -1) (-.f64 -1 x))) |
(/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(+.f64 0 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) |
(/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 x -1)))) |
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(*.f64 (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x))) (/.f64 (/.f64 (+.f64 x -1) (-.f64 (*.f64 x x) 1)) (/.f64 2 (+.f64 1 x)))) |
(/.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) (*.f64 2 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 (+.f64 1 x) (-.f64 1 x))))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) (/.f64 2 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(*.f64 (/.f64 2 (-.f64 1 x)) (/.f64 (+.f64 1 x) (/.f64 2 (/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 x -1))))))) |
(*.f64 (+.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (/.f64 2 (*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) (/.f64 (+.f64 x -1) (-.f64 -1 x)))))) |
(*.f64 (+.f64 1 x) (/.f64 (/.f64 2 (-.f64 1 x)) (/.f64 2 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))))))) |
(/.f64 (+.f64 x (+.f64 x -2)) (*.f64 (+.f64 1 x) -2)) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (*.f64 (+.f64 1 x) (/.f64 (-.f64 1 x) (-.f64 1 x))) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x)))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) -1) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (*.f64 2 (*.f64 (+.f64 1 x) 4)) (/.f64 (*.f64 2 (*.f64 (-.f64 1 x) 4)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (*.f64 2 (*.f64 (-.f64 1 x) 4)) (*.f64 2 (*.f64 (+.f64 1 x) 4))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (*.f64 2 (+.f64 x (+.f64 x -2))) (*.f64 2 (*.f64 (+.f64 1 x) -2))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4)) 8) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (*.f64 2 (/.f64 (+.f64 x -1) (+.f64 1 x))) -2) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 -2 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 -2 (/.f64 (+.f64 x (+.f64 x 2)) (+.f64 x -1))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 -2 (neg.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))))) |
(/.f64 2 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x)))) |
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4)) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (-.f64 1 x) (-.f64 1 x))) (/.f64 1 (+.f64 1 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 -1 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 (*.f64 (-.f64 1 x) 4) (+.f64 1 x)) 4) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 1/2 (+.f64 1 x)) (/.f64 1/2 (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 1/2 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x)))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (*.f64 (+.f64 1 x) -2) (/.f64 (+.f64 x (+.f64 x -2)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (*.f64 (+.f64 1 x) -2) (/.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (*.f64 (+.f64 1 x) -2)) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 x) 4)) (*.f64 2 (*.f64 (-.f64 1 x) 4))) (+.f64 (*.f64 2 (*.f64 (+.f64 1 x) 4)) (*.f64 2 (*.f64 (+.f64 1 x) 4)))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (+.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (neg.f64 (*.f64 (-.f64 1 x) 2))) (*.f64 2 (*.f64 (+.f64 1 x) -2))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 1 (/.f64 -1 (+.f64 x -1))) (+.f64 1 x)) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 -1 (/.f64 -1 (+.f64 x -1))) (-.f64 -1 x)) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 2 (/.f64 -1 (+.f64 x -1))) (+.f64 x (+.f64 x 2))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (neg.f64 (+.f64 x (+.f64 x -2))) (neg.f64 (*.f64 (+.f64 1 x) -2))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 (+.f64 x -1))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 (-.f64 1 x) (+.f64 x (+.f64 x 2))) 1/2) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x)))) 1/2) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (*.f64 (-.f64 1 x) 2)) (/.f64 1/2 (+.f64 1 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (/.f64 1 (+.f64 1 x))) (-.f64 1 x)) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 1 x) 4)) (neg.f64 (*.f64 (+.f64 1 x) 4))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 x) 2))) (+.f64 x (+.f64 x 2))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) (/.f64 (+.f64 x -1) (+.f64 1 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
(neg.f64 (/.f64 (+.f64 x -1) (+.f64 1 x))) |
(/.f64 (-.f64 1 x) (+.f64 1 x)) |
(/.f64 (+.f64 x -1) (-.f64 -1 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (-.f64 1 x)) |
Compiled 17 to 13 computations (23.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (atan.f64 (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (atan.f64 (-.f64 1 x)) |
| 0.0ms | x | @ | inf | (atan.f64 (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 2300× | rational.json-simplify-35 |
| 1980× | rational.json-simplify-2 |
| 1484× | rational.json-simplify-1 |
| 1092× | exponential.json-3 |
| 1092× | rational.json-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 53 | 11 |
| 2 | 121 | 11 |
| 3 | 225 | 11 |
| 4 | 401 | 11 |
| 5 | 841 | 11 |
| 6 | 2046 | 11 |
| 7 | 3438 | 11 |
| 8 | 4147 | 11 |
| 9 | 5116 | 11 |
| 10 | 5780 | 11 |
| 11 | 5904 | 11 |
| 12 | 6034 | 11 |
| 13 | 6770 | 11 |
| 14 | 7413 | 11 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/2) (*.f64 (atan.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (atan.f64 (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (-.f64 1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (-.f64 1 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (atan.f64 (-.f64 1 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (-.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (-.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (-.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1))))) |
| 1× | egg-herbie |
| 6302× | rational.json-simplify-51 |
| 3690× | rational.json-simplify-35 |
| 1352× | rational.json-simplify-49 |
| 1250× | rational.json-simplify-2 |
| 984× | rational.json-simplify-1 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 527 |
| 1 | 130 | 465 |
| 2 | 426 | 465 |
| 3 | 1187 | 341 |
| 4 | 1946 | 341 |
| 5 | 2775 | 341 |
| 6 | 3199 | 341 |
| 7 | 3286 | 341 |
| 8 | 3345 | 341 |
| 9 | 3383 | 341 |
| 10 | 3420 | 341 |
| 11 | 3457 | 341 |
| 12 | 3494 | 341 |
| 13 | 3531 | 341 |
| 14 | 3568 | 341 |
| 15 | 3605 | 341 |
| 16 | 3642 | 341 |
| 17 | 3679 | 341 |
| 18 | 3716 | 341 |
| 19 | 4623 | 341 |
| 20 | 4906 | 341 |
| 21 | 5003 | 341 |
| 22 | 5096 | 341 |
| 23 | 5187 | 341 |
| 24 | 5187 | 341 |
| 25 | 5421 | 341 |
| 26 | 5421 | 341 |
| 27 | 5512 | 341 |
| 28 | 5603 | 341 |
| 29 | 5694 | 341 |
| 30 | 5785 | 341 |
| 31 | 5876 | 341 |
| 32 | 5967 | 341 |
| 33 | 6058 | 341 |
| 34 | 6149 | 341 |
| 35 | 6240 | 341 |
| 36 | 6331 | 341 |
| 1× | node limit |
| Inputs |
|---|
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(+.f64 (atan.f64 (-.f64 1 x)) 0) |
(+.f64 0 (atan.f64 (-.f64 1 x))) |
(+.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/2) (*.f64 (atan.f64 (-.f64 1 x)) 1/2)) |
(-.f64 (atan.f64 (-.f64 1 x)) 0) |
(*.f64 1 (atan.f64 (-.f64 1 x))) |
(*.f64 (atan.f64 (-.f64 1 x)) 1) |
