Time bar (total: 16.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 6.3% | 6.2% | 93.7% | 0.1% | 0% | 0% | 0% | 6 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 7 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 8 |
| 49.1% | 43.7% | 45.3% | 0.1% | 10.9% | 0% | 0% | 9 |
| 49.6% | 43.7% | 44.5% | 0.1% | 11.7% | 0% | 0% | 10 |
| 56.9% | 46.8% | 35.5% | 0.1% | 17.6% | 0% | 0% | 11 |
| 57.3% | 46.8% | 34.9% | 0.1% | 18.1% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 1.7s | 2074× | body | 1024 | valid |
| 1.7s | 2018× | body | 1024 | infinite |
| 1.6s | 5115× | body | 256 | valid |
| 447.0ms | 2080× | body | 256 | infinite |
| 387.0ms | 992× | body | 512 | infinite |
| 320.0ms | 1064× | body | 512 | valid |
| 3.0ms | 3× | body | 2048 | valid |
| 2× | egg-herbie |
| 1522× | rational.json-simplify-51 |
| 1362× | rational.json-simplify-35 |
| 1046× | rational.json-simplify-1 |
| 942× | rational.json-simplify-26 |
| 690× | rational.json-simplify-49 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 27 | 42 |
| 2 | 37 | 42 |
| 3 | 58 | 42 |
| 4 | 99 | 42 |
| 5 | 204 | 42 |
| 6 | 510 | 42 |
| 7 | 826 | 42 |
| 8 | 1575 | 42 |
| 9 | 2246 | 42 |
| 10 | 3840 | 42 |
| 11 | 6422 | 42 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 2044× | rational.json-simplify-1 |
| 1602× | rational.json-simplify-35 |
| 1066× | rational.json-simplify-26 |
| 1030× | rational.json-simplify-2 |
| 954× | rational.json-simplify-48 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 17 | 21 |
| 2 | 22 | 21 |
| 3 | 33 | 21 |
| 4 | 54 | 21 |
| 5 | 107 | 21 |
| 6 | 256 | 21 |
| 7 | 721 | 21 |
| 8 | 1267 | 21 |
| 9 | 2149 | 21 |
| 10 | 2659 | 21 |
| 11 | 3240 | 21 |
| 12 | 4897 | 21 |
| 13 | 5885 | 21 |
| 14 | 6944 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sin.f64 x) |
| ✓ | 0.0b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| ✓ | 0.0b | (sinh.f64 y) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | x | @ | inf | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | y | @ | inf | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | y | @ | inf | (sinh.f64 y) |
| 1× | batch-egg-rewrite |
| 1814× | rational.json-1 |
| 1814× | rational.json-2 |
| 1814× | rational.json-4 |
| 1814× | rational.json-3 |
| 1806× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 64 | 31 |
| 2 | 166 | 31 |
| 3 | 397 | 31 |
| 4 | 1037 | 31 |
| 5 | 4680 | 31 |
| 1× | node limit |
| Inputs |
|---|
(sinh.f64 y) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(sin.f64 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sinh.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sinh.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sinh.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sinh.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (*.f64 -1 (/.f64 y (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) y) (*.f64 (/.f64 1 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) y) (*.f64 1/2 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (+.f64 y y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (+.f64 (/.f64 y (sin.f64 x)) (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (+.f64 y y) (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (*.f64 -2 (/.f64 y (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) y) 2) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) y) 2) (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) y) 2) (*.f64 2 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) y) 2) (*.f64 (/.f64 2 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 4) (+.f64 (/.f64 (+.f64 y y) (sin.f64 x)) (/.f64 (+.f64 y y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 4) (/.f64 (*.f64 y 4) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 4) (*.f64 4 (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 4) (*.f64 (*.f64 y 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(sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 y (neg.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 (+.f64 y y)) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sinh.f64 y)) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (/.f64 y (sinh.f64 y))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (*.f64 (*.f64 2 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y)))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x))) (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (+.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (/.f64 4 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 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y) 4) (/.f64 2 (sin.f64 x))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 2 (sin.f64 x))) (*.f64 y (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 2 (sin.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (/.f64 2 (sin.f64 x))) (*.f64 2 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (/.f64 (sinh.f64 y) y) 2)) (/.f64 2 (sin.f64 x))) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 y (neg.f64 (sin.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (neg.f64 (sin.f64 x)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 y (neg.f64 (sin.f64 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 y (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) (-.f64 0 (*.f64 y (/.f64 2 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (-.f64 0 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (*.f64 (sin.f64 x) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 x))))))) |
| 1× | egg-herbie |
| 1680× | rational.json-simplify-35 |
| 1530× | rational.json-simplify-44 |
| 1302× | rational.json-simplify-47 |
| 1082× | rational.json-simplify-61 |
| 886× | rational.json-simplify-46 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 469 | 5153 |
| 1 | 1621 | 5129 |
| 2 | 7326 | 5125 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(+.f64 (sinh.f64 y) 0) |
(+.f64 0 (sinh.f64 y)) |
(+.f64 -1 (-.f64 1 (neg.f64 (sinh.f64 y)))) |
(-.f64 (sinh.f64 y) 0) |
(-.f64 0 (neg.f64 (sinh.f64 y))) |
(*.f64 (sinh.f64 y) 1) |
(*.f64 1 (sinh.f64 y)) |
(*.f64 (*.f64 (sinh.f64 y) 2) 1/2) |
(*.f64 2 (*.f64 (sinh.f64 y) 1/2)) |
(*.f64 (*.f64 (sinh.f64 y) 4) 1/4) |
(*.f64 (neg.f64 (sinh.f64 y)) -1) |
(*.f64 -1 (neg.f64 (sinh.f64 y))) |
(*.f64 4 (/.f64 (sinh.f64 y) 4)) |
(*.f64 (*.f64 (sinh.f64 y) 8) 1/8) |
(*.f64 1/2 (*.f64 (sinh.f64 y) 2)) |
(*.f64 (*.f64 (sinh.f64 y) -2) -1/2) |
(*.f64 1/4 (*.f64 (sinh.f64 y) 4)) |
(*.f64 (*.f64 (sinh.f64 y) 1/2) 2) |
(/.f64 (sinh.f64 y) 1) |
(/.f64 (*.f64 (sinh.f64 y) 2) 2) |
(/.f64 (*.f64 (sinh.f64 y) 4) 4) |
(/.f64 (neg.f64 (sinh.f64 y)) -1) |
(/.f64 (*.f64 (sinh.f64 y) 8) 8) |
(/.f64 (*.f64 (sinh.f64 y) -2) -2) |
(/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) 16) |
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) -4) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) 2) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) -1) 4) |
(pow.f64 (sinh.f64 y) 1) |
(neg.f64 (neg.f64 (sinh.f64 y))) |
(+.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0) |
(+.f64 0 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) |
(-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0) |
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) |
(/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 1)) |
(/.f64 (sinh.f64 y) (*.f64 -1 (/.f64 y (neg.f64 (sin.f64 x))))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x))) |
(/.f64 (/.f64 (sinh.f64 y) y) (*.f64 (/.f64 1 (sin.f64 x)) 1)) |
(/.f64 (/.f64 (sinh.f64 y) y) (*.f64 1/2 (/.f64 2 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1) |
(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(/.f64 1 (*.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 1)) |
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (+.f64 y y) (sin.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (+.f64 (/.f64 y (sin.f64 x)) (/.f64 y (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (+.f64 y y) (sin.f64 x)) 1)) |
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 -2 (/.f64 y (neg.f64 (sin.f64 x))))) |
(/.f64 2 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x)))) |
(/.f64 2 (+.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(/.f64 2 (*.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x))) 1)) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 2) (/.f64 2 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 2) (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 2) (*.f64 2 (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 2) (*.f64 (/.f64 2 (sin.f64 x)) 1)) |
(/.f64 (*.f64 (sinh.f64 y) 4) (+.f64 (/.f64 (+.f64 y y) (sin.f64 x)) (/.f64 (+.f64 y y) (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 (*.f64 y 4) (sin.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 4 (/.f64 y (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 (*.f64 y 4) (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 2 (/.f64 (+.f64 y y) (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 (+.f64 y y) (/.f64 2 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 -4 (/.f64 y (neg.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 4 (/.f64 (sin.f64 x) y))) |
(/.f64 (*.f64 (sinh.f64 y) (*.f64 2 (/.f64 (sin.f64 x) y))) 2) |
(/.f64 (*.f64 (sin.f64 x) 2) (*.f64 y (/.f64 2 (sinh.f64 y)))) |
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) |
(/.f64 (/.f64 1 y) (*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 (sin.f64 x)))) |
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 y (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 y (neg.f64 (sin.f64 x))) 1)) |
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 (+.f64 y y)) (*.f64 (sin.f64 x) 2))) |
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 (sin.f64 x) y))) |
(/.f64 (/.f64 y (sinh.f64 y)) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))) (/.f64 1 (sin.f64 x)))) |
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x))) |
(/.f64 -1 (*.f64 (neg.f64 (/.f64 y (sinh.f64 y))) (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (*.f64 (*.f64 2 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y)))) (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))) (/.f64 2 (sin.f64 x)))) |
(/.f64 4 (+.f64 (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x))) (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x))))) |
(/.f64 4 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (sin.f64 x))) |
(/.f64 4 (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (/.f64 1 (sin.f64 x)))) |
(/.f64 4 (*.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 2 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x))) 4) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (+.f64 (/.f64 2 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (/.f64 4 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (*.f64 4 (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (*.f64 2 (/.f64 2 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 (*.f64 y 8) (sin.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) 8) (*.f64 8 (/.f64 y (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) 8) (*.f64 (*.f64 y 8) (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) 8) (*.f64 4 (/.f64 (+.f64 y y) (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 y (sinh.f64 y)) 4)) |
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) 1)) |
(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y))) |
(/.f64 1/2 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 2)) (sin.f64 x))) |
(/.f64 1/2 (/.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sin.f64 x) 2))) |
(/.f64 1/2 (/.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 (sin.f64 x) y))) |
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (sinh.f64 y)) (sin.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) -2) (+.f64 (/.f64 y (neg.f64 (sin.f64 x))) (/.f64 y (neg.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (*.f64 y -2) (sin.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (neg.f64 (+.f64 y y)) (sin.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (*.f64 y -2) (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (neg.f64 (+.f64 y y)) (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (neg.f64 y) (/.f64 2 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 2 (/.f64 y (neg.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 2) (*.f64 (sin.f64 x) 2))) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (+.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (*.f64 (/.f64 y (sinh.f64 y)) 4))) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 8 (/.f64 y (sinh.f64 y)))) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (sinh.f64 y) y) 4)) (*.f64 8 (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) (*.f64 (*.f64 2 (*.f64 y 8)) (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 2 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x)))) 8) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 1/2 y)) (/.f64 1/2 (sinh.f64 y))) |
(/.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (*.f64 (*.f64 2 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y)))) (/.f64 2 (sin.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 -1 (sin.f64 x))) |
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (*.f64 -1 (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (/.f64 (sinh.f64 y) y) 2)) (*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y)) (/.f64 1 (*.f64 (sin.f64 x) 2))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y)) (*.f64 1/2 (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 y (*.f64 (sinh.f64 y) 2))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (/.f64 (sin.f64 x) y) 2)) 1/2) |
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) y)) (/.f64 -1 (sin.f64 x))) |
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 (*.f64 2 (*.f64 y -2)) (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 (*.f64 2 (neg.f64 (+.f64 y y))) (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 (neg.f64 (*.f64 y 4)) (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 4 (/.f64 y (neg.f64 (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) (/.f64 (+.f64 y y) (sin.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 (/.f64 y (sinh.f64 y))) 1)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) y)) (+.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 (sinh.f64 y)))) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x)))) (*.f64 2 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x))))) 16) |
(/.f64 (+.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (+.f64 (neg.f64 (/.f64 y (sinh.f64 y))) (neg.f64 (/.f64 y (sinh.f64 y))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) y) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 y (sin.f64 x))) 8) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (/.f64 y (sinh.f64 y))) 8) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) y) |
(/.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 1 (sin.f64 x))) (+.f64 y y)) |
(/.f64 (/.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 y (/.f64 2 (sinh.f64 y)))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (sin.f64 x))) (*.f64 y 4)) |
(/.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 x))) (/.f64 1 (sinh.f64 y))) |
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (neg.f64 y)) |
(/.f64 (/.f64 (/.f64 y (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y)))) |
(/.f64 (/.f64 -1 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 (/.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))))) |
(/.f64 (/.f64 4 (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 y (sinh.f64 y)) 4)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 1 (sin.f64 x))) (*.f64 y 8)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 (sin.f64 x))) (*.f64 y -2)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 (sin.f64 x))) (neg.f64 (+.f64 y y))) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 (sinh.f64 y) y) 4)) (/.f64 1 (sin.f64 x))) 8) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 y 8))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 (sin.f64 x))) -1) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 y -2))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (*.f64 2 (neg.f64 (+.f64 y y)))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 y 4))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) (/.f64 1 (sin.f64 x))) (+.f64 y y)) |
(/.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 y (*.f64 (sinh.f64 y) 2))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x))) y) |
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 2 (sin.f64 x))) (+.f64 y y)) |