(*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 1/2)) |
(*.f64 4 (*.f64 (atan.f64 (-.f64 1 x)) 1/4)) |
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 2) 1/2) |
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 4) 1/4) |
(*.f64 1/2 (*.f64 (atan.f64 (-.f64 1 x)) 2)) |
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 8) 1/8) |
(*.f64 1/4 (*.f64 (atan.f64 (-.f64 1 x)) 4)) |
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/2) 2) |
(*.f64 1/8 (*.f64 (atan.f64 (-.f64 1 x)) 8)) |
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/4) 4) |
(/.f64 (atan.f64 (-.f64 1 x)) 1) |
(/.f64 (*.f64 (atan.f64 (-.f64 1 x)) 2) 2) |
(/.f64 (*.f64 (atan.f64 (-.f64 1 x)) 4) 4) |
(/.f64 (*.f64 (atan.f64 (-.f64 1 x)) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))))) 128) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))))) 256) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))))))) 512) |
(pow.f64 (atan.f64 (-.f64 1 x)) 1) |
| Outputs |
|---|
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(+.f64 (atan.f64 (-.f64 1 x)) 0) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(+.f64 0 (atan.f64 (-.f64 1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(+.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/2) (*.f64 (atan.f64 (-.f64 1 x)) 1/2)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(-.f64 (atan.f64 (-.f64 1 x)) 0) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(*.f64 1 (atan.f64 (-.f64 1 x))) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(*.f64 (atan.f64 (-.f64 1 x)) 1) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 1/2)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(*.f64 4 (*.f64 (atan.f64 (-.f64 1 x)) 1/4)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 2) 1/2) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 4) 1/4) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(*.f64 1/2 (*.f64 (atan.f64 (-.f64 1 x)) 2)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 8) 1/8) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(*.f64 1/4 (*.f64 (atan.f64 (-.f64 1 x)) 4)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/2) 2) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(*.f64 1/8 (*.f64 (atan.f64 (-.f64 1 x)) 8)) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/4) 4) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(/.f64 (atan.f64 (-.f64 1 x)) 1) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(/.f64 (*.f64 (atan.f64 (-.f64 1 x)) 2) 2) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(/.f64 (*.f64 (atan.f64 (-.f64 1 x)) 4) 4) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(/.f64 (*.f64 (atan.f64 (-.f64 1 x)) 8) 8) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)) 16) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))) 32) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))) 64) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))))) 128) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))))) 256) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))))))) 512) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
(pow.f64 (atan.f64 (-.f64 1 x)) 1) |
(atan.f64 (+.f64 1 (*.f64 -1 x))) |
(atan.f64 (+.f64 1 (neg.f64 x))) |
(atan.f64 (-.f64 1 x)) |
Compiled 14389 to 11825 computations (17.8% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 587 | 2 | 589 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 2 | 3 |
| Total | 588 | 5 | 593 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ▶ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))))) |
| ▶ | 0.7b | (*.f64 2 (atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1))))) |
Compiled 59 to 51 computations (13.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1)))) |
| ✓ | 0.0b | (sqrt.f64 (*.f64 -1 (+.f64 x -1))) |
Compiled 34 to 28 computations (17.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt.f64 (*.f64 -1 (+.f64 x -1))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (*.f64 -1 (+.f64 x -1))) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (*.f64 -1 (+.f64 x -1))) |
| 0.0ms | x | @ | 0 | (atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1)))) |
| 0.0ms | x | @ | -inf | (atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1)))) |
| 1× | batch-egg-rewrite |
| 1796× | rational.json-simplify-35 |
| 1396× | rational.json-1 |
| 1368× | exponential.json-3 |
| 1368× | rational.json-2 |
| 1368× | rational.json-4 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 1 | 62 | 34 |
| 2 | 132 | 34 |
| 3 | 256 | 26 |
| 4 | 492 | 26 |
| 5 | 1117 | 26 |
| 6 | 2805 | 26 |
| 7 | 4672 | 26 |
| 8 | 5490 | 26 |
| 9 | 6851 | 26 |
| 10 | 7837 | 26 |
| 11 | 7988 | 26 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 -1 (+.f64 x -1))) |
(atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 x)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1))))) |
| 1× | egg-herbie |
| 5118× | rational.json-simplify-35 |
| 1522× | rational.json-simplify-1 |
| 1416× | rational.json-simplify-2 |
| 1374× | rational.json-simplify-49 |
| 1128× | rational.json-simplify-41 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 1196 |
| 1 | 265 | 1102 |
| 2 | 799 | 1102 |
| 3 | 1399 | 1102 |
| 4 | 2186 | 950 |
| 5 | 3403 | 950 |
| 6 | 3542 | 950 |
| 7 | 3644 | 950 |
| 8 | 3712 | 950 |
| 9 | 3772 | 950 |
| 10 | 3830 | 950 |
| 11 | 4408 | 950 |
| 12 | 4488 | 950 |
| 13 | 4567 | 950 |
| 14 | 4622 | 950 |
| 15 | 4677 | 950 |
| 16 | 4731 | 950 |
| 17 | 4785 | 950 |
| 18 | 5727 | 950 |
| 19 | 5971 | 950 |
| 20 | 5975 | 950 |
| 21 | 5975 | 950 |
| 22 | 6269 | 950 |
| 23 | 6347 | 950 |
| 24 | 6425 | 950 |
| 25 | 6503 | 950 |
| 26 | 6581 | 950 |
| 27 | 6659 | 950 |
| 28 | 6737 | 950 |
| 29 | 6815 | 950 |
| 30 | 6893 | 950 |
| 31 | 6971 | 950 |
| 32 | 7049 | 950 |
| 33 | 7127 | 950 |
| 34 | 7205 | 950 |
| 35 | 7283 | 950 |
| 36 | 7361 | 950 |
| 37 | 7361 | 950 |
| 38 | 7361 | 950 |
| 39 | 7439 | 950 |
| 40 | 7517 | 950 |
| 41 | 7595 | 950 |
| 42 | 7673 | 950 |
| 43 | 7751 | 950 |
| 44 | 7829 | 950 |
| 45 | 7907 | 950 |
| 46 | 7985 | 950 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 -1) 2) |
(+.f64 (*.f64 1/2 x) (pow.f64 (sqrt.f64 -1) 2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 (sqrt.f64 -1) 2))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 4)))))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) 0) |
(+.f64 0 (sqrt.f64 (-.f64 1 x))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2)) |
(-.f64 (sqrt.f64 (-.f64 1 x)) 0) |
(*.f64 (sqrt.f64 (-.f64 1 x)) 1) |
(*.f64 1 (sqrt.f64 (-.f64 1 x))) |
(*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2) |
(*.f64 4 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4) |
(*.f64 1/2 (*.f64 (sqrt.f64 (-.f64 1 x)) 2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 1/8) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2) |
(*.f64 1/4 (*.f64 (sqrt.f64 (-.f64 1 x)) 4)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4) 4) |
(*.f64 1/8 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) |
(/.f64 (sqrt.f64 (-.f64 1 x)) 1) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))))) 256) |
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1) |
(+.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0) |
(+.f64 0 (atan.f64 (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2)) |
(-.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0) |