(/.f64 (/.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y)))) |
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 x))) (*.f64 y (/.f64 2 (sinh.f64 y)))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 2 (sin.f64 x))) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (/.f64 2 (sin.f64 x))) (*.f64 2 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))))) |
(/.f64 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (/.f64 (sinh.f64 y) y) 2)) (/.f64 2 (sin.f64 x))) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))) -1) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 y (neg.f64 (sin.f64 x)))) -2) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (neg.f64 (sin.f64 x)))) -4) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 y (neg.f64 (sin.f64 x)))) 4) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) y) |
(/.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 y (/.f64 2 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (/.f64 -1 (sinh.f64 y))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) (-.f64 0 (*.f64 y (/.f64 2 (sinh.f64 y))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (-.f64 0 (/.f64 1 (sinh.f64 y)))) |
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1) |
(+.f64 (sin.f64 x) 0) |
(+.f64 0 (sin.f64 x)) |
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x)))) |
(-.f64 (sin.f64 x) 0) |
(-.f64 0 (neg.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) 1) |
(*.f64 1 (sin.f64 x)) |
(*.f64 2 (*.f64 (sin.f64 x) 1/2)) |
(*.f64 (*.f64 (sin.f64 x) 2) 1/2) |
(*.f64 4 (/.f64 (sin.f64 x) 4)) |
(*.f64 (*.f64 (sin.f64 x) 4) 1/4) |
(*.f64 1/2 (*.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 (sin.f64 x) 1/2) 2) |
(*.f64 (neg.f64 (sin.f64 x)) -1) |
(/.f64 (sin.f64 x) 1) |
(/.f64 (*.f64 (sin.f64 x) 2) 2) |
(/.f64 (*.f64 (sin.f64 x) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) 8) |
(/.f64 (neg.f64 (sin.f64 x)) -1) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (*.f64 (sin.f64 x) 4))) 16) |
(pow.f64 (sin.f64 x) 1) |
(neg.f64 (neg.f64 (sin.f64 x))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))) |
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(+.f64 (+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))) (*.f64 1/5040 (pow.f64 y 7))) |
(+.f64 y (+.f64 (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5))) (*.f64 1/5040 (pow.f64 y 7)))) |
(+.f64 y (+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5))))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
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(sin.f64 x) |
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x |
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(sinh.f64 y) |
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(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 x))) (/.f64 1 (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (neg.f64 y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (/.f64 y (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 -1 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 4 (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 y (sinh.f64 y)) 4)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 1 (sin.f64 x))) (*.f64 y 8)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 (sin.f64 x))) (*.f64 y -2)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 (sin.f64 x))) (neg.f64 (+.f64 y y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 (sinh.f64 y) y) 4)) (/.f64 1 (sin.f64 x))) 8) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 y 8))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 (sin.f64 x))) -1) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (*.f64 2 (*.f64 y -2))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (*.f64 2 (neg.f64 (+.f64 y y)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) (neg.f64 (*.f64 y 4))) |
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) 1/4)) (neg.f64 (*.f64 y 4))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) 1/4) (neg.f64 (*.f64 y 4)))) |
(/.f64 (*.f64 (sinh.f64 y) -4) (*.f64 (*.f64 y 4) (/.f64 -1 (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) (/.f64 1 (sin.f64 x))) (+.f64 y y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 y (*.f64 (sinh.f64 y) 2))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x))) y) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 x))) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 2 (sin.f64 x))) (+.f64 y y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 x))) (*.f64 y (/.f64 2 (sinh.f64 y)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 2 (sin.f64 x))) (neg.f64 y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) 4) (/.f64 2 (sin.f64 x))) (*.f64 2 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (/.f64 (sinh.f64 y) y) 2)) (/.f64 2 (sin.f64 x))) (/.f64 y (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 y (*.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) (/.f64 (/.f64 y (sinh.f64 y)) (/.f64 2 (sin.f64 x)))))) |
(/.f64 (sinh.f64 y) (/.f64 (/.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))) (/.f64 (sin.f64 x) y))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))) -1) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 y (neg.f64 (sin.f64 x)))) -2) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (neg.f64 (sin.f64 x)))) -4) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 y (neg.f64 (sin.f64 x)))) 4) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) y) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 y (/.f64 2 (sinh.f64 y)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (/.f64 -1 (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) (-.f64 0 (*.f64 y (/.f64 2 (sinh.f64 y))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 2)) (neg.f64 (*.f64 y (/.f64 2 (sinh.f64 y))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (-.f64 0 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(+.f64 (sin.f64 x) 0) |
(sin.f64 x) |
(+.f64 0 (sin.f64 x)) |
(sin.f64 x) |
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x)))) |
(sin.f64 x) |
(-.f64 (sin.f64 x) 0) |
(sin.f64 x) |
(-.f64 0 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(*.f64 1 (sin.f64 x)) |
(sin.f64 x) |
(*.f64 2 (*.f64 (sin.f64 x) 1/2)) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) 2) 1/2) |
(sin.f64 x) |
(*.f64 4 (/.f64 (sin.f64 x) 4)) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) 4) 1/4) |
(sin.f64 x) |
(*.f64 1/2 (*.f64 (sin.f64 x) 2)) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) 1/2) 2) |
(sin.f64 x) |
(*.f64 (neg.f64 (sin.f64 x)) -1) |
(sin.f64 x) |
(/.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(/.f64 (*.f64 (sin.f64 x) 2) 2) |
(sin.f64 x) |
(/.f64 (*.f64 (sin.f64 x) 4) 4) |
(sin.f64 x) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) 8) |
(sin.f64 x) |
(/.f64 (neg.f64 (sin.f64 x)) -1) |
(sin.f64 x) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (*.f64 (sin.f64 x) 4))) 16) |
(sin.f64 x) |
(pow.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
Compiled 3731 to 1746 computations (53.2% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 250 | 6 | 256 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 251 | 6 | 257 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.2b | (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x))) |
| 18.0b | (/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) | |
| ▶ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) |
| ▶ | 0.2b | (/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x))) |
| ▶ | 28.8b | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| ▶ | 0.3b | (sin.f64 x) |
Compiled 114 to 82 computations (28.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) | |
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (/.f64 y (sin.f64 x)) |
| ✓ | 0.2b | (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 y (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 y (sin.f64 x)) |
| 0.0ms | y | @ | 0 | (/.f64 y (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 y (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1720× | rational.json-1 |
| 1720× | rational.json-2 |
| 1720× | rational.json-4 |
| 1720× | rational.json-3 |
| 1696× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 68 | 32 |
| 2 | 212 | 32 |
| 3 | 647 | 32 |
| 4 | 2303 | 32 |
| 5 | 6189 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) |
(/.f64 y (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)) (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (/.f64 1/2 (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sin.f64 x) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 y y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) (/.f64 (+.f64 y y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 2 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) (/.f64 2 (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 2 (sinh.f64 y))) (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 y y) (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)) (*.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y (sinh.f64 y))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y (sin.f64 x))) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (*.f64 (sin.f64 x) 2)) (/.f64 y (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 y (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (sin.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 y (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 y (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1074× | rational.json-simplify-2 |
| 892× | rational.json-simplify-41 |
| 748× | rational.json-simplify-39 |
| 686× | rational.json-simplify-50 |
| 646× | rational.json-simplify-1 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 2965 |
| 1 | 463 | 2897 |
| 2 | 1042 | 2861 |
| 3 | 3005 | 2793 |
| 4 | 4813 | 2793 |
| 5 | 6508 | 2793 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (*.f64 y x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 y) (*.f64 1/120 y)) (pow.f64 x 3))))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 y) (*.f64 1/120 y)) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/720 y) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 y) (*.f64 1/120 y))) (*.f64 -1/5040 y))) (pow.f64 x 5)))))) |
(+.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 0) |
(+.f64 0 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))) |
(+.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)) (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2))) |
(-.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 0) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 1) |
(*.f64 1 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 1/2 (/.f64 y (sin.f64 x)))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sin.f64 x) y) 1/2)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 y y)) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2)) |
(*.f64 2 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2))) |
(*.f64 2 (/.f64 (sin.f64 x) (/.f64 (+.f64 y y) (sinh.f64 y)))) |
(*.f64 2 (/.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 2)) |
(*.f64 2 (*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (sinh.f64 y))) |
(*.f64 2 (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4))) |
(*.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 2 y))) 1/2) |
(*.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 y (sinh.f64 y)))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 y (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) y) (/.f64 2 (/.f64 2 (sinh.f64 y)))) |
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 (sin.f64 x)))) |
(*.f64 -1 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x))))) |
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 1/2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 2 y)))) |
(*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (*.f64 (sinh.f64 y) 2)) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (*.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (*.f64 (sinh.f64 y) 2)) |
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))) -1) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 y)) |
(*.f64 (/.f64 2 (/.f64 2 (sinh.f64 y))) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 1 y)) |
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)) 2) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 y y) (sinh.f64 y))) 2) |
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)) (*.f64 (sin.f64 x) 4)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 2) 2) |
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)) (*.f64 (sinh.f64 y) 4)) |
(*.f64 (/.f64 -1 (/.f64 y (sinh.f64 y))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
(pow.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 1) |
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x))))) |
(+.f64 (/.f64 y (sin.f64 x)) 0) |
(+.f64 0 (/.f64 y (sin.f64 x))) |
(+.f64 (/.f64 y (*.f64 (sin.f64 x) 2)) (/.f64 y (*.f64 (sin.f64 x) 2))) |
(-.f64 (/.f64 y (sin.f64 x)) 0) |
(-.f64 0 (/.f64 y (neg.f64 (sin.f64 x)))) |
(*.f64 y (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 y (sin.f64 x)) 1) |
(*.f64 1 (/.f64 y (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 y (sin.f64 x)) 2) 1/2) |
(*.f64 (+.f64 y y) (/.f64 1/2 (sin.f64 x))) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 1 (sin.f64 x)) 1/2)) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) 2))) |
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) 2)) |
(*.f64 2 (*.f64 (/.f64 1/2 (sin.f64 x)) y)) |
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (sin.f64 x) 4))) |
(*.f64 (*.f64 (/.f64 y (sin.f64 x)) 4) 1/4) |
(*.f64 (/.f64 1 (sin.f64 x)) y) |
(*.f64 (neg.f64 y) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 y (neg.f64 (sin.f64 x))) -1) |
(*.f64 -1 (/.f64 y (neg.f64 (sin.f64 x)))) |
(*.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (/.f64 y 2)) |
(*.f64 1/2 (*.f64 (/.f64 y (sin.f64 x)) 2)) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 y y)) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (+.f64 y y)) |
(*.f64 (/.f64 y (*.f64 (sin.f64 x) 2)) 2) |
(*.f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 x)) 2) 2) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 y 4)) |
(*.f64 1/4 (*.f64 (/.f64 y (sin.f64 x)) 4)) |
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 y)) |
(pow.f64 (/.f64 y (sin.f64 x)) 1) |
(neg.f64 (/.f64 y (neg.f64 (sin.f64 x)))) |
| Outputs |
|---|
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2)))) |
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 y 2)) 1)) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4))))) |
(+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))) (+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 4) 1/120)) (sin.f64 x))) |
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(+.f64 (sin.f64 x) (+.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 6)))) (*.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4))))) |
(+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 4) 1/120)) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))) (+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 6) 1/5040)) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/5040 (pow.f64 y 6))) (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4)))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 y 2)) 1)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))) |
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 3) y)))) |
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12))) |
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (/.f64 (pow.f64 x 3) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (*.f64 1/240 (*.f64 (pow.f64 x 5) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))) |
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 3) y))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 5) y))))) |
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 5) y) 1/240)))) |
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (/.f64 (pow.f64 x 3) y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 1/240 (/.f64 (pow.f64 x 5) y))))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 1/240 (*.f64 (pow.f64 x 5) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 7)) y))))) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 3) y))) (+.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 5) y)))) (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 7) y))))) |
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 5) y) 1/240)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 7) y) -1/10080))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)))) |