(*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1) |
(*.f64 1 (atan.f64 (sqrt.f64 (-.f64 1 x)))) |
(*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2)) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 1/2) |
(*.f64 4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4)) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 1/4) |
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2)) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 1/8) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) 2) |
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4)) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4) 4) |
(*.f64 1/8 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) |
(/.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 2) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 4) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) 128) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))))) 256) |
(pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1) |
| Outputs |
|---|
(pow.f64 (sqrt.f64 -1) 2) |
1 |
(+.f64 (*.f64 1/2 x) (pow.f64 (sqrt.f64 -1) 2)) |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 (sqrt.f64 -1) 2))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) 1)) (+.f64 (*.f64 1/2 x) 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 4)))))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) 1)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) 1)) 1))) |
(+.f64 (+.f64 (*.f64 1/16 (pow.f64 x 3)) 1) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) 1))) |
(+.f64 (*.f64 1/2 x) (+.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1) (*.f64 1/16 (pow.f64 x 3)))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1)))) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) 0) |
(sqrt.f64 (-.f64 1 x)) |
(+.f64 0 (sqrt.f64 (-.f64 1 x))) |
(sqrt.f64 (-.f64 1 x)) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2)) |
(sqrt.f64 (-.f64 1 x)) |
(-.f64 (sqrt.f64 (-.f64 1 x)) 0) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 (sqrt.f64 (-.f64 1 x)) 1) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 1 (sqrt.f64 (-.f64 1 x))) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2)) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 4 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4)) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 1/2 (*.f64 (sqrt.f64 (-.f64 1 x)) 2)) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 1/8) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 1/4 (*.f64 (sqrt.f64 (-.f64 1 x)) 4)) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4) 4) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 1/8 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 x)) 1) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))))) 256) |
(sqrt.f64 (-.f64 1 x)) |
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1) |
(sqrt.f64 (-.f64 1 x)) |
(+.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(+.f64 0 (atan.f64 (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2)) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(-.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 1 (atan.f64 (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2)) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 1/2) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4)) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 1/4) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2)) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 1/8) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) 2) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4)) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4) 4) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 1/8 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 2) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 4) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 8) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) 16) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))) 32) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))) 64) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) 128) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))))) 256) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1) |
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1))) |
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))) |
| ✓ | 0.0b | (/.f64 2 (+.f64 -1 x)) |
| ✓ | 0.0b | (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))) |
| ✓ | 0.0b | (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))) |
Compiled 75 to 61 computations (18.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 2 (+.f64 -1 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))) |
| 0.0ms | x | @ | inf | (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))) |
| 0.0ms | x | @ | 0 | (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))) |
| 0.0ms | x | @ | -inf | (/.f64 2 (+.f64 -1 x)) |
| 1× | batch-egg-rewrite |
| 1550× | rational.json-1 |
| 1550× | rational.json-2 |
| 1550× | rational.json-4 |
| 1550× | rational.json-3 |
| 1540× | exponential.json-3 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 104 |
| 1 | 87 | 104 |
| 2 | 230 | 80 |
| 3 | 697 | 80 |
| 4 | 2373 | 80 |
| 5 | 5716 | 80 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))) |
(*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))) |
(/.f64 2 (+.f64 -1 x)) |
(sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))) |
| Outputs |
|---|
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(-.f64 1 x))) (/.f64 2 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))))) (/.f64 2 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 2 (-.f64 -1 x)))) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x)))) (-.f64 0 (*.f64 (+.f64 -1 x) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -8 (-.f64 1 x))) (neg.f64 (/.f64 4 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 4 (-.f64 1 x))) (/.f64 2 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -2 (-.f64 1 x)) (+.f64 x 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 -2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 -2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -2 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 -2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 -2 (-.f64 1 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1))))) |
| 1× | egg-herbie |
| 1124× | rational.json-simplify-1 |
| 996× | rational.json-simplify-43 |
| 886× | rational.json-simplify-35 |
| 846× | rational.json-simplify-50 |
| 840× | rational.json-simplify-2 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 378 | 5612 |
| 1 | 1122 | 5414 |
| 2 | 3271 | 5346 |
| 3 | 5537 | 5324 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
2 |
(+.f64 2 (*.f64 4 x)) |
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 4 x))) |
(+.f64 (*.f64 4 (pow.f64 x 3)) (+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 4 x)))) |
-2 |
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 x)))) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x))))) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x)))))) |
-2 |
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 x)))) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x))))) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x)))))) |
-2 |
(-.f64 (*.f64 -2 x) 2) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 2) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 2) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(pow.f64 (sqrt.f64 -1) 2) |
(+.f64 (pow.f64 (sqrt.f64 -1) 2) x) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x)) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))) |
(+.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 0) |
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 x 1))) |
(+.f64 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))) (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x)))) |
(+.f64 (/.f64 1 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (/.f64 1 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))))) |
(-.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 0) |
(*.f64 2 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x)))) |
(*.f64 2 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 2)) |
(*.f64 -1 (/.f64 (/.f64 2 (+.f64 x 1)) (/.f64 -2 (-.f64 1 x)))) |
(*.f64 (+.f64 -1 x) (/.f64 -1 (+.f64 x 1))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1) |
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1))) |
(*.f64 (+.f64 x (+.f64 x -2)) (/.f64 1/2 (-.f64 -1 x))) |
(*.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 (+.f64 -1 x) 1/2)) |
(*.f64 (*.f64 (+.f64 -1 x) 4) (/.f64 1 (*.f64 (-.f64 -1 x) 4))) |
(*.f64 (/.f64 4 (-.f64 -1 x)) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2)) |
(*.f64 (/.f64 4 (-.f64 -1 x)) (*.f64 (+.f64 -1 x) 1/4)) |
(*.f64 (/.f64 4 (-.f64 -1 x)) (/.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4))) |
(*.f64 (-.f64 1 x) (/.f64 -1 (-.f64 -1 x))) |
(*.f64 (/.f64 2 (+.f64 x 1)) (/.f64 -1 (/.f64 -2 (-.f64 1 x)))) |
(*.f64 (*.f64 (+.f64 -1 x) 1/2) (/.f64 2 (-.f64 -1 x))) |
(*.f64 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1/2) |
(*.f64 (/.f64 -1 (+.f64 x 1)) (+.f64 -1 x)) |
(*.f64 1/2 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1)))) |
(*.f64 (/.f64 1/2 (-.f64 -1 x)) (+.f64 x (+.f64 x -2))) |
(*.f64 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))) 2) |
(*.f64 (/.f64 (/.f64 2 (+.f64 x 1)) (/.f64 -2 (-.f64 1 x))) -1) |
(*.f64 (/.f64 1 (*.f64 (-.f64 -1 x) 4)) (*.f64 (+.f64 -1 x) 4)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 2) 2) |
(*.f64 (/.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)) (/.f64 4 (-.f64 -1 x))) |
(*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x)) |
(*.f64 (/.f64 -1 (/.f64 -2 (-.f64 1 x))) (/.f64 2 (+.f64 x 1))) |
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1) |
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x))) |
(neg.f64 (/.f64 (/.f64 2 (+.f64 x 1)) (/.f64 -2 (-.f64 1 x)))) |
(+.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))) 0) |
(+.f64 0 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x)))) |
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (/.f64 (+.f64 x 1) (-.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))) 0) |
(-.f64 0 (neg.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))))) |
(/.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1))) |
(/.f64 2 (+.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 2 (/.f64 -2 (-.f64 1 x)))) (/.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 2 (/.f64 -2 (-.f64 1 x)))))) |
(/.f64 -1 (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x)))) |
(/.f64 (-.f64 -1 x) (*.f64 (+.f64 -1 x) 1/2)) |
(/.f64 (-.f64 -1 x) (+.f64 (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2))) |
(/.f64 (-.f64 -1 x) (+.f64 (*.f64 (+.f64 -1 x) 1/4) (*.f64 (+.f64 -1 x) 1/4))) |
(/.f64 (-.f64 -1 x) (+.f64 (/.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)) (/.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)))) |
(/.f64 (-.f64 -1 x) (/.f64 (neg.f64 (*.f64 (+.f64 -1 x) 1/2)) -1)) |
(/.f64 (+.f64 -1 x) (*.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 (+.f64 -1 x) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2)))) |
(/.f64 (/.f64 -2 (-.f64 1 x)) (/.f64 -1 (+.f64 x 1))) |
(/.f64 (/.f64 -2 (-.f64 1 x)) (/.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) -2) -1)) |
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1) |
(/.f64 1 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x)))) |
(/.f64 1 (/.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 2 (/.f64 -2 (-.f64 1 x))))) |
(/.f64 1 (+.f64 (/.f64 (+.f64 -1 x) (*.f64 (-.f64 -1 x) 4)) (/.f64 (+.f64 -1 x) (*.f64 (-.f64 -1 x) 4)))) |
(/.f64 4 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1)))) |
(/.f64 (*.f64 4 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) |
(/.f64 (+.f64 x (+.f64 x -2)) (+.f64 (*.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 (+.f64 -1 x) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2))) (*.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 (+.f64 -1 x) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2))))) |
(/.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))) (/.f64 2 (-.f64 -1 x))) |
(/.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))) (*.f64 4 (/.f64 1/2 (-.f64 -1 x)))) |
(/.f64 8 (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 4)) |
(/.f64 (*.f64 2 (-.f64 -1 x)) (+.f64 -1 x)) |
(/.f64 (*.f64 2 (*.f64 4 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 4) |
(/.f64 (+.f64 x 1) (*.f64 (+.f64 -1 x) -1/2)) |
(/.f64 (+.f64 x 1) (neg.f64 (*.f64 (+.f64 -1 x) 1/2))) |
(/.f64 (+.f64 x 1) (/.f64 -2 (*.f64 2 (/.f64 -2 (-.f64 1 x))))) |
(/.f64 -2 (*.f64 (/.f64 2 (+.f64 x 1)) (*.f64 (+.f64 -1 x) 1/2))) |
(/.f64 -2 (neg.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) |
(/.f64 -2 (+.f64 (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x))) (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x))))) |
(/.f64 (neg.f64 (/.f64 -2 (-.f64 1 x))) (/.f64 -2 (*.f64 2 (-.f64 -1 x)))) |
(/.f64 (neg.f64 (/.f64 -2 (-.f64 1 x))) (-.f64 0 (/.f64 -1 (+.f64 x 1)))) |
(/.f64 (*.f64 (-.f64 -1 x) 1/2) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2)) |
(/.f64 (*.f64 (-.f64 -1 x) 1/2) (*.f64 (+.f64 -1 x) 1/4)) |
(/.f64 (*.f64 (-.f64 -1 x) 1/2) (/.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4))) |
(/.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/2) |
(/.f64 16 (*.f64 2 (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 4))) |
(/.f64 (*.f64 (*.f64 4 (/.f64 (+.f64 x 1) (-.f64 1 x))) 4) 8) |
(/.f64 (*.f64 (/.f64 -2 (-.f64 1 x)) 4) (/.f64 4 (-.f64 -1 x))) |
(/.f64 -4 (*.f64 (+.f64 -1 x) (/.f64 2 (+.f64 x 1)))) |
(/.f64 -4 (+.f64 (*.f64 (/.f64 2 (+.f64 x 1)) (*.f64 (+.f64 -1 x) 1/2)) (*.f64 (/.f64 2 (+.f64 x 1)) (*.f64 (+.f64 -1 x) 1/2)))) |
(/.f64 -4 (-.f64 0 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1))))) |
(/.f64 (*.f64 2 (neg.f64 (/.f64 -2 (-.f64 1 x)))) (+.f64 (/.f64 -2 (*.f64 2 (-.f64 -1 x))) (/.f64 -2 (*.f64 2 (-.f64 -1 x))))) |
(/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 x (+.f64 x -2))) |
(/.f64 (+.f64 x (+.f64 2 x)) (-.f64 1 x)) |
(/.f64 (+.f64 x (+.f64 2 x)) (+.f64 (neg.f64 (*.f64 (+.f64 -1 x) 1/2)) (neg.f64 (*.f64 (+.f64 -1 x) 1/2)))) |
(/.f64 (+.f64 x (+.f64 2 x)) (+.f64 (*.f64 (+.f64 -1 x) -1/2) (*.f64 (+.f64 -1 x) -1/2))) |
(/.f64 (+.f64 x (+.f64 2 x)) (+.f64 (/.f64 -2 (*.f64 2 (/.f64 -2 (-.f64 1 x)))) (/.f64 -2 (*.f64 2 (/.f64 -2 (-.f64 1 x)))))) |