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (/.f64 (pow.f64 x 3) y))) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 1/240 (/.f64 (pow.f64 x 5) y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/10080 (/.f64 (pow.f64 x 7) y)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 x y))) |
(+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y))) |
(+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (*.f64 y x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 y) (*.f64 1/120 y)) (pow.f64 x 3))))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (*.f64 x y)) (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 y -1/36) (*.f64 y 1/120)))))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 x (*.f64 1/6 y)) (*.f64 (*.f64 y -7/360) (neg.f64 (pow.f64 x 3))))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 y (*.f64 x 1/6)) (*.f64 (pow.f64 x 3) (*.f64 y 7/360)))) |
(+.f64 (/.f64 y x) (*.f64 y (+.f64 (*.f64 x 1/6) (*.f64 (neg.f64 (pow.f64 x 3)) -7/360)))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 y) (*.f64 1/120 y)) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/720 y) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 y) (*.f64 1/120 y))) (*.f64 -1/5040 y))) (pow.f64 x 5)))))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (*.f64 x y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 y -1/36) (*.f64 y 1/120)))) (*.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (*.f64 1/6 (+.f64 (*.f64 y -1/36) (*.f64 y 1/120))) (+.f64 (*.f64 y -1/5040) (*.f64 y 1/720)))))))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 x (*.f64 1/6 y)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 x 3) (*.f64 y -7/360)) (*.f64 (pow.f64 x 5) (+.f64 (*.f64 1/6 (*.f64 y -7/360)) (*.f64 y 1/840))))))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 y (*.f64 x 1/6)) (+.f64 (*.f64 (pow.f64 x 3) (*.f64 y 7/360)) (*.f64 (pow.f64 x 5) (neg.f64 (+.f64 (*.f64 y -7/2160) (*.f64 y 1/840))))))) |
(+.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (*.f64 (neg.f64 (pow.f64 x 3)) -7/360))) (+.f64 (/.f64 y x) (*.f64 (pow.f64 x 5) (neg.f64 (*.f64 y -31/15120))))) |
(+.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 0) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(+.f64 0 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(+.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)) (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(-.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 0) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 1) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 1 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 1/2 (/.f64 y (sin.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sin.f64 x) y) 1/2)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 y y)) (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 2 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 2 (/.f64 (sin.f64 x) (/.f64 (+.f64 y y) (sinh.f64 y)))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 2 (/.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 2)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 2 (*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (sinh.f64 y))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 2 (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 2 y))) 1/2) |
(*.f64 1/2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 2 y)))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 y)))) |
(*.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 y (sinh.f64 y)))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 y (sin.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 x) y) (/.f64 2 (/.f64 2 (sinh.f64 y)))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 (sin.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 -1 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x))))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 1 y) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
(*.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 1 y) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
(*.f64 1/2 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 2 y)))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 y)))) |
(*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (*.f64 (sinh.f64 y) 2)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (*.f64 (sin.f64 x) 2)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (*.f64 (sinh.f64 y) 2)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (sinh.f64 y) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x)))) -1) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 y)) |
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 1 y) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
(*.f64 (/.f64 2 (/.f64 2 (sinh.f64 y))) (/.f64 (sin.f64 x) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 1 y)) |
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 1 y) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 y (sin.f64 x)) 2)) 2) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 y y) (sinh.f64 y))) 2) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)) (*.f64 (sin.f64 x) 4)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 2) 2) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)) (*.f64 (sinh.f64 y) 4)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 -1 (/.f64 y (sinh.f64 y))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(pow.f64 (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) 1) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 (sin.f64 x))))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(+.f64 (/.f64 y (sin.f64 x)) 0) |
(/.f64 y (sin.f64 x)) |
(+.f64 0 (/.f64 y (sin.f64 x))) |
(/.f64 y (sin.f64 x)) |
(+.f64 (/.f64 y (*.f64 (sin.f64 x) 2)) (/.f64 y (*.f64 (sin.f64 x) 2))) |
(/.f64 y (sin.f64 x)) |
(-.f64 (/.f64 y (sin.f64 x)) 0) |
(/.f64 y (sin.f64 x)) |
(-.f64 0 (/.f64 y (neg.f64 (sin.f64 x)))) |
(/.f64 y (sin.f64 x)) |
(*.f64 y (/.f64 1 (sin.f64 x))) |
(/.f64 y (sin.f64 x)) |
(*.f64 (/.f64 y (sin.f64 x)) 1) |
(/.f64 y (sin.f64 x)) |
(*.f64 1 (/.f64 y (sin.f64 x))) |
(/.f64 y (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 y (sin.f64 x)) 2) 1/2) |
(/.f64 y (sin.f64 x)) |
(*.f64 (+.f64 y y) (/.f64 1/2 (sin.f64 x))) |
(/.f64 y (sin.f64 x)) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 1 (sin.f64 x)) 1/2)) |
(/.f64 y (sin.f64 x)) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) 2))) |
(/.f64 y (sin.f64 x)) |
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) 2)) |
(/.f64 y (sin.f64 x)) |
(*.f64 2 (*.f64 (/.f64 1/2 (sin.f64 x)) y)) |
(/.f64 y (sin.f64 x)) |
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (sin.f64 x) 4))) |
(*.f64 y (*.f64 4 (/.f64 1 (*.f64 (sin.f64 x) 4)))) |
(*.f64 y (*.f64 4 (/.f64 1/4 (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 y (sin.f64 x)) 4) 1/4) |
(/.f64 y (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) y) |
(/.f64 y (sin.f64 x)) |
(*.f64 (neg.f64 y) (/.f64 -1 (sin.f64 x))) |
(/.f64 y (sin.f64 x)) |
(*.f64 (/.f64 y (neg.f64 (sin.f64 x))) -1) |
(/.f64 y (sin.f64 x)) |
(*.f64 -1 (/.f64 y (neg.f64 (sin.f64 x)))) |
(/.f64 y (sin.f64 x)) |
(*.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (/.f64 y 2)) |
(/.f64 y (sin.f64 x)) |
(*.f64 1/2 (*.f64 (/.f64 y (sin.f64 x)) 2)) |
(/.f64 y (sin.f64 x)) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 y y)) |
(/.f64 y (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (+.f64 y y)) |
(/.f64 y (sin.f64 x)) |
(*.f64 (/.f64 y (*.f64 (sin.f64 x) 2)) 2) |
(/.f64 y (sin.f64 x)) |
(*.f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (sin.f64 x)))) |
(/.f64 y (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 y (sin.f64 x)) 2) 2) |
(/.f64 y (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 y 4)) |
(*.f64 y (*.f64 4 (/.f64 1 (*.f64 (sin.f64 x) 4)))) |
(*.f64 y (*.f64 4 (/.f64 1/4 (sin.f64 x)))) |
(*.f64 1/4 (*.f64 (/.f64 y (sin.f64 x)) 4)) |
(/.f64 y (sin.f64 x)) |
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 y)) |
(/.f64 y (sin.f64 x)) |
(pow.f64 (/.f64 y (sin.f64 x)) 1) |
(/.f64 y (sin.f64 x)) |
(neg.f64 (/.f64 y (neg.f64 (sin.f64 x)))) |
(/.f64 y (sin.f64 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) |
Compiled 5 to 3 computations (40% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| 0.0b | (sinh.f64 y) |
Compiled 16 to 5 computations (68.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| 1.0ms | x | @ | 0 | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| 1.0ms | y | @ | inf | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| 0.0ms | x | @ | inf | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| 0.0ms | y | @ | 0 | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| 1× | batch-egg-rewrite |
| 1688× | rational.json-1 |
| 1688× | rational.json-2 |
| 1688× | rational.json-4 |
| 1688× | rational.json-3 |
| 1680× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 54 | 17 |
| 2 | 135 | 17 |
| 3 | 331 | 17 |
| 4 | 878 | 17 |
| 5 | 4278 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
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(*.f64 (sinh.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x y)) (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x)))))))) |
| 1× | egg-herbie |
| 1602× | rational.json-simplify-35 |
| 1482× | rational.json-simplify-2 |
| 892× | rational.json-simplify-51 |
| 830× | rational.json-simplify-61 |
| 736× | rational.json-simplify-1 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 362 | 3803 |
| 1 | 1418 | 3791 |
| 2 | 5158 | 3703 |
| 3 | 7938 | 3703 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0) |
(+.f64 0 (*.f64 x (/.f64 (sinh.f64 y) y))) |
(-.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0) |
(/.f64 x (/.f64 y (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 y x)) |
(/.f64 (sinh.f64 y) (*.f64 (/.f64 y x) 1)) |
(/.f64 (sinh.f64 y) (*.f64 -1 (/.f64 y (neg.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 x)) |
(/.f64 (/.f64 (sinh.f64 y) y) (*.f64 (/.f64 1 x) 1)) |
(/.f64 (/.f64 (sinh.f64 y) y) (*.f64 1/2 (/.f64 2 x))) |
(/.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1) |
(/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y))) |
(/.f64 1 (*.f64 (/.f64 (/.f64 y x) (sinh.f64 y)) 1)) |
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 y (/.f64 2 x))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (+.f64 (/.f64 y x) (/.f64 y x))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (*.f64 y (/.f64 2 x)) 1)) |
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 -2 (/.f64 y (neg.f64 x)))) |
(/.f64 2 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) x)) |
(/.f64 2 (+.f64 (/.f64 (/.f64 y x) (sinh.f64 y)) (/.f64 (/.f64 y x) (sinh.f64 y)))) |
(/.f64 2 (*.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) x) 1)) |
(/.f64 (*.f64 (sinh.f64 y) (*.f64 2 (/.f64 x y))) 2) |
(/.f64 (+.f64 x x) (/.f64 y (*.f64 (sinh.f64 y) 1/2))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (/.f64 2 x)) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (+.f64 (/.f64 1 x) (/.f64 1 x))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (*.f64 2 (/.f64 1 x))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (*.f64 (/.f64 2 x) 1)) |
(/.f64 (*.f64 (sinh.f64 y) 4) (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 y (/.f64 2 x)))) |
(/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 (*.f64 y 4) x)) |
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 4 (/.f64 y x))) |
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 (*.f64 y 4) (/.f64 1 x))) |
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 2 (*.f64 y (/.f64 2 x)))) |
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 (+.f64 y y) (/.f64 2 x))) |
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 -4 (/.f64 y (neg.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 4 (/.f64 x y))) |
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sinh.f64 y)) x)) |
(/.f64 (/.f64 1 y) (*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 x))) |
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 y (neg.f64 x))) |
(/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 y (neg.f64 x)) 1)) |
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 (+.f64 y y)) (+.f64 x x))) |
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 x y))) |
(/.f64 (/.f64 y (sinh.f64 y)) (*.f64 (*.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y))) (/.f64 1 x))) |
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) x)) |
(/.f64 -1 (*.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (/.f64 1 x))) |
(/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 (sinh.f64 y) 1/2))) (/.f64 1 x))) |
(/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) (*.f64 (*.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y))) (/.f64 2 x))) |
(/.f64 4 (+.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) x) (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) x))) |
(/.f64 4 (/.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)) x)) |
(/.f64 4 (*.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)) (/.f64 1 x))) |
(/.f64 4 (*.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) (/.f64 2 x))) |
(/.f64 (*.f64 x (*.f64 (/.f64 (sinh.f64 y) y) 4)) 4) |
(/.f64 (*.f64 x 4) (/.f64 (*.f64 y 4) (sinh.f64 y))) |
(/.f64 (*.f64 x 4) (*.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)) 1)) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (+.f64 (/.f64 2 x) (/.f64 2 x))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (/.f64 4 x)) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (*.f64 4 (/.f64 1 x))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (*.f64 2 (/.f64 2 x))) |
(/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 (*.f64 y 8) x)) |
(/.f64 (*.f64 (sinh.f64 y) 8) (*.f64 8 (/.f64 y x))) |
(/.f64 (*.f64 (sinh.f64 y) 8) (*.f64 (*.f64 y 8) (/.f64 1 x))) |
(/.f64 (*.f64 (sinh.f64 y) 8) (*.f64 4 (*.f64 y (/.f64 2 x)))) |
(/.f64 (/.f64 x y) (/.f64 1 (sinh.f64 y))) |
(/.f64 1/2 (/.f64 (*.f64 1/2 (/.f64 y (sinh.f64 y))) x)) |
(/.f64 1/2 (/.f64 (/.f64 y (sinh.f64 y)) (+.f64 x x))) |
(/.f64 1/2 (/.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 x y))) |
(/.f64 (/.f64 1/2 y) (/.f64 (/.f64 1/2 (sinh.f64 y)) x)) |
(/.f64 (*.f64 (sinh.f64 y) -2) (+.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (*.f64 y -2) x)) |
(/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (neg.f64 (+.f64 y y)) x)) |
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (*.f64 y -2) (/.f64 1 x))) |
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (neg.f64 (+.f64 y y)) (/.f64 1 x))) |
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (neg.f64 y) (/.f64 2 x))) |
(/.f64 (*.f64 (sinh.f64 y) -2) (*.f64 2 (/.f64 y (neg.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (+.f64 x x))) |
(/.f64 (*.f64 2 (*.f64 x (*.f64 (/.f64 (sinh.f64 y) y) 4))) 8) |
(/.f64 (*.f64 2 (*.f64 x 4)) (+.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)) (/.f64 (*.f64 y 4) (sinh.f64 y)))) |
(/.f64 (*.f64 2 (*.f64 x 4)) (*.f64 8 (/.f64 y (sinh.f64 y)))) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (sinh.f64 y) y) 4)) (*.f64 8 (/.f64 1 x))) |
(/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) (*.f64 (*.f64 2 (*.f64 y 8)) (/.f64 1 x))) |
(/.f64 (*.f64 x (/.f64 1/2 y)) (/.f64 1/2 (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 (sinh.f64 y) 1/2))) (/.f64 2 x))) |
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 -1 x)) |
(/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (*.f64 -1 (/.f64 1 x))) |
(/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sinh.f64 y) (/.f64 2 y))) (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) x)) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y)) (/.f64 1 (+.f64 x x))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 (*.f64 x 1/2) (*.f64 1/2 (/.f64 y (sinh.f64 y)))) |
(/.f64 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 1/2 y))) 1/2) |
(/.f64 (neg.f64 x) (/.f64 y (neg.f64 (sinh.f64 y)))) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 y (neg.f64 (sinh.f64 y))) 1)) |
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 (*.f64 2 (*.f64 y -2)) (/.f64 1 x))) |
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 (*.f64 2 (neg.f64 (+.f64 y y))) (/.f64 1 x))) |
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 (neg.f64 (*.f64 y 4)) (/.f64 1 x))) |
(/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (*.f64 4 (/.f64 y (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) (*.f64 y (/.f64 2 x))) |