(/.f64 (*.f64 (/.f64 -2 (-.f64 1 x)) (+.f64 x 1)) -1) |
(/.f64 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1))) (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 (-.f64 1 x) (+.f64 x 1)))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 4) (+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 (-.f64 1 x) (+.f64 x 1))) (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 (-.f64 1 x) (+.f64 x 1))))) |
(/.f64 1/2 (/.f64 (+.f64 -1 x) (*.f64 (-.f64 -1 x) 4))) |
(/.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 1/2 (-.f64 -1 x))) |
(/.f64 (/.f64 -1 (-.f64 1 x)) (*.f64 (/.f64 -1 (+.f64 x 1)) 1/2)) |
(/.f64 (*.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)) (*.f64 2 (/.f64 4 (-.f64 -1 x)))) |
(/.f64 -8 (+.f64 (*.f64 (+.f64 -1 x) (/.f64 2 (+.f64 x 1))) (*.f64 (+.f64 -1 x) (/.f64 2 (+.f64 x 1))))) |
(/.f64 -8 (-.f64 0 (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 4))) |
(/.f64 (/.f64 (*.f64 2 (-.f64 -1 x)) 1/4) (*.f64 (+.f64 -1 x) 4)) |
(/.f64 (*.f64 2 (+.f64 x (+.f64 2 x))) (*.f64 2 (-.f64 1 x))) |
(/.f64 (*.f64 (/.f64 -2 (-.f64 1 x)) (+.f64 x (+.f64 2 x))) -2) |
(/.f64 (*.f64 2 (*.f64 (*.f64 4 (/.f64 (+.f64 x 1) (-.f64 1 x))) 4)) 16) |
(/.f64 (/.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x))) (*.f64 (+.f64 -1 x) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2))) |
(/.f64 (/.f64 -4 (-.f64 1 x)) (/.f64 2 (-.f64 -1 x))) |
(/.f64 (/.f64 (-.f64 -1 x) (-.f64 1 x)) -1/2) |
(/.f64 (/.f64 (-.f64 -1 x) (+.f64 x (+.f64 x -2))) 1/4) |
(/.f64 (/.f64 -8 (-.f64 1 x)) (/.f64 4 (-.f64 -1 x))) |
(/.f64 (/.f64 4 (-.f64 1 x)) (/.f64 2 (+.f64 x 1))) |
(/.f64 (neg.f64 (*.f64 2 (-.f64 -1 x))) (-.f64 1 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 -1 x) 4)) (neg.f64 (+.f64 x (+.f64 x -2)))) |
(/.f64 (neg.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x)))) (/.f64 2 (+.f64 x 1))) |
(/.f64 (+.f64 (/.f64 -4 (-.f64 1 x)) (/.f64 -4 (-.f64 1 x))) (/.f64 4 (-.f64 -1 x))) |
(/.f64 (+.f64 (/.f64 (-.f64 -1 x) (-.f64 1 x)) (/.f64 (-.f64 -1 x) (-.f64 1 x))) -1) |
(/.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 -1 x))) (neg.f64 (*.f64 2 (-.f64 -1 x)))) (*.f64 2 (-.f64 1 x))) |
(/.f64 (+.f64 (neg.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x)))) (neg.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))))) (*.f64 2 (/.f64 2 (+.f64 x 1)))) |
(/.f64 (+.f64 (/.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x))) (/.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x)))) (*.f64 (*.f64 (+.f64 -1 x) 1/2) (+.f64 -1 x))) |
(/.f64 (+.f64 (/.f64 -8 (-.f64 1 x)) (/.f64 -8 (-.f64 1 x))) (*.f64 2 (/.f64 4 (-.f64 -1 x)))) |
(/.f64 (+.f64 (/.f64 4 (-.f64 1 x)) (/.f64 4 (-.f64 1 x))) (*.f64 2 (/.f64 2 (+.f64 x 1)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)) (neg.f64 (/.f64 4 (-.f64 -1 x)))) |
(/.f64 (neg.f64 (/.f64 -1 (-.f64 1 x))) (-.f64 0 (/.f64 1/2 (-.f64 -1 x)))) |
(/.f64 (neg.f64 (/.f64 -4 (-.f64 1 x))) (/.f64 2 (+.f64 x 1))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))))) (/.f64 2 (-.f64 -1 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (-.f64 -1 x)))) (+.f64 -1 x)) |
(/.f64 (neg.f64 (/.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x)))) (-.f64 0 (*.f64 (+.f64 -1 x) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2)))) |
(/.f64 (neg.f64 (/.f64 -8 (-.f64 1 x))) (neg.f64 (/.f64 4 (-.f64 -1 x)))) |
(/.f64 (neg.f64 (/.f64 4 (-.f64 1 x))) (/.f64 2 (-.f64 -1 x))) |
(pow.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1) |
(neg.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))))) |
(neg.f64 (*.f64 (/.f64 -2 (-.f64 1 x)) (+.f64 x 1))) |
(+.f64 (/.f64 -2 (-.f64 1 x)) 0) |
(+.f64 0 (/.f64 -2 (-.f64 1 x))) |
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -1 (-.f64 1 x))) |
(-.f64 (/.f64 -2 (-.f64 1 x)) 0) |
(-.f64 0 (neg.f64 (/.f64 -2 (-.f64 1 x)))) |
(*.f64 2 (/.f64 -1 (-.f64 1 x))) |
(*.f64 -1 (neg.f64 (/.f64 -2 (-.f64 1 x)))) |
(*.f64 (/.f64 -2 (-.f64 1 x)) 1) |
(*.f64 1 (/.f64 -2 (-.f64 1 x))) |
(*.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))) 1/2) |
(*.f64 (neg.f64 (/.f64 -2 (-.f64 1 x))) -1) |
(*.f64 1/2 (*.f64 2 (/.f64 -2 (-.f64 1 x)))) |
(*.f64 (/.f64 -1 (-.f64 1 x)) 2) |
(pow.f64 (/.f64 -2 (-.f64 1 x)) 1) |
(neg.f64 (neg.f64 (/.f64 -2 (-.f64 1 x)))) |
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 0) |
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) |
(-.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 0) |
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1) |
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) |
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 1/2) |
(*.f64 1/2 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) 2) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1) |
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 2) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4))) 16) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -2 x)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x))) |
(+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) 1))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 (+.f64 (pow.f64 x 3) x)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3))))) |
(+.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (+.f64 1 (*.f64 2 (pow.f64 x 2)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (*.f64 2 (/.f64 1 x)) -1) |
(+.f64 -1 (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))) |
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (*.f64 2 (/.f64 1 x)) -1) |
(+.f64 -1 (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))) |
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
2 |
(+.f64 2 (*.f64 4 x)) |
(+.f64 2 (*.f64 x 4)) |
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 4 x))) |
(+.f64 2 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) 4))) |
(+.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) x))) |
(+.f64 2 (*.f64 4 (+.f64 x (pow.f64 x 2)))) |
(+.f64 (*.f64 4 (pow.f64 x 3)) (+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 4 x)))) |
(+.f64 (*.f64 (pow.f64 x 2) 4) (+.f64 (+.f64 2 (*.f64 x 4)) (*.f64 (pow.f64 x 3) 4))) |
(+.f64 2 (+.f64 (*.f64 4 (+.f64 (pow.f64 x 2) x)) (*.f64 (pow.f64 x 3) 4))) |
(+.f64 2 (*.f64 4 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 2))))) |
-2 |
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 x)))) |
(neg.f64 (+.f64 2 (*.f64 (/.f64 1 x) 4))) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x))))) |
(neg.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 4) (+.f64 2 (*.f64 (/.f64 1 x) 4)))) |
(neg.f64 (+.f64 2 (*.f64 4 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x)))))) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 4) (+.f64 (*.f64 (/.f64 1 x) 4) (*.f64 (/.f64 1 (pow.f64 x 3)) 4))))) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 4) (*.f64 4 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))) |
(neg.f64 (+.f64 2 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))) |
(neg.f64 (+.f64 2 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))))) |
-2 |
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 x)))) |
(neg.f64 (+.f64 2 (*.f64 (/.f64 1 x) 4))) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x))))) |
(neg.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 4) (+.f64 2 (*.f64 (/.f64 1 x) 4)))) |