(/.f64 (+.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 (sinh.f64 y)))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 x (*.f64 (/.f64 (sinh.f64 y) y) 4))) (*.f64 2 (*.f64 x (*.f64 (/.f64 (sinh.f64 y) y) 4)))) 16) |
(/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (+.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (/.f64 y (neg.f64 (sinh.f64 y))))) |
(/.f64 (/.f64 (*.f64 2 (*.f64 x 4)) (/.f64 y (sinh.f64 y))) 8) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 y x)) 8) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) y) |
(/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 1 x)) (+.f64 y y)) |
(/.f64 (/.f64 2 (/.f64 1 x)) (/.f64 y (*.f64 (sinh.f64 y) 1/2))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 x)) (*.f64 y 4)) |
(/.f64 (/.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (sinh.f64 y))) |
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 x)) (neg.f64 y)) |
(/.f64 (/.f64 (/.f64 y (sinh.f64 y)) (/.f64 1 x)) (*.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y)))) |
(/.f64 (/.f64 -1 (/.f64 1 x)) (/.f64 y (neg.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) (/.f64 1 x)) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 (sinh.f64 y) 1/2)))) |
(/.f64 (/.f64 4 (/.f64 1 x)) (/.f64 (*.f64 y 4) (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 1 x)) (*.f64 y 8)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 x)) (*.f64 y -2)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 x)) (neg.f64 (+.f64 y y))) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 (sinh.f64 y) y) 4)) (/.f64 1 x)) 8) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) (/.f64 1 x)) (*.f64 2 (*.f64 y 8))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 x)) -1) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 x)) (*.f64 2 (*.f64 y -2))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 x)) (*.f64 2 (neg.f64 (+.f64 y y)))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 x)) (neg.f64 (*.f64 y 4))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) (/.f64 1 x)) (+.f64 y y)) |
(/.f64 (/.f64 1 (/.f64 2 x)) (*.f64 1/2 (/.f64 y (sinh.f64 y)))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 x)) y) |
(/.f64 (/.f64 2 (/.f64 2 x)) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 2 x)) (+.f64 y y)) |
(/.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) (/.f64 2 x)) (*.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y)))) |
(/.f64 (/.f64 4 (/.f64 2 x)) (/.f64 y (*.f64 (sinh.f64 y) 1/2))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 2 x)) (neg.f64 y)) |
(/.f64 (/.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)) (/.f64 2 x)) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 (sinh.f64 y) 1/2)))) |
(/.f64 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sinh.f64 y) (/.f64 2 y))) (/.f64 2 x)) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))) -1) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 y (neg.f64 x))) -2) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (neg.f64 x))) -4) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 y (neg.f64 x))) 4) |
(/.f64 (/.f64 x (/.f64 1 (sinh.f64 y))) y) |
(/.f64 (/.f64 (+.f64 x x) y) (/.f64 2 (sinh.f64 y))) |
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 -1 (sinh.f64 y))) |
(/.f64 (/.f64 x 1/2) (/.f64 y (*.f64 (sinh.f64 y) 1/2))) |
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)))) |
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 -1 (sinh.f64 y))) |
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sinh.f64 y))) |
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1) |
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 x))) |
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x)))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 x (*.f64 (pow.f64 y 2) (*.f64 x 1/6))) |
(+.f64 x (*.f64 x (*.f64 (pow.f64 y 2) 1/6))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 (pow.f64 y 4) (*.f64 x 1/120)) (+.f64 x (*.f64 (pow.f64 y 2) (*.f64 x 1/6)))) |
(+.f64 x (+.f64 (*.f64 x (*.f64 (pow.f64 y 2) 1/6)) (*.f64 x (*.f64 (pow.f64 y 4) 1/120)))) |
(+.f64 x (+.f64 (*.f64 (pow.f64 y 2) (*.f64 x 1/6)) (*.f64 x (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(+.f64 (*.f64 (pow.f64 y 2) (*.f64 x 1/6)) (+.f64 (*.f64 (pow.f64 y 4) (*.f64 x 1/120)) (+.f64 x (*.f64 (pow.f64 y 6) (*.f64 x 1/5040))))) |
(+.f64 (*.f64 (pow.f64 y 6) (*.f64 x 1/5040)) (+.f64 x (+.f64 (*.f64 x (*.f64 (pow.f64 y 2) 1/6)) (*.f64 x (*.f64 (pow.f64 y 4) 1/120))))) |
(+.f64 x (+.f64 (+.f64 (*.f64 (pow.f64 y 2) (*.f64 x 1/6)) (*.f64 x (*.f64 1/120 (pow.f64 y 4)))) (*.f64 (pow.f64 y 6) (*.f64 x 1/5040)))) |
(+.f64 x (+.f64 (*.f64 (pow.f64 y 6) (*.f64 x 1/5040)) (+.f64 (*.f64 (pow.f64 y 2) (*.f64 x 1/6)) (*.f64 x (*.f64 1/120 (pow.f64 y 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(+.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(+.f64 0 (*.f64 x (/.f64 (sinh.f64 y) y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(-.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 x (/.f64 y (sinh.f64 y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (sinh.f64 y) (/.f64 y x)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (sinh.f64 y) (*.f64 (/.f64 y x) 1)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (sinh.f64 y) (*.f64 -1 (/.f64 y (neg.f64 x)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 x)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
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(/.f64 (/.f64 (*.f64 2 (*.f64 x 4)) (/.f64 y (sinh.f64 y))) 8) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 y x)) 8) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (sinh.f64 y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 1 x)) (+.f64 y y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 2 (/.f64 1 x)) (/.f64 y (*.f64 (sinh.f64 y) 1/2))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 x)) (*.f64 y 4)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (sinh.f64 y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 x)) (neg.f64 y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (/.f64 y (sinh.f64 y)) (/.f64 1 x)) (*.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y)))) |
(/.f64 (/.f64 y (*.f64 (sinh.f64 y) (/.f64 1 x))) (*.f64 y (/.f64 y (*.f64 (sinh.f64 y) (sinh.f64 y))))) |
(/.f64 (*.f64 (sinh.f64 y) (sinh.f64 y)) (/.f64 y (/.f64 (/.f64 x y) (/.f64 (sinh.f64 y) (/.f64 y 1))))) |
(/.f64 y (*.f64 (sinh.f64 y) (*.f64 (/.f64 y x) (/.f64 y (*.f64 (sinh.f64 y) (sinh.f64 y)))))) |
(/.f64 (/.f64 -1 (/.f64 1 x)) (/.f64 y (neg.f64 (sinh.f64 y)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) (/.f64 1 x)) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 (sinh.f64 y) 1/2)))) |
(/.f64 (/.f64 y (*.f64 (*.f64 1/2 (sinh.f64 y)) (/.f64 1 x))) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 1/2 (sinh.f64 y))))) |
(/.f64 y (*.f64 (/.f64 1 x) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 (/.f64 y 1/2) (sinh.f64 y))) (*.f64 1/2 (sinh.f64 y))))) |
(/.f64 (+.f64 (/.f64 (*.f64 1/2 (sinh.f64 y)) y) (/.f64 (*.f64 1/2 (sinh.f64 y)) y)) (/.f64 1 x)) |
(/.f64 (/.f64 4 (/.f64 1 x)) (/.f64 (*.f64 y 4) (sinh.f64 y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 8) (/.f64 1 x)) (*.f64 y 8)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 x)) (*.f64 y -2)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 x)) (neg.f64 (+.f64 y y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 (sinh.f64 y) y) 4)) (/.f64 1 x)) 8) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 8)) (/.f64 1 x)) (*.f64 2 (*.f64 y 8))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 x)) -1) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 x)) (*.f64 2 (*.f64 y -2))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 x)) (*.f64 2 (neg.f64 (+.f64 y y)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 1 x)) (neg.f64 (*.f64 y 4))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) -2)) (/.f64 1 x)) (+.f64 y y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 1 (/.f64 2 x)) (*.f64 1/2 (/.f64 y (sinh.f64 y)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 x)) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 2 (/.f64 2 x)) (/.f64 y (sinh.f64 y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 2 x)) (+.f64 y y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)) (/.f64 2 x)) (*.f64 y (/.f64 (/.f64 y (sinh.f64 y)) (sinh.f64 y)))) |
(/.f64 (/.f64 y (*.f64 (sinh.f64 y) (/.f64 1 x))) (*.f64 y (/.f64 y (*.f64 (sinh.f64 y) (sinh.f64 y))))) |
(/.f64 (*.f64 (sinh.f64 y) (sinh.f64 y)) (/.f64 y (/.f64 (/.f64 x y) (/.f64 (sinh.f64 y) (/.f64 y 1))))) |
(/.f64 y (*.f64 (sinh.f64 y) (*.f64 (/.f64 y x) (/.f64 y (*.f64 (sinh.f64 y) (sinh.f64 y)))))) |
(/.f64 (/.f64 4 (/.f64 2 x)) (/.f64 y (*.f64 (sinh.f64 y) 1/2))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) -2) (/.f64 2 x)) (neg.f64 y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)) (/.f64 2 x)) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 (sinh.f64 y) 1/2)))) |
(/.f64 (/.f64 y (*.f64 (*.f64 1/2 (sinh.f64 y)) (/.f64 1 x))) (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (*.f64 1/2 (sinh.f64 y))))) |
(/.f64 y (*.f64 (/.f64 1 x) (*.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 (/.f64 y 1/2) (sinh.f64 y))) (*.f64 1/2 (sinh.f64 y))))) |
(/.f64 (+.f64 (/.f64 (*.f64 1/2 (sinh.f64 y)) y) (/.f64 (*.f64 1/2 (sinh.f64 y)) y)) (/.f64 1 x)) |
(/.f64 (/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sinh.f64 y) (/.f64 2 y))) (/.f64 2 x)) (/.f64 y (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 y (*.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (/.f64 (/.f64 y (sinh.f64 y)) (/.f64 2 x))))) |
(/.f64 (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sinh.f64 y) (/.f64 x y))) (/.f64 y (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 y (*.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sinh.f64 y) (/.f64 x y))))) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))) -1) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 y (neg.f64 x))) -2) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (neg.f64 x))) -4) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sinh.f64 y))) (/.f64 y (neg.f64 x))) 4) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 x (/.f64 1 (sinh.f64 y))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (+.f64 x x) y) (/.f64 2 (sinh.f64 y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 -1 (sinh.f64 y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 x 1/2) (/.f64 y (*.f64 (sinh.f64 y) 1/2))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (/.f64 y (*.f64 (sinh.f64 y) 1/2)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 -1 (sinh.f64 y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sinh.f64 y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 x))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) | |
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (/.f64 1 (sin.f64 x)) |
| ✓ | 0.2b | (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x))) |
Compiled 26 to 11 computations (57.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 1 (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x))) |
| 0.0ms | y | @ | 0 | (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1564× | exponential.json-3 |
| 1564× | rational.json-1 |
| 1564× | rational.json-2 |
| 1564× | rational.json-4 |
| 1564× | rational.json-3 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 1 | 94 | 32 |
| 2 | 296 | 32 |
| 3 | 1005 | 32 |
| 4 | 4414 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x))) |
(/.f64 1 (sin.f64 x)) |
| Outputs |
|---|
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y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 -1 (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (neg.f64 (/.f64 y (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 -1 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 2 (sin.f64 x))) (*.f64 2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 2 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 4)) (*.f64 (/.f64 (sinh.f64 y) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1 (sin.f64 x))) (/.f64 (sinh.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))) (*.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 y 4))) (*.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 y (/.f64 2 (sinh.f64 y))))) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (/.f64 (sinh.f64 y) 4))) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 y (/.f64 (sinh.f64 y) 4))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (/.f64 -1 (sin.f64 x)))) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (/.f64 y (sin.f64 x)))) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 y)) (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (neg.f64 x)) (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 -1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (/.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 2) (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 1 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1002× | rational.json-simplify-35 |
| 814× | rational.json-simplify-51 |
| 778× | rational.json-simplify-1 |
| 776× | rational.json-simplify-44 |
| 754× | rational.json-simplify-2 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 3767 |
| 1 | 601 | 3743 |
| 2 | 1494 | 3695 |
| 3 | 4588 | 3667 |
| 4 | 6928 | 3667 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(/.f64 1 x) |
(+.f64 (*.f64 1/6 x) (/.f64 1 x)) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 0) |
(+.f64 0 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))) |
(-.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 0) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) |
(*.f64 1 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))))) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 1) |
(*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) (+.f64 y y))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (sin.f64 x) (/.f64 1/2 y))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 (sin.f64 x) y) 1/2)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) 2))) |
(*.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (/.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 (sinh.f64 y) (/.f64 2 y)) (*.f64 (sin.f64 x) 1/2)) |
(*.f64 2 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 2 (sin.f64 x)))) |
(*.f64 2 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x))))) |
(*.f64 2 (/.f64 (sin.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y))))) |
(*.f64 2 (/.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 2)) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sinh.f64 y) (/.f64 1/2 y))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (/.f64 y (/.f64 (sinh.f64 y) 4)))) |
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 y)) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))))) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 y))) 1/2) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 4) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 4))) |
(*.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 y 4)))) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 2 (*.f64 y (/.f64 2 (sinh.f64 y)))))) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (/.f64 y (/.f64 (sinh.f64 y) 4)))) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (/.f64 1/2 y)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (/.f64 1 y) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y)))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (*.f64 y (/.f64 -1 (sin.f64 x))))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 (/.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (sin.f64 (neg.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 (/.f64 -1 (sin.f64 x)))) |
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x))) (/.f64 1 (neg.f64 y))) |
(*.f64 -1 (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y)))) |
(*.f64 -1 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 -1 (sin.f64 x))))) |
(*.f64 -1 (/.f64 (sinh.f64 y) (neg.f64 (/.f64 y (sin.f64 x))))) |
(*.f64 -1 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 -1 (sin.f64 x)))) |
(*.f64 -1 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 y))) |
(*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(*.f64 (*.f64 2 (/.f64 1 y)) (/.f64 (sinh.f64 y) (/.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) (*.f64 (sinh.f64 y) 1/2)) |
(*.f64 (/.f64 (sin.f64 x) 2) (*.f64 (sinh.f64 y) (/.f64 2 y))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 y y)) (*.f64 (sinh.f64 y) 2)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 2 y)))) |
(*.f64 (/.f64 1/2 y) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) |
(*.f64 (*.f64 (sinh.f64 y) 1/2) (*.f64 (sin.f64 x) (/.f64 2 y))) |
(*.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y)) (*.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sinh.f64 y) (/.f64 2 y))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 1/2 y)) (*.f64 (sinh.f64 y) 2)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (*.f64 (sinh.f64 y) 2)) |
(*.f64 (*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) 2)) (*.f64 (sinh.f64 y) 2)) |
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))) -1) |
(*.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 -1 (sin.f64 x)))) -1) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 (/.f64 y (sin.f64 x)))) -1) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 -1 (sin.f64 x))) -1) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 y)) -1) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 2 (sin.f64 x))) (*.f64 2 (/.f64 1 y))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 2 (sin.f64 x))) 2) |
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 4)) (*.f64 (/.f64 (sinh.f64 y) y) 4)) |
(*.f64 (/.f64 1 (/.f64 -1 (sin.f64 x))) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))) 2) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y)))) 2) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 2) 2) |
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 y 4))) (*.f64 (sinh.f64 y) 4)) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 y (/.f64 2 (sinh.f64 y))))) (*.f64 (sin.f64 x) 4)) |
(*.f64 (/.f64 1 (/.f64 y (/.f64 (sinh.f64 y) 4))) (*.f64 (sin.f64 x) 4)) |
(*.f64 (/.f64 2 (/.f64 y (/.f64 (sinh.f64 y) 4))) (*.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (*.f64 y (/.f64 -1 (sin.f64 x)))) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (neg.f64 (/.f64 y (sin.f64 x)))) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) |
(pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 1) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 (sin.f64 x)))) |
(neg.f64 (/.f64 (sin.f64 (neg.f64 x)) (/.f64 y (sinh.f64 y)))) |
(neg.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y)))) |
(neg.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 -1 (sin.f64 x))))) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (/.f64 y (sin.f64 x))))) |
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 -1 (sin.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 y))) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(+.f64 0 (/.f64 1 (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) 0) |
(-.f64 0 (/.f64 -1 (sin.f64 x))) |
(*.f64 1 (/.f64 1 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) 1) |
(*.f64 (/.f64 2 (sin.f64 x)) 1/2) |
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) 2)) |
(*.f64 2 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4) 1/4) |
(*.f64 (/.f64 -1 (sin.f64 x)) -1) |
(*.f64 -1 (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) 2) (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2)) |
(*.f64 1/2 (/.f64 2 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 2) 2) |
(*.f64 1/4 (*.f64 (/.f64 1 (sin.f64 x)) 4)) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) 2) |
(pow.f64 (/.f64 1 (sin.f64 x)) 1) |
(neg.f64 (/.f64 -1 (sin.f64 x))) |
(neg.f64 (/.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
| Outputs |
|---|
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2)))) |
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 2) 1/6))) |
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 y 2)) 1)) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4))))) |
(+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 2) 1/6)) (+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 4) 1/120)) (sin.f64 x))) |
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))) (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(+.f64 (sin.f64 x) (+.f64 (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 6)))) (*.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4))))) |
(+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 4) 1/120)) (+.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 y 2) 1/6)) (+.f64 (*.f64 (pow.f64 y 6) (*.f64 (sin.f64 x) 1/5040)) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2))) (+.f64 (*.f64 (sin.f64 x) (*.f64 1/5040 (pow.f64 y 6))) (*.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 y 4)))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 y 2)) 1)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 1/5040 (pow.f64 y 6))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 x (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))) |
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 3) y)))) |
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12))) |
(+.f64 (*.f64 x (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (*.f64 1/240 (*.f64 (pow.f64 x 5) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))) |
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 3) y))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 5) y))))) |
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 5) y) 1/240)))) |
(+.f64 (*.f64 x (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 5) y) 1/240)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 1/240 (*.f64 (pow.f64 x 5) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 7)) y))))) |
(+.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 3) y))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 5) y))))) (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x 7) y)))) |
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 5) y) 1/240)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 7) y) -1/10080))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)))) |
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 5) y) 1/240)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 7) y) -1/10080))))) |
(+.f64 (*.f64 x (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 3) y) -1/12)) (+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 5) y) 1/240)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 (pow.f64 x 7) y) -1/10080))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(/.f64 1 x) |
(+.f64 (*.f64 1/6 x) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (*.f64 x 1/6)) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (*.f64 x 1/6) (+.f64 (/.f64 1 x) (*.f64 (pow.f64 x 3) 7/360))) |
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (*.f64 (pow.f64 x 3) 7/360))) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))) |
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(*.f64 4 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (*.f64 y 4)))) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 y (/.f64 2 (sinh.f64 y))))) (*.f64 (sin.f64 x) 4)) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1/2 (*.f64 y (/.f64 2 (sinh.f64 y))))) |
(*.f64 4 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (*.f64 y 4)))) |
(*.f64 (sin.f64 x) (*.f64 4 (/.f64 (sinh.f64 y) (*.f64 y 4)))) |
(*.f64 (/.f64 1 (/.f64 y (/.f64 (sinh.f64 y) 4))) (*.f64 (sin.f64 x) 4)) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1/2 (*.f64 y (/.f64 2 (sinh.f64 y))))) |
(*.f64 4 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (*.f64 y 4)))) |
(*.f64 (sin.f64 x) (*.f64 4 (/.f64 (sinh.f64 y) (*.f64 y 4)))) |
(*.f64 (/.f64 2 (/.f64 y (/.f64 (sinh.f64 y) 4))) (*.f64 (sin.f64 x) 2)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y))) (neg.f64 (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 (*.f64 y (/.f64 -1 (sin.f64 x)))) (neg.f64 (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 (neg.f64 (/.f64 y (sin.f64 x)))) (neg.f64 (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 (neg.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(neg.f64 (/.f64 (sin.f64 (neg.f64 x)) (/.f64 y (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(neg.f64 (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(neg.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 -1 (sin.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (/.f64 y (sin.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) y) (/.f64 -1 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(+.f64 0 (/.f64 1 (sin.f64 x))) |
(/.f64 1 (sin.f64 x)) |
(-.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(-.f64 0 (/.f64 -1 (sin.f64 x))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 1 (/.f64 1 (sin.f64 x))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) 1) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 2 (sin.f64 x)) 1/2) |
(*.f64 1/2 (/.f64 2 (sin.f64 x))) |
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) 2)) |
(/.f64 1 (sin.f64 x)) |
(*.f64 2 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4) 1/4) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 -1 (sin.f64 x)) -1) |
(/.f64 1 (sin.f64 x)) |
(*.f64 -1 (/.f64 -1 (sin.f64 x))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) 2) (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x))) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) 2)) |
(/.f64 1 (sin.f64 x)) |
(*.f64 1/2 (/.f64 2 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 2) 2) |
(/.f64 1 (sin.f64 x)) |
(*.f64 1/4 (*.f64 (/.f64 1 (sin.f64 x)) 4)) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (sin.f64 x) 2)) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) 2) |
(/.f64 1 (sin.f64 x)) |
(pow.f64 (/.f64 1 (sin.f64 x)) 1) |
(/.f64 1 (sin.f64 x)) |
(neg.f64 (/.f64 -1 (sin.f64 x))) |
(/.f64 1 (sin.f64 x)) |
(neg.f64 (/.f64 (sin.f64 (neg.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(/.f64 1 (sin.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 y (neg.f64 (sinh.f64 y))) |
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x)) |
| ✓ | 0.2b | (/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x))) |
Compiled 35 to 10 computations (71.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x)) |
| 1.0ms | y | @ | -inf | (/.f64 y (neg.f64 (sinh.f64 y))) |
| 1× | batch-egg-rewrite |
| 1296× | rational.json-simplify-2 |
| 1144× | exponential.json-3 |
| 1144× | rational.json-1 |
| 1144× | rational.json-2 |
| 1144× | rational.json-4 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 71 |
| 1 | 98 | 69 |
| 2 | 325 | 61 |
| 3 | 1270 | 61 |
| 4 | 4181 | 61 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x))) |
(/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x)) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (sinh.f64 y) (*.f64 -2 (/.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 (sinh.f64 y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 (*.f64 -2 (/.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (sin.f64 x) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -2)) (/.f64 -1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 (*.f64 (sin.f64 x) 2) y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (/.f64 -1 (*.f64 -2 (/.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) (/.f64 -1 (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (sin.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sinh.f64 y) (/.f64 (*.f64 (sin.f64 x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 y (sinh.f64 y))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (sinh.f64 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 y y)) (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 -1 (sinh.f64 y))) (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (+.f64 y y)) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 -2 (/.f64 y (sin.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 -2 (/.f64 y (sin.f64 x)))) (*.f64 (sinh.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 y -2)) (*.f64 (sinh.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 -2 (/.f64 y (sin.f64 x)))) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 -1 (*.f64 (sinh.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 y (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 -2 (*.f64 (sinh.f64 y) (sin.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -2) (sinh.f64 y)) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -2) (sinh.f64 y)) (*.f64 (/.f64 1 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 -1 (*.f64 (sinh.f64 y) (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 -1 (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) (/.f64 1 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (sinh.f64 y) (sin.f64 x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (neg.f64 y) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 (neg.f64 x))) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule 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#<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sinh.f64 y)) (/.f64 y (sin.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 y (/.f64 -2 (*.f64 (sinh.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 y -2) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sinh.f64 y)) (*.f64 y (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (/.f64 y (*.f64 (sinh.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1/2 (sinh.f64 y))) (*.f64 -2 (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (/.f64 (*.f64 y -2) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (*.f64 (sinh.f64 y) (sin.f64 x))) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1/2 (sinh.f64 y))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 1/2 (sin.f64 x))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sinh.f64 y) -2)) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sin.f64 x) 2)) (*.f64 2 (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sin.f64 x) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (*.f64 2 (/.f64 -1 (*.f64 (sinh.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 2) (*.f64 2 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (sin.f64 x) 2)) (*.f64 y (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 (*.f64 (sinh.f64 y) (sin.f64 x)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sin.f64 x) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 2))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) -4))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (neg.f64 y) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 y (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (neg.f64 y) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 y (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -2) (sinh.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 -1/2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 (sinh.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 -1 (*.f64 (sinh.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) (neg.f64 (/.f64 -1/2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sinh.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 -1 (sinh.f64 y))) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 y -2) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sinh.f64 y)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 y (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1/2 (sinh.f64 y))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sinh.f64 y) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (*.f64 2 (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (sinh.f64 y) 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sinh.f64 y) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (sinh.f64 y))))))) |
| 1× | egg-herbie |
| 1284× | rational.json-simplify-51 |
| 990× | rational.json-simplify-35 |
| 976× | rational.json-simplify-2 |
| 864× | rational.json-simplify-44 |
| 752× | rational.json-simplify-43 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 393 | 8727 |
| 1 | 807 | 7715 |
| 2 | 1807 | 6909 |
| 3 | 5037 | 6881 |
| 4 | 7878 | 6881 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(/.f64 -1 (sin.f64 x)) |
(-.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (/.f64 1 (sin.f64 x))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)))) (/.f64 1 (sin.f64 x))) |
(-.f64 (+.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))))) (/.f64 1 (sin.f64 x))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2520 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 1/6 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))) (pow.f64 x 5)) (+.f64 (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
-1 |
(-.f64 (*.f64 1/6 (pow.f64 y 2)) 1) |
(-.f64 (+.f64 (*.f64 -7/360 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 -7/360 (pow.f64 y 4)) (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (*.f64 1/6 (pow.f64 y 2)))) 1) |