(neg.f64 (+.f64 2 (*.f64 4 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x)))))) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 4) (+.f64 (*.f64 (/.f64 1 x) 4) (*.f64 (/.f64 1 (pow.f64 x 3)) 4))))) |
(neg.f64 (+.f64 2 (+.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 4) (*.f64 4 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))) |
(neg.f64 (+.f64 2 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))) |
(neg.f64 (+.f64 2 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))))) |
-2 |
(-.f64 (*.f64 -2 x) 2) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 2) |
(+.f64 (*.f64 -2 x) (-.f64 (*.f64 -2 (pow.f64 x 2)) 2)) |
(-.f64 (*.f64 -2 (+.f64 (pow.f64 x 2) x)) 2) |
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 2))) 2) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 2) |
(+.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (-.f64 (*.f64 -2 (pow.f64 x 2)) 2)) |
(+.f64 (*.f64 -2 (+.f64 (pow.f64 x 3) x)) (-.f64 (*.f64 -2 (pow.f64 x 2)) 2)) |
(-.f64 (*.f64 -2 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3)))) 2) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) (*.f64 2 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 2 x) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) (*.f64 2 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))) |
(pow.f64 (sqrt.f64 -1) 2) |
1 |
(+.f64 (pow.f64 (sqrt.f64 -1) 2) x) |
(+.f64 1 x) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x)) |
(+.f64 1 (+.f64 x (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) -1/2)))) |
(+.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1/2)))) |
(+.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) (*.f64 -1/2 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)))))) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x))) |
(+.f64 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) 1))) (*.f64 (pow.f64 x 3) 1/2)) (+.f64 1 (+.f64 x (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) -1/2))))) |
(+.f64 1 (+.f64 (+.f64 x (*.f64 (pow.f64 x 2) (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1/2))) (*.f64 (pow.f64 x 3) (*.f64 1/2 (-.f64 2 (neg.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)))))))) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 3) (*.f64 1/2 (-.f64 2 (neg.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)))))) (+.f64 x (*.f64 (pow.f64 x 2) (*.f64 -1/2 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2))))))) |
(+.f64 (+.f64 1 (+.f64 x (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) -1/2)))) (*.f64 (-.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -2) (*.f64 (pow.f64 x 3) 1/2))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) |
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(/.f64 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1))) (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 (-.f64 1 x) (+.f64 x 1)))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 4) (+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 (-.f64 1 x) (+.f64 x 1))) (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 (-.f64 1 x) (+.f64 x 1))))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 1/2 (/.f64 (+.f64 -1 x) (*.f64 (-.f64 -1 x) 4))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 1/2 (-.f64 -1 x))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (/.f64 -1 (-.f64 1 x)) (*.f64 (/.f64 -1 (+.f64 x 1)) 1/2)) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (*.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)) (*.f64 2 (/.f64 4 (-.f64 -1 x)))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 -8 (+.f64 (*.f64 (+.f64 -1 x) (/.f64 2 (+.f64 x 1))) (*.f64 (+.f64 -1 x) (/.f64 2 (+.f64 x 1))))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 -8 (-.f64 0 (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 4))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (/.f64 (*.f64 2 (-.f64 -1 x)) 1/4) (*.f64 (+.f64 -1 x) 4)) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (*.f64 2 (+.f64 x (+.f64 2 x))) (*.f64 2 (-.f64 1 x))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (*.f64 (/.f64 -2 (-.f64 1 x)) (+.f64 x (+.f64 2 x))) -2) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (*.f64 2 (*.f64 (*.f64 4 (/.f64 (+.f64 x 1) (-.f64 1 x))) 4)) 16) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (/.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x))) (*.f64 (+.f64 -1 x) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2))) |
(/.f64 (/.f64 (+.f64 x -1) (/.f64 -2 (-.f64 x -1))) (*.f64 (+.f64 x -1) (*.f64 1/2 (*.f64 1/2 (+.f64 x -1))))) |
(/.f64 (+.f64 1 x) (/.f64 -2 (/.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) 1/4))))) |
(/.f64 (/.f64 (-.f64 -1 x) (/.f64 (-.f64 1 x) (*.f64 -1/2 (+.f64 x -1)))) (*.f64 (+.f64 x -1) 1/4)) |
(/.f64 (/.f64 -4 (-.f64 1 x)) (/.f64 2 (-.f64 -1 x))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (/.f64 (-.f64 -1 x) (-.f64 1 x)) -1/2) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (/.f64 (-.f64 -1 x) (+.f64 x (+.f64 x -2))) 1/4) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (/.f64 -8 (-.f64 1 x)) (/.f64 4 (-.f64 -1 x))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (/.f64 4 (-.f64 1 x)) (/.f64 2 (+.f64 x 1))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (neg.f64 (*.f64 2 (-.f64 -1 x))) (-.f64 1 x)) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 -1 x) 4)) (neg.f64 (+.f64 x (+.f64 x -2)))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (neg.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x)))) (/.f64 2 (+.f64 x 1))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (+.f64 (/.f64 -4 (-.f64 1 x)) (/.f64 -4 (-.f64 1 x))) (/.f64 4 (-.f64 -1 x))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (+.f64 (/.f64 (-.f64 -1 x) (-.f64 1 x)) (/.f64 (-.f64 -1 x) (-.f64 1 x))) -1) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 -1 x))) (neg.f64 (*.f64 2 (-.f64 -1 x)))) (*.f64 2 (-.f64 1 x))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (+.f64 (neg.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x)))) (neg.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))))) (*.f64 2 (/.f64 2 (+.f64 x 1)))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (+.f64 (/.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x))) (/.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x)))) (*.f64 (*.f64 (+.f64 -1 x) 1/2) (+.f64 -1 x))) |
(/.f64 (/.f64 (+.f64 x -1) (/.f64 -2 (-.f64 x -1))) (*.f64 (+.f64 x -1) (*.f64 1/2 (*.f64 1/2 (+.f64 x -1))))) |
(/.f64 (+.f64 1 x) (/.f64 -2 (/.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) 1/4))))) |
(/.f64 (/.f64 (-.f64 -1 x) (/.f64 (-.f64 1 x) (*.f64 -1/2 (+.f64 x -1)))) (*.f64 (+.f64 x -1) 1/4)) |
(/.f64 (+.f64 (/.f64 -8 (-.f64 1 x)) (/.f64 -8 (-.f64 1 x))) (*.f64 2 (/.f64 4 (-.f64 -1 x)))) |
(/.f64 (+.f64 (/.f64 8 (-.f64 x 1)) (/.f64 8 (-.f64 x 1))) (*.f64 2 (/.f64 4 (-.f64 -1 x)))) |
(/.f64 (+.f64 (/.f64 8 (+.f64 x -1)) (/.f64 8 (+.f64 x -1))) (*.f64 2 (/.f64 4 (-.f64 -1 x)))) |