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 -2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)))) |
(+.f64 0 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) |
(+.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0) |
(-.f64 0 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))) |
(-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0) |
(*.f64 -1 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) |
(*.f64 -2 (/.f64 (sinh.f64 y) (*.f64 -2 (/.f64 y (sin.f64 x))))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (/.f64 y (sinh.f64 y)))) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2)) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (sinh.f64 y) (+.f64 y y))) |
(*.f64 (*.f64 (sinh.f64 y) -2) (/.f64 1 (*.f64 -2 (/.f64 y (sin.f64 x))))) |
(*.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (sin.f64 x) (*.f64 y -2))) |
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x))) (/.f64 -1 y)) |
(*.f64 2 (/.f64 (sin.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y))))) |
(*.f64 2 (/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 2)) |
(*.f64 2 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x))))) |
(*.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -2)) (/.f64 -1 (+.f64 y y))) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4))) |
(*.f64 (*.f64 (sinh.f64 y) (/.f64 (*.f64 (sin.f64 x) 2) y)) 1/2) |
(*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 -1 (*.f64 -2 (/.f64 y (sin.f64 x))))) |
(*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(*.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1) |
(*.f64 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)) -1) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) y) (/.f64 -1 (/.f64 -1 (sinh.f64 y)))) |
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (sin.f64 (neg.f64 x))) |
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 y)) |
(*.f64 (/.f64 -1 y) (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) |
(*.f64 1/2 (*.f64 (sinh.f64 y) (/.f64 (*.f64 (sin.f64 x) 2) y))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1/2 (/.f64 y (sinh.f64 y))) (*.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 1 y) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(*.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (*.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 -1 (+.f64 y y)) (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -2))) |
(*.f64 (/.f64 -1 (/.f64 -1 (sinh.f64 y))) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (sinh.f64 y) (+.f64 y y)) (*.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 1 y)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 1 y)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 y (/.f64 2 (sinh.f64 y)))) 2) |
(*.f64 (/.f64 (sinh.f64 y) (*.f64 -2 (/.f64 y (sin.f64 x)))) -2) |
(*.f64 (/.f64 1 (*.f64 -2 (/.f64 y (sin.f64 x)))) (*.f64 (sinh.f64 y) -2)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 y -2)) (*.f64 (sinh.f64 y) -2)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)) (*.f64 (sin.f64 x) 4)) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 2) 2) |
(*.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))) 2) |
(*.f64 (/.f64 -1 (*.f64 -2 (/.f64 y (sin.f64 x)))) (*.f64 (sinh.f64 y) 2)) |
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1) |
(neg.f64 (*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))) |
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)))) |
(+.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 0) |
(+.f64 0 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x))))) |
(+.f64 (-.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))) -1) |
(-.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 0) |
(-.f64 0 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))) |
(*.f64 -1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))) |
(*.f64 y (/.f64 -1 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 1) |
(*.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x))))) |
(*.f64 -2 (/.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sin.f64 x) 2))) |
(*.f64 -2 (/.f64 y (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 2)))) |
(*.f64 (*.f64 y (/.f64 -2 (*.f64 (sinh.f64 y) (sin.f64 x)))) 1/2) |
(*.f64 (/.f64 (*.f64 y -2) (sinh.f64 y)) (/.f64 1/2 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 y -2) (sinh.f64 y)) (*.f64 (/.f64 1 (sin.f64 x)) 1/2)) |
(*.f64 (+.f64 y y) (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x))) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 -1 (*.f64 (sinh.f64 y) (sin.f64 x))) 1/2)) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1/2 (sinh.f64 y)))) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (/.f64 y (sin.f64 x)) (/.f64 -1 (sinh.f64 y))) |
(*.f64 (/.f64 y (sinh.f64 y)) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (/.f64 1 (sin.f64 x)))) |
(*.f64 2 (/.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sin.f64 x) -2))) |
(*.f64 2 (/.f64 y (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -2)))) |
(*.f64 2 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 2)) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4))) |
(*.f64 (*.f64 y (/.f64 2 (sin.f64 x))) (/.f64 -1/2 (sinh.f64 y))) |
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) -4)))) |
(*.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 -1 (*.f64 (sin.f64 x) 2))) |
(*.f64 (*.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 4) 1/4) |
(*.f64 (*.f64 y -2) (/.f64 1 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 2)))) |
(*.f64 (/.f64 -1 (*.f64 (sinh.f64 y) (sin.f64 x))) y) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (neg.f64 y) (sinh.f64 y))) |
(*.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 y (sin.f64 x))) |
(*.f64 (/.f64 y (sin.f64 (neg.f64 x))) (/.f64 1 (sinh.f64 y))) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) |
(*.f64 (neg.f64 y) (neg.f64 (/.f64 -1 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)) -1) |
(*.f64 (*.f64 -2 (/.f64 y (sin.f64 x))) (neg.f64 (/.f64 -1/2 (sinh.f64 y)))) |
(*.f64 (*.f64 2 (/.f64 -1 (sinh.f64 y))) (/.f64 y (*.f64 (sin.f64 x) 2))) |
(*.f64 (*.f64 2 (/.f64 -1 (*.f64 (sinh.f64 y) (sin.f64 x)))) (/.f64 y 2)) |
(*.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 2)) |
(*.f64 (*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))) -1/2) |
(*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 y (sin.f64 (neg.f64 x)))) |
(*.f64 1/2 (*.f64 y (/.f64 -2 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 y -2) (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)) (+.f64 y y)) |
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 y (sinh.f64 y))) |
(*.f64 (/.f64 -1/2 (sinh.f64 y)) (*.f64 y (/.f64 2 (sin.f64 x)))) |
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 y (*.f64 (sinh.f64 y) -2))) |
(*.f64 -1/2 (*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)))) |
(*.f64 (neg.f64 (/.f64 -1/2 (sinh.f64 y))) (*.f64 -2 (/.f64 y (sin.f64 x)))) |
(*.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (/.f64 y (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (/.f64 (*.f64 y -2) (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 -1 (*.f64 (sinh.f64 y) (sin.f64 x))) 1/2) (+.f64 y y)) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 -1/2 (sinh.f64 y))) (+.f64 y y)) |
(*.f64 (*.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 1/2 (sin.f64 x))) (+.f64 y y)) |
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) -2)) (/.f64 2 (sin.f64 x))) |
(*.f64 (/.f64 y (*.f64 (sin.f64 x) 2)) (*.f64 2 (/.f64 -1 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sin.f64 x) -2)) 2) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) (neg.f64 y)) |
(*.f64 (/.f64 y 2) (*.f64 2 (/.f64 -1 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 2) (*.f64 2 (/.f64 1 (sin.f64 x)))) |
(*.f64 1/4 (*.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 4)) |
(*.f64 (/.f64 -1 (*.f64 (sin.f64 x) 2)) (*.f64 y (/.f64 2 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 4)) |
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 y)) |
(*.f64 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) (neg.f64 y)) |
(*.f64 (neg.f64 (/.f64 -1 (*.f64 (sinh.f64 y) (sin.f64 x)))) (neg.f64 y)) |
(*.f64 (/.f64 (/.f64 y (sinh.f64 y)) (*.f64 (sin.f64 x) 2)) -2) |
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 2))) -2) |
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) 2))) (*.f64 y -2)) |
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -2))) 2) |
(*.f64 (/.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 2) 2) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) -4))) (*.f64 y 4)) |
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 1) |
(neg.f64 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(+.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 0) |
(+.f64 0 (/.f64 (neg.f64 y) (sinh.f64 y))) |
(+.f64 (-.f64 1 (/.f64 y (sinh.f64 y))) -1) |
(-.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 0) |
(-.f64 0 (/.f64 y (sinh.f64 y))) |
(*.f64 -1 (/.f64 y (sinh.f64 y))) |
(*.f64 y (/.f64 -1 (sinh.f64 y))) |
(*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1) |
(*.f64 1 (/.f64 (neg.f64 y) (sinh.f64 y))) |
(*.f64 -2 (/.f64 y (*.f64 (sinh.f64 y) 2))) |
(*.f64 (/.f64 (*.f64 y -2) (sinh.f64 y)) 1/2) |
(*.f64 (+.f64 y y) (/.f64 -1/2 (sinh.f64 y))) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2)) |
(*.f64 (/.f64 y (sinh.f64 y)) -1) |
(*.f64 2 (/.f64 y (*.f64 (sinh.f64 y) -2))) |
(*.f64 2 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 2)) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 4) 1/4) |
(*.f64 (*.f64 y 4) (/.f64 -1 (*.f64 (sinh.f64 y) 4))) |
(*.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) -1/2) |
(*.f64 (*.f64 y -2) (neg.f64 (/.f64 -1/2 (sinh.f64 y)))) |
(*.f64 (/.f64 -1 (sinh.f64 y)) y) |
(*.f64 (neg.f64 y) (/.f64 1 (sinh.f64 y))) |
(*.f64 (*.f64 2 (/.f64 -1 (sinh.f64 y))) (/.f64 y 2)) |
(*.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 y -2) (sinh.f64 y))) |
(*.f64 (/.f64 -1/2 (sinh.f64 y)) (+.f64 y y)) |
(*.f64 -1/2 (*.f64 y (/.f64 2 (sinh.f64 y)))) |
(*.f64 (neg.f64 (/.f64 -1/2 (sinh.f64 y))) (*.f64 y -2)) |
(*.f64 (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2) (+.f64 y y)) |
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) -2)) 2) |
(*.f64 (/.f64 y 2) (*.f64 2 (/.f64 -1 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 2) 2) |
(*.f64 1/4 (*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 4)) |
(*.f64 (/.f64 -1 (*.f64 (sinh.f64 y) 4)) (*.f64 y 4)) |
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) 2)) -2) |
(pow.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1) |
(neg.f64 (/.f64 y (sinh.f64 y))) |
| Outputs |
|---|
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2)))) |
(+.f64 (sin.f64 x) (*.f64 (pow.f64 y 2) (*.f64 (sin.f64 x) 1/6))) |
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 y 2)) 1)) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
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(/.f64 y (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y))) |
(/.f64 y (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) -4))) (*.f64 y 4)) |
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) -4)))) |
(*.f64 y (*.f64 4 (/.f64 1 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -4))))) |
(*.f64 (*.f64 y 4) (/.f64 -1/4 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 y (*.f64 4 (/.f64 (/.f64 -1/4 (sin.f64 x)) (sinh.f64 y)))) |
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x)))) 1) |
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)))) |
(/.f64 y (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y))) |
(/.f64 y (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))) |
(neg.f64 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))) |
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)))) |
(/.f64 y (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y))) |
(/.f64 y (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(+.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 0) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(+.f64 0 (/.f64 (neg.f64 y) (sinh.f64 y))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(+.f64 (-.f64 1 (/.f64 y (sinh.f64 y))) -1) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(-.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 0) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(-.f64 0 (/.f64 y (sinh.f64 y))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 -1 (/.f64 y (sinh.f64 y))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 y (/.f64 -1 (sinh.f64 y))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 1 (/.f64 (neg.f64 y) (sinh.f64 y))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 -2 (/.f64 y (*.f64 (sinh.f64 y) 2))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (*.f64 y -2) (sinh.f64 y)) 1/2) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (+.f64 y y) (/.f64 -1/2 (sinh.f64 y))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2)) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 y (sinh.f64 y)) -1) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 2 (/.f64 y (*.f64 (sinh.f64 y) -2))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 2 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 2)) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 4) 1/4) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 y 4) (/.f64 -1 (*.f64 (sinh.f64 y) 4))) |
(*.f64 y (*.f64 4 (/.f64 -1 (*.f64 4 (sinh.f64 y))))) |
(*.f64 y (*.f64 4 (/.f64 -1/4 (sinh.f64 y)))) |
(*.f64 (*.f64 y 4) (/.f64 -1/4 (sinh.f64 y))) |
(*.f64 4 (/.f64 y (*.f64 (sinh.f64 y) -4))) |
(*.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) -1/2) |
(*.f64 y (*.f64 (/.f64 2 (sinh.f64 y)) -1/2)) |
(*.f64 (/.f64 2 (sinh.f64 y)) (*.f64 y -1/2)) |
(*.f64 (*.f64 y -2) (neg.f64 (/.f64 -1/2 (sinh.f64 y)))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 -1 (sinh.f64 y)) y) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (neg.f64 y) (/.f64 1 (sinh.f64 y))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 2 (/.f64 -1 (sinh.f64 y))) (/.f64 y 2)) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y)) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 y -2) (sinh.f64 y))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 -1/2 (sinh.f64 y)) (+.f64 y y)) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 -1/2 (*.f64 y (/.f64 2 (sinh.f64 y)))) |
(*.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) -1/2) |
(*.f64 y (*.f64 (/.f64 2 (sinh.f64 y)) -1/2)) |
(*.f64 (/.f64 2 (sinh.f64 y)) (*.f64 y -1/2)) |
(*.f64 (neg.f64 (/.f64 -1/2 (sinh.f64 y))) (*.f64 y -2)) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2) (+.f64 y y)) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) -2)) 2) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 y 2) (*.f64 2 (/.f64 -1 (sinh.f64 y)))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 2) 2) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 1/4 (*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 4)) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 -1 (*.f64 (sinh.f64 y) 4)) (*.f64 y 4)) |
(*.f64 y (*.f64 4 (/.f64 -1 (*.f64 4 (sinh.f64 y))))) |
(*.f64 y (*.f64 4 (/.f64 -1/4 (sinh.f64 y)))) |
(*.f64 (*.f64 y 4) (/.f64 -1/4 (sinh.f64 y))) |
(*.f64 4 (/.f64 y (*.f64 (sinh.f64 y) -4))) |
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) 2)) -2) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(pow.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
(neg.f64 (/.f64 y (sinh.f64 y))) |
(+.f64 -1 (-.f64 1 (/.f64 y (sinh.f64 y)))) |
(/.f64 y (neg.f64 (sinh.f64 y))) |
Compiled 15417 to 7809 computations (49.3% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1025 | 5 | 1030 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 1028 | 8 | 1036 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) |
| ▶ | 0.4b | (/.f64 y (/.f64 y (sin.f64 x))) |
| ▶ | 29.3b | (/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y))) |
| ▶ | 0.3b | (/.f64 -1 (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y)))) |
| ▶ | 0.5b | (/.f64 -1 (/.f64 -1 (sin.f64 x))) |
| ✓ | 28.8b | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| ✓ | 0.3b | (sin.f64 x) |
| 29.1b | x |
Compiled 62 to 44 computations (29% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) | |
| ✓ | 0.1b | (/.f64 -1 (sin.f64 x)) |
| ✓ | 0.2b | (/.f64 -1 (/.f64 -1 (sin.f64 x))) |