(/.f64 (+.f64 (/.f64 4 (-.f64 1 x)) (/.f64 4 (-.f64 1 x))) (*.f64 2 (/.f64 2 (+.f64 x 1)))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)) (neg.f64 (/.f64 4 (-.f64 -1 x)))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (neg.f64 (/.f64 -1 (-.f64 1 x))) (-.f64 0 (/.f64 1/2 (-.f64 -1 x)))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (neg.f64 (/.f64 -4 (-.f64 1 x))) (/.f64 2 (+.f64 x 1))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))))) (/.f64 2 (-.f64 -1 x))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (-.f64 -1 x)))) (+.f64 -1 x)) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (neg.f64 (/.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x)))) (-.f64 0 (*.f64 (+.f64 -1 x) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2)))) |
(/.f64 (/.f64 (+.f64 x -1) (/.f64 -2 (-.f64 x -1))) (*.f64 (+.f64 x -1) (*.f64 1/2 (*.f64 1/2 (+.f64 x -1))))) |
(/.f64 (+.f64 1 x) (/.f64 -2 (/.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) 1/4))))) |
(/.f64 (/.f64 (-.f64 -1 x) (/.f64 (-.f64 1 x) (*.f64 -1/2 (+.f64 x -1)))) (*.f64 (+.f64 x -1) 1/4)) |
(/.f64 (neg.f64 (/.f64 -8 (-.f64 1 x))) (neg.f64 (/.f64 4 (-.f64 -1 x)))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(/.f64 (neg.f64 (/.f64 4 (-.f64 1 x))) (/.f64 2 (-.f64 -1 x))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(pow.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(neg.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(neg.f64 (*.f64 (/.f64 -2 (-.f64 1 x)) (+.f64 x 1))) |
(*.f64 2 (/.f64 (+.f64 1 x) (-.f64 1 x))) |
(+.f64 (/.f64 -2 (-.f64 1 x)) 0) |
(/.f64 -2 (-.f64 1 x)) |
(+.f64 0 (/.f64 -2 (-.f64 1 x))) |
(/.f64 -2 (-.f64 1 x)) |
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -1 (-.f64 1 x))) |
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))) |
(-.f64 (/.f64 -2 (-.f64 1 x)) 0) |
(/.f64 -2 (-.f64 1 x)) |
(-.f64 0 (neg.f64 (/.f64 -2 (-.f64 1 x)))) |
(/.f64 -2 (-.f64 1 x)) |
(*.f64 2 (/.f64 -1 (-.f64 1 x))) |
(*.f64 2 (/.f64 1 (-.f64 x 1))) |
(*.f64 2 (/.f64 1 (+.f64 x -1))) |
(*.f64 -1 (neg.f64 (/.f64 -2 (-.f64 1 x)))) |
(/.f64 -2 (-.f64 1 x)) |
(*.f64 (/.f64 -2 (-.f64 1 x)) 1) |
(/.f64 -2 (-.f64 1 x)) |
(*.f64 1 (/.f64 -2 (-.f64 1 x))) |
(/.f64 -2 (-.f64 1 x)) |
(*.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))) 1/2) |
(/.f64 -2 (-.f64 1 x)) |
(*.f64 (neg.f64 (/.f64 -2 (-.f64 1 x))) -1) |
(/.f64 -2 (-.f64 1 x)) |
(*.f64 1/2 (*.f64 2 (/.f64 -2 (-.f64 1 x)))) |
(/.f64 -2 (-.f64 1 x)) |
(*.f64 (/.f64 -1 (-.f64 1 x)) 2) |
(*.f64 2 (/.f64 1 (-.f64 x 1))) |
(*.f64 2 (/.f64 -1 (-.f64 1 x))) |
(*.f64 2 (/.f64 1 (+.f64 x -1))) |
(pow.f64 (/.f64 -2 (-.f64 1 x)) 1) |
(/.f64 -2 (-.f64 1 x)) |
(neg.f64 (neg.f64 (/.f64 -2 (-.f64 1 x)))) |
(/.f64 -2 (-.f64 1 x)) |
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 0) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(-.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 0) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2)) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 1/2) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(*.f64 1/2 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) 2) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 2) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4) 4) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4)) 8) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4))) 16) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1) |
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
Compiled 6230 to 5479 computations (12.1% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 341 | 2 | 343 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 342 | 6 | 348 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))))) |
| ▶ | 0.7b | (*.f64 2 (atan.f64 (sqrt.f64 (-.f64 1 x)))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))))) |
| ▶ | 0.8b | (*.f64 2 (atan.f64 1)) |
Compiled 62 to 54 computations (12.9% saved)
Compiled 9 to 9 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (atan.f64 (sqrt.f64 (-.f64 1 x))) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 x)) |
Compiled 23 to 18 computations (21.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (sqrt.f64 (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (atan.f64 (sqrt.f64 (-.f64 1 x))) |
| 0.0ms | x | @ | inf | (atan.f64 (sqrt.f64 (-.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 2140× | rational.json-simplify-2 |
| 1558× | rational.json-simplify-1 |
| 1488× | rational.json-simplify-35 |
| 1154× | exponential.json-3 |
| 1154× | rational.json-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 1 | 59 | 26 |
| 2 | 131 | 26 |
| 3 | 245 | 26 |
| 4 | 438 | 26 |
| 5 | 927 | 26 |
| 6 | 2264 | 26 |
| 7 | 3701 | 26 |
| 8 | 4439 | 26 |
| 9 | 5464 | 26 |
| 10 | 6156 | 26 |
| 11 | 6266 | 26 |
| 12 | 6388 | 26 |
| 13 | 7145 | 26 |
| 14 | 7772 | 26 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 x)) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 x)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1))))) |
| 1× | egg-herbie |
| 6410× | rational.json-simplify-51 |
| 3022× | rational.json-simplify-35 |
| 1434× | rational.json-simplify-1 |
| 1324× | rational.json-simplify-2 |
| 1270× | rational.json-simplify-49 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 1010 |
| 1 | 232 | 950 |
| 2 | 754 | 950 |
| 3 | 1340 | 830 |
| 4 | 2105 | 830 |
| 5 | 3258 | 830 |
| 6 | 3368 | 830 |
| 7 | 3454 | 830 |
| 8 | 3512 | 830 |
| 9 | 3562 | 830 |
| 10 | 3610 | 830 |
| 11 | 4151 | 830 |
| 12 | 4217 | 830 |
| 13 | 4281 | 830 |
| 14 | 4325 | 830 |
| 15 | 4369 | 830 |
| 16 | 4413 | 830 |
| 17 | 4457 | 830 |
| 18 | 5310 | 830 |
| 19 | 5512 | 830 |
| 20 | 5574 | 830 |
| 21 | 5626 | 830 |
| 22 | 5678 | 830 |
| 23 | 5678 | 830 |
| 24 | 5864 | 830 |
| 25 | 5864 | 830 |
| 26 | 5916 | 830 |
| 27 | 5968 | 830 |
| 28 | 6020 | 830 |
| 29 | 6072 | 830 |
| 30 | 6124 | 830 |
| 31 | 6176 | 830 |
| 32 | 6228 | 830 |
| 33 | 6280 | 830 |
| 34 | 6332 | 830 |
| 35 | 6384 | 830 |
| 36 | 6436 | 830 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) 0) |
(+.f64 0 (sqrt.f64 (-.f64 1 x))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2)) |
(-.f64 (sqrt.f64 (-.f64 1 x)) 0) |
(*.f64 1 (sqrt.f64 (-.f64 1 x))) |
(*.f64 (sqrt.f64 (-.f64 1 x)) 1) |
(*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2)) |
(*.f64 4 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4) |
(*.f64 1/2 (*.f64 (sqrt.f64 (-.f64 1 x)) 2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 1/8) |
(*.f64 1/4 (*.f64 (sqrt.f64 (-.f64 1 x)) 4)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2) |
(*.f64 1/8 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4) 4) |
(/.f64 (sqrt.f64 (-.f64 1 x)) 1) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))))) 256) |
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1) |
(+.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0) |
(+.f64 0 (atan.f64 (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2)) |
(-.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0) |
(*.f64 1 (atan.f64 (sqrt.f64 (-.f64 1 x)))) |
(*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1) |
(*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2)) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 1/2) |
(*.f64 4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4)) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 1/4) |
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2)) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 1/8) |
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4)) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) 2) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4) 4) |