Compiled 16 to 10 computations (37.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 -1 (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 -1 (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 -1 (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 -1 (/.f64 -1 (sin.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 -1 (/.f64 -1 (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1288× | rational.json-1 |
| 1288× | rational.json-2 |
| 1288× | rational.json-4 |
| 1288× | rational.json-3 |
| 1280× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 62 | 16 |
| 2 | 165 | 16 |
| 3 | 393 | 16 |
| 4 | 982 | 16 |
| 5 | 3697 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (/.f64 -1 (sin.f64 x))) |
(/.f64 -1 (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (sin.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (sin.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sin.f64 x)) (/.f64 -1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 (sin.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sin.f64 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))) (/.f64 -2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (/.f64 -1 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -1 (sin.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 -1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sin.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 -1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 -1 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (sin.f64 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -2) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (sin.f64 x)) -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 -2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 -1 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -1/2) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 (/.f64 -1 (sin.f64 x)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x))) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (/.f64 -1 (sin.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (sin.f64 x))))))) |
| 1× | egg-herbie |
| 1580× | rational.json-simplify-51 |
| 1258× | rational.json-simplify-39 |
| 1118× | rational.json-simplify-35 |
| 896× | rational.json-simplify-2 |
| 560× | rational.json-simplify-59 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 1544 |
| 1 | 318 | 1076 |
| 2 | 1871 | 1076 |
| 3 | 4809 | 1076 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1/6 x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x)) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -31/15120 (pow.f64 x 5)) (+.f64 (*.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x))) (/.f64 1 x)) |
(+.f64 -1 (-.f64 (sin.f64 x) -1)) |
(+.f64 (sin.f64 x) 0) |
(+.f64 0 (sin.f64 x)) |
(+.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) 1/2)) |
(+.f64 (-.f64 (sin.f64 x) -1) -1) |
(-.f64 (sin.f64 x) 0) |
(-.f64 0 (neg.f64 (sin.f64 x))) |
(*.f64 -1 (neg.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) 1) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 1 (sin.f64 x)) |
(*.f64 -2 (*.f64 (sin.f64 x) -1/2)) |
(*.f64 (*.f64 (sin.f64 x) 2) 1/2) |
(*.f64 (/.f64 -2 (sin.f64 x)) (/.f64 -1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x))))) |
(*.f64 2 (*.f64 (sin.f64 x) 1/2)) |
(*.f64 (*.f64 (sin.f64 x) 4) 1/4) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (neg.f64 (sin.f64 x)) -1) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) |
(*.f64 4 (/.f64 (sin.f64 x) 4)) |
(*.f64 (*.f64 (sin.f64 x) 8) 1/8) |
(*.f64 (*.f64 (sin.f64 x) -2) -1/2) |
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x))))) |
(*.f64 (*.f64 (sin.f64 x) -4) -1/4) |
(*.f64 1/2 (*.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 (sin.f64 x) 1/2) 2) |
(*.f64 1/4 (*.f64 (sin.f64 x) 4)) |
(*.f64 (*.f64 (sin.f64 x) -1/2) -2) |
(*.f64 -1/2 (*.f64 (sin.f64 x) -2)) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 -1/4 (*.f64 (sin.f64 x) -4)) |
(*.f64 (/.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1/2 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 1/2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 2 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) 4) 4) |
(*.f64 1/8 (*.f64 (sin.f64 x) 8)) |
(*.f64 (/.f64 -1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))) (/.f64 -2 (sin.f64 x))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))) (/.f64 2 (sin.f64 x))) |
(pow.f64 (sin.f64 x) 1) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(sin.f64 (-.f64 (PI.f64) x)) |
(+.f64 -1 (-.f64 (/.f64 -1 (sin.f64 x)) -1)) |
(+.f64 (/.f64 -1 (sin.f64 x)) 0) |
(+.f64 0 (/.f64 -1 (sin.f64 x))) |
(+.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x))) |
(+.f64 (-.f64 (/.f64 -1 (sin.f64 x)) -1) -1) |
(-.f64 (/.f64 -1 (sin.f64 x)) 0) |
(-.f64 0 (/.f64 1 (sin.f64 x))) |
(*.f64 -1 (/.f64 1 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 -1 (sin.f64 x)) 1) |
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x)))) |
(*.f64 1 (/.f64 -1 (sin.f64 x))) |
(*.f64 -2 (/.f64 1/2 (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 -1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))) |
(*.f64 (/.f64 -2 (sin.f64 x)) 1/2) |
(*.f64 2 (/.f64 -1/2 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 -1 (sin.f64 x)) 4) 1/4) |
(*.f64 (/.f64 1 (sin.f64 x)) -1) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 4 (/.f64 (/.f64 -1 (sin.f64 x)) 4)) |
(*.f64 (*.f64 (/.f64 -1 (sin.f64 x)) 8) 1/8) |
(*.f64 (*.f64 (sin.f64 x) -2) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))) |
(*.f64 (/.f64 2 (sin.f64 x)) -1/2) |
(*.f64 (*.f64 (/.f64 -1 (sin.f64 x)) -4) -1/4) |
(*.f64 1/2 (/.f64 -2 (sin.f64 x))) |
(*.f64 1/4 (*.f64 (/.f64 -1 (sin.f64 x)) 4)) |
(*.f64 (*.f64 (sin.f64 x) -1/2) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 -1/2 (/.f64 2 (sin.f64 x))) |
(*.f64 (/.f64 1/2 (sin.f64 x)) -2) |
(*.f64 (/.f64 -1/2 (sin.f64 x)) 2) |
(*.f64 -1/4 (*.f64 (/.f64 -1 (sin.f64 x)) -4)) |
(*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) -1/2)) |
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x))) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) -2)) |
(*.f64 1/8 (*.f64 (/.f64 -1 (sin.f64 x)) 8)) |
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) 4) 4) |
(*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) -2)) |
(pow.f64 (/.f64 -1 (sin.f64 x)) 1) |
(neg.f64 (/.f64 1 (sin.f64 x))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 x (*.f64 -1/6 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7))))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))) |
(+.f64 x (+.f64 (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))) (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1/6 x) (/.f64 1 x)) |
(-.f64 (*.f64 x -1/6) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x)) (/.f64 1 x)) |
(+.f64 (*.f64 x -1/6) (-.f64 (*.f64 (pow.f64 x 3) -7/360) (/.f64 1 x))) |
(+.f64 (*.f64 (pow.f64 x 3) -7/360) (-.f64 (*.f64 x -1/6) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -31/15120 (pow.f64 x 5)) (+.f64 (*.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x))) (/.f64 1 x)) |
(+.f64 (+.f64 (*.f64 x -1/6) (*.f64 (pow.f64 x 3) -7/360)) (-.f64 (*.f64 (pow.f64 x 5) -31/15120) (/.f64 1 x))) |
(+.f64 (*.f64 x -1/6) (+.f64 (*.f64 (pow.f64 x 3) -7/360) (-.f64 (*.f64 (pow.f64 x 5) -31/15120) (/.f64 1 x)))) |
(+.f64 (*.f64 x -1/6) (+.f64 (*.f64 (pow.f64 x 5) -31/15120) (-.f64 (*.f64 (pow.f64 x 3) -7/360) (/.f64 1 x)))) |
(+.f64 -1 (-.f64 (sin.f64 x) -1)) |
(sin.f64 x) |
(+.f64 (sin.f64 x) 0) |
(sin.f64 x) |
(+.f64 0 (sin.f64 x)) |
(sin.f64 x) |
(+.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) 1/2)) |
(sin.f64 x) |
(+.f64 (-.f64 (sin.f64 x) -1) -1) |
(sin.f64 x) |
(-.f64 (sin.f64 x) 0) |
(sin.f64 x) |
(-.f64 0 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 -1 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(sin.f64 x) |
(*.f64 1 (sin.f64 x)) |
(sin.f64 x) |
(*.f64 -2 (*.f64 (sin.f64 x) -1/2)) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) 2) 1/2) |
(sin.f64 x) |
(*.f64 (/.f64 -2 (sin.f64 x)) (/.f64 -1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x))))) |
(sin.f64 x) |
(*.f64 2 (*.f64 (sin.f64 x) 1/2)) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) 4) 1/4) |
(sin.f64 x) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (neg.f64 (sin.f64 x)) -1) |
(sin.f64 x) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 4 (/.f64 (sin.f64 x) 4)) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) 8) 1/8) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) -2) -1/2) |
(sin.f64 x) |
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(sin.f64 x) |
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x))))) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) -4) -1/4) |
(sin.f64 x) |
(*.f64 1/2 (*.f64 (sin.f64 x) 2)) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) 1/2) 2) |
(sin.f64 x) |
(*.f64 1/4 (*.f64 (sin.f64 x) 4)) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) -1/2) -2) |
(sin.f64 x) |
(*.f64 -1/2 (*.f64 (sin.f64 x) -2)) |
(sin.f64 x) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(sin.f64 x) |
(*.f64 -1/4 (*.f64 (sin.f64 x) -4)) |
(sin.f64 x) |
(*.f64 (/.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (/.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1/2 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) |
(sin.f64 x) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (/.f64 1/2 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 2 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (/.f64 (sin.f64 x) 4) 4) |
(sin.f64 x) |
(*.f64 1/8 (*.f64 (sin.f64 x) 8)) |
(sin.f64 x) |
(*.f64 (/.f64 -1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))) (/.f64 -2 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (/.f64 1 (*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -2 (sin.f64 x)))) (/.f64 2 (sin.f64 x))) |
(sin.f64 x) |
(pow.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 (-.f64 (PI.f64) x)) |
(sin.f64 x) |
(+.f64 -1 (-.f64 (/.f64 -1 (sin.f64 x)) -1)) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(+.f64 (/.f64 -1 (sin.f64 x)) 0) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(+.f64 0 (/.f64 -1 (sin.f64 x))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(+.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 -1/2 (sin.f64 x))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(+.f64 (-.f64 (/.f64 -1 (sin.f64 x)) -1) -1) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(-.f64 (/.f64 -1 (sin.f64 x)) 0) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(-.f64 0 (/.f64 1 (sin.f64 x))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 -1 (/.f64 1 (sin.f64 x))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 -1 (sin.f64 x)) 1) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x)))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 1 (/.f64 -1 (sin.f64 x))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 -2 (/.f64 1/2 (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 -1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 -2 (sin.f64 x)) 1/2) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 2 (/.f64 -1/2 (sin.f64 x))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 -1 (sin.f64 x)) 4) 1/4) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) -1) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 x)))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (sin.f64 x))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 4 (/.f64 (/.f64 -1 (sin.f64 x)) 4)) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 -1 (sin.f64 x)) 8) 1/8) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) -2) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 2 (sin.f64 x)) -1/2) |
(*.f64 -1/2 (/.f64 2 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 -1 (sin.f64 x)) -4) -1/4) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 1/2 (/.f64 -2 (sin.f64 x))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 1/4 (*.f64 (/.f64 -1 (sin.f64 x)) 4)) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) -1/2) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 -1/2 (*.f64 (sin.f64 x) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 -1/2 (/.f64 2 (sin.f64 x))) |
(*.f64 (/.f64 1/2 (sin.f64 x)) -2) |
(*.f64 -2 (/.f64 1/2 (sin.f64 x))) |
(*.f64 (/.f64 -1/2 (sin.f64 x)) 2) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 -1/4 (*.f64 (/.f64 -1 (sin.f64 x)) -4)) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) -1/2)) |
(*.f64 (*.f64 (sin.f64 x) -1/2) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 -1/2 (*.f64 (sin.f64 x) (/.f64 2 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sin.f64 x))) (/.f64 -1 (sin.f64 x))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) (/.f64 1 (sin.f64 x))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) -2)) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 1/8 (*.f64 (/.f64 -1 (sin.f64 x)) 8)) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) 4) 4) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) 2)) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) -2)) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(pow.f64 (/.f64 -1 (sin.f64 x)) 1) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
(neg.f64 (/.f64 1 (sin.f64 x))) |
(+.f64 -1 (+.f64 1 (/.f64 -1 (sin.f64 x)))) |
(/.f64 -1 (sin.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| 0.1b | (/.f64 y (sin.f64 x)) | |
| ✓ | 0.2b | (/.f64 -1 (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y)))) |
| ✓ | 0.2b | (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))) |
Compiled 34 to 10 computations (70.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))) |
| 0.0ms | x | @ | 0 | (/.f64 -1 (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y)))) |
| 0.0ms | y | @ | 0 | (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))) |
| 1× | batch-egg-rewrite |
| 1860× | rational.json-1 |
| 1860× | rational.json-2 |
| 1122× | rational.json-simplify-50 |
| 1110× | exponential.json-3 |
| 1110× | rational.json-4 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 56 |
| 1 | 98 | 54 |
| 2 | 332 | 46 |
| 3 | 1330 | 46 |
| 4 | 3771 | 46 |
| 5 | 7613 | 46 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))) |
(/.f64 -1 (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 x)) (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y y) (sin.f64 x)) (/.f64 -1/2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y y) (sin.f64 x)) (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 y -2) (sin.f64 x)) (sinh.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (neg.f64 (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 -1/2 (sinh.f64 y)) (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (neg.f64 y) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (neg.f64 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 (*.f64 y -2) (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sinh.f64 y)) (/.f64 (+.f64 y y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2) (/.f64 (+.f64 y y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 (sinh.f64 y))) (/.f64 (neg.f64 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1/2 (sinh.f64 y)) (/.f64 -1/2 (sinh.f64 y))) (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 (neg.f64 y) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)) (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (/.f64 (sin.f64 x) y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 (sin.f64 x) y) -2) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) y) -2) (*.f64 (sinh.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1/2) (*.f64 (sinh.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) y) -2) (/.f64 (/.f64 (sin.f64 x) y) -2)) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) y)))))) |
| 1× | egg-herbie |
| 1518× | rational.json-simplify-51 |
| 1088× | rational.json-simplify-35 |
| 906× | rational.json-simplify-2 |
| 876× | rational.json-simplify-41 |
| 830× | rational.json-simplify-53 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 219 | 4864 |
| 1 | 462 | 4508 |
| 2 | 939 | 4390 |
| 3 | 1939 | 4176 |
| 4 | 4817 | 3944 |
| 5 | 7708 | 3944 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (sin.f64 x)) |
(-.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (/.f64 1 (sin.f64 x))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)))) (/.f64 1 (sin.f64 x))) |
(-.f64 (+.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))))) (/.f64 1 (sin.f64 x))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2520 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 1/6 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))) (pow.f64 x 5)) (+.f64 (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(+.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 0) |