(*.f64 1/8 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) |
(/.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 2) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 4) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) 128) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))))) 256) |
(pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1)) |
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 -1/8 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/2 x))) |
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 -1/8 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (*.f64 -1/2 x)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (+.f64 1 (*.f64 -1/2 x)) (*.f64 -1/16 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 -1/8 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/16 (pow.f64 x 3))))) |
(+.f64 (*.f64 -1/2 x) (+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/16 (pow.f64 x 3))))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) 0) |
(sqrt.f64 (-.f64 1 x)) |
(+.f64 0 (sqrt.f64 (-.f64 1 x))) |
(sqrt.f64 (-.f64 1 x)) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2)) |
(sqrt.f64 (-.f64 1 x)) |
(-.f64 (sqrt.f64 (-.f64 1 x)) 0) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 1 (sqrt.f64 (-.f64 1 x))) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 (sqrt.f64 (-.f64 1 x)) 1) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2)) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 4 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4)) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 1/2 (*.f64 (sqrt.f64 (-.f64 1 x)) 2)) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 1/8) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 1/4 (*.f64 (sqrt.f64 (-.f64 1 x)) 4)) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 1/8 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) |
(sqrt.f64 (-.f64 1 x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4) 4) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 x)) 1) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128) |
(sqrt.f64 (-.f64 1 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))))) 256) |
(sqrt.f64 (-.f64 1 x)) |
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1) |
(sqrt.f64 (-.f64 1 x)) |
(+.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(+.f64 0 (atan.f64 (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2)) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(-.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 1 (atan.f64 (sqrt.f64 (-.f64 1 x)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2)) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 1/2) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4)) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 1/4) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2)) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 1/8) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4)) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) 2) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4) 4) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(*.f64 1/8 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 2) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 4) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 8) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) 16) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))) 32) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))) 64) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) 128) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))))) 256) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
(pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1) |
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1)))) |
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x)))) |
(atan.f64 (sqrt.f64 (-.f64 1 x))) |
Compiled 852 to 765 computations (10.2% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 70 | 0 | 70 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 70 | 6 | 76 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 2 (atan.f64 (-.f64 1 x))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))))) |
| ✓ | 0.7b | (*.f64 2 (atan.f64 (sqrt.f64 (-.f64 1 x)))) |
| ✓ | 0.0b | (*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))))) |
| ✓ | 0.8b | (*.f64 2 (atan.f64 1)) |
Compiled 62 to 54 computations (12.9% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x))))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x))))))) |
5 calls:
| 7.0ms | x |
| 2.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 2.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 2.0ms | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0b | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 0b | 1 | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0b | 1 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
Compiled 134 to 110 computations (17.9% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))))) |
5 calls:
| 54.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 5.0ms | x |
| 2.0ms | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| 2.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0.0b | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 0.0b | 1 | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.0b | 1 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
Compiled 107 to 89 computations (16.8% saved)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
5 calls:
| 5.0ms | x |
| 2.0ms | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 2.0ms | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 2.0ms | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
| 0.0b | 1 | (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) |
| 0.0b | 1 | (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) |
| 0.0b | 1 | (/.f64 (-.f64 1 x) (+.f64 1 x)) |
Compiled 79 to 65 computations (17.7% saved)
Total -0.5b remaining (-155.1%)
Threshold costs -0.5b (-155.1%)
| Inputs |
|---|
(*.f64 2 (atan.f64 1)) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 1 x)))) |
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1))))) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (-.f64 1 x))) |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
Compiled 29 to 25 computations (13.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 181 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x))))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 1)) |
| Outputs |
|---|
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x))))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))))) |
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) |
(*.f64 2 (atan.f64 (-.f64 1 x))) |
(*.f64 2 (atan.f64 1)) |
Compiled 66 to 55 computations (16.7% saved)
| 1× | egg-herbie |
| 1012× | rational.json-simplify-35 |
| 990× | rational.json-simplify-44 |
| 930× | rational.json-simplify-41 |
| 922× | rational.json-simplify-51 |
| 906× | rational.json-simplify-47 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 4959 |
| 1 | 630 | 4729 |
| 2 | 1563 | 4495 |
| 3 | 5477 | 4275 |
| 1× | node limit |
Compiled 619 to 496 computations (19.9% saved)
Compiled 62 to 51 computations (17.7% saved)
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