(+.f64 -1 (-.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(+.f64 0 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y))) |
(+.f64 (-.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) -1) |
(-.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 0) |
(-.f64 0 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 y (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 y (sin.f64 x)) (/.f64 -1 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 1) |
(*.f64 -1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 1 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (/.f64 (+.f64 y y) (sin.f64 x)) (/.f64 -1/2 (sinh.f64 y))) |
(*.f64 (/.f64 (+.f64 y y) (sin.f64 x)) (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2)) |
(*.f64 (+.f64 y y) (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x))) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))) 1/2)) |
(*.f64 (/.f64 (/.f64 (*.f64 y -2) (sin.f64 x)) (sinh.f64 y)) 1/2) |
(*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (/.f64 1 (sinh.f64 y))) |
(*.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (neg.f64 (/.f64 -1 (sinh.f64 y)))) |
(*.f64 2 (*.f64 (/.f64 -1/2 (sinh.f64 y)) (/.f64 y (sin.f64 x)))) |
(*.f64 2 (*.f64 (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)) y)) |
(*.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 y (sin.f64 x))) |
(*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))) y) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (neg.f64 y) (sinh.f64 y))) |
(*.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) -1) |
(*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 (neg.f64 y) (sin.f64 x))) |
(*.f64 1/2 (/.f64 (/.f64 (*.f64 y -2) (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (/.f64 -1/2 (sinh.f64 y)) (/.f64 (+.f64 y y) (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)) (+.f64 y y)) |
(*.f64 (*.f64 (/.f64 -1 (sinh.f64 y)) 1/2) (/.f64 (+.f64 y y) (sin.f64 x))) |
(*.f64 (neg.f64 (/.f64 -1 (sinh.f64 y))) (/.f64 (neg.f64 y) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))) 1/2) (+.f64 y y)) |
(*.f64 (+.f64 (/.f64 -1/2 (sinh.f64 y)) (/.f64 -1/2 (sinh.f64 y))) (/.f64 y (sin.f64 x))) |
(*.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 (neg.f64 y) (sinh.f64 y))) |
(*.f64 (+.f64 (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x)) (/.f64 (/.f64 -1/2 (sinh.f64 y)) (sin.f64 x))) y) |
(pow.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 x)) (sinh.f64 y)) 1) |
(neg.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0) |
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) |
(+.f64 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))) -1) |
(-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0) |
(-.f64 0 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 y))) |
(*.f64 -1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) |
(*.f64 (*.f64 (sinh.f64 y) -2) (/.f64 (/.f64 (sin.f64 x) y) -2)) |
(*.f64 (*.f64 (sinh.f64 y) -2) (*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1/2)) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sinh.f64 y) y) 1/2)) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 -1 y)) |
(*.f64 2 (*.f64 (/.f64 (/.f64 (sin.f64 x) y) -2) (neg.f64 (sinh.f64 y)))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (neg.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))) -1) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (/.f64 -1 y) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) -2) (*.f64 (sinh.f64 y) -2)) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (*.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) 1/2) (*.f64 (sinh.f64 y) -2)) |
(*.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) y) -2) (/.f64 (/.f64 (sin.f64 x) y) -2)) (neg.f64 (sinh.f64 y))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1) |
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) y)) |
| Outputs |
|---|
(/.f64 -1 (sin.f64 x)) |
(-.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (/.f64 1 (sin.f64 x))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)))) (/.f64 1 (sin.f64 x))) |
(+.f64 (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (-.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (/.f64 1 (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (-.f64 (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (/.f64 1 (sin.f64 x)))) |
(-.f64 (+.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))))) (/.f64 1 (sin.f64 x))) |
(+.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)))) (-.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (/.f64 1 (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (+.f64 (-.f64 (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (/.f64 1 (sin.f64 x))) (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) (+.f64 (*.f64 -7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (-.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (/.f64 1 (sin.f64 x))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (*.f64 -1/3 (/.f64 (*.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(+.f64 (*.f64 -2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 -1/3 x))) |
(+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x -1/3))) |
(+.f64 (*.f64 -2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x -1/3))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) |
(+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -1/18)) (pow.f64 x 3)))) |
(+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/180) (pow.f64 x 3)))) |
(+.f64 (*.f64 -2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 -1/3 x)) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 -7/180 (pow.f64 x 3))))) |
(+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x -1/3)) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (pow.f64 x 3) -7/180)))) |
(+.f64 (*.f64 -2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 (*.f64 (pow.f64 x 3) -7/180) (*.f64 x -1/3)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2520 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 1/6 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))) (pow.f64 x 5)) (+.f64 (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 -2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 -1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))) |
(+.f64 (+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -1/18)) (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -1/2520) (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/360) (*.f64 1/6 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -1/18))))) (pow.f64 x 5))) |
(+.f64 (+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/180) (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -1/2520) (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/360) (*.f64 1/6 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/180)))) (pow.f64 x 5))) |
(+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 -1/3 x)) (+.f64 (+.f64 (*.f64 -2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 -7/180 (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/1080) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/420)) (pow.f64 x 5)))) |
(+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x -1/3)) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -1/2520) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -1/270)) (pow.f64 x 5)) (+.f64 (*.f64 -2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (pow.f64 x 3) -7/180))))) |
(+.f64 (+.f64 (*.f64 -2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (+.f64 (*.f64 (pow.f64 x 3) -7/180) (*.f64 x -1/3)))) (*.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -31/7560) (pow.f64 x 5))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 -2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 -2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2)))) |
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 y 2)) 1)) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
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(+.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 (pow.f64 y 4) (*.f64 (sin.f64 x) 1/120)))) |
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(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1) |
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))) |
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))) |
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))) |
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))) |
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) y)) |
(+.f64 -1 (-.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y))))) |
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 y)))) |
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.2b | (/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y))) |
| ✓ | 11.4b | (/.f64 (/.f64 y x) (sinh.f64 y)) |
Compiled 24 to 8 computations (66.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (/.f64 y x) (sinh.f64 y)) |
| 1.0ms | y | @ | inf | (/.f64 (/.f64 y x) (sinh.f64 y)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 y x) (sinh.f64 y)) |
| 0.0ms | y | @ | 0 | (/.f64 (/.f64 y x) (sinh.f64 y)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 y x) (sinh.f64 y)) |
| 1× | batch-egg-rewrite |
| 2104× | rational.json-1 |
| 1890× | rational.json-simplify-35 |
| 1012× | exponential.json-3 |
| 1012× | rational.json-2 |
| 1012× | rational.json-4 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 85 | 34 |
| 2 | 258 | 34 |
| 3 | 773 | 34 |
| 4 | 2782 | 34 |
| 5 | 7601 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (*.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (*.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 1/2 (*.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1 (*.f64 x (sinh.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 y x) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 x (*.f64 (sinh.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (*.f64 x (sinh.f64 y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (/.f64 2 (sinh.f64 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 x)) (/.f64 1/2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 x)) (*.f64 (/.f64 1 (sinh.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sinh.f64 y)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 4) (/.f64 1 (*.f64 (sinh.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (*.f64 x (sinh.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (sinh.f64 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sinh.f64 y)) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 x)) (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 (sinh.f64 y) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sinh.f64 y)) (/.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 x)) (/.f64 y (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 y x) (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 x (sinh.f64 y))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sinh.f64 y)) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (*.f64 y (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x (sinh.f64 y))) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sinh.f64 y)) 1/2) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) (neg.f64 (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) (*.f64 (sinh.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sinh.f64 y) 2)) (*.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 x x)) (/.f64 2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 x (*.f64 (sinh.f64 y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (*.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) 2) (/.f64 2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sinh.f64 y) 4)) (*.f64 (/.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x (sinh.f64 y)) 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (neg.f64 y) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sinh.f64 y) (neg.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (neg.f64 (sinh.f64 y)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x (sinh.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 1/2 (sinh.f64 y))) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (*.f64 x (sinh.f64 y))) (/.f64 1/2 (*.f64 x (sinh.f64 y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y x) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (sinh.f64 y) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 y (/.f64 2 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 x y) 2) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (/.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sinh.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (sinh.f64 y) 2)) (/.f64 1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 2 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 2 (/.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 2) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1/2) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 (sinh.f64 y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 2 (sinh.f64 y))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y y)) (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y y)) (*.f64 x (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y (/.f64 2 (sinh.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y x) 4)) (*.f64 (sinh.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y (sinh.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 x (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (*.f64 x (sinh.f64 y))) y)))))) |
| 1× | egg-herbie |
| 944× | rational.json-simplify-51 |
| 916× | rational.json-simplify-55 |
| 900× | rational.json-simplify-44 |
| 878× | rational.json-simplify-35 |
| 830× | rational.json-simplify-1 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 4280 |
| 1 | 608 | 4244 |
| 2 | 1414 | 4244 |
| 3 | 4321 | 4220 |
| 4 | 6630 | 4220 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 x) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)) |
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))) |
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 0) |
(+.f64 0 (/.f64 y (*.f64 x (sinh.f64 y)))) |
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y)))))) |
(-.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 0) |
(-.f64 0 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y))))) |
(*.f64 y (/.f64 1 (*.f64 x (sinh.f64 y)))) |
(*.f64 (/.f64 y x) (/.f64 1 (sinh.f64 y))) |
(*.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 1) |
(*.f64 1 (/.f64 y (*.f64 x (sinh.f64 y)))) |
(*.f64 (+.f64 y y) (/.f64 1/2 (*.f64 x (sinh.f64 y)))) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 1 (*.f64 x (sinh.f64 y))) 1/2)) |
(*.f64 2 (/.f64 (/.f64 y x) (*.f64 (sinh.f64 y) 2))) |
(*.f64 2 (/.f64 y (*.f64 x (*.f64 (sinh.f64 y) 2)))) |
(*.f64 2 (/.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 2)) |
(*.f64 2 (*.f64 (/.f64 1/2 (*.f64 x (sinh.f64 y))) y)) |
(*.f64 2 (*.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 y x))) |
(*.f64 2 (*.f64 (/.f64 1/2 x) (/.f64 y (sinh.f64 y)))) |
(*.f64 (*.f64 (/.f64 y x) (/.f64 2 (sinh.f64 y))) 1/2) |
(*.f64 (*.f64 y (/.f64 2 x)) (/.f64 1/2 (sinh.f64 y))) |
(*.f64 (*.f64 y (/.f64 2 x)) (*.f64 (/.f64 1 (sinh.f64 y)) 1/2)) |
(*.f64 (/.f64 y (sinh.f64 y)) (/.f64 1 x)) |
(*.f64 (*.f64 (/.f64 y x) 4) (/.f64 1 (*.f64 (sinh.f64 y) 4))) |
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (*.f64 x (sinh.f64 y)) 4))) |
(*.f64 (*.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 4) 1/4) |
(*.f64 (*.f64 y (/.f64 2 (sinh.f64 y))) (/.f64 1/2 x)) |
(*.f64 (/.f64 1 (*.f64 x (sinh.f64 y))) y) |
(*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 y x)) |
(*.f64 (/.f64 1 x) (/.f64 y (sinh.f64 y))) |
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 -1 (sinh.f64 y))) |
(*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (/.f64 -1 x)) |
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 (sinh.f64 y) (neg.f64 x)))) |
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 x (neg.f64 (sinh.f64 y))))) |
(*.f64 (neg.f64 y) (/.f64 -1 (*.f64 x (sinh.f64 y)))) |
(*.f64 -1 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y))))) |
(*.f64 -1 (/.f64 (/.f64 y x) (neg.f64 (sinh.f64 y)))) |
(*.f64 -1 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) x)) |
(*.f64 -1 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x)))) |
(*.f64 -1 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y))))) |
(*.f64 -1 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y)))) |
(*.f64 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y)))) -1) |
(*.f64 (*.f64 2 (/.f64 1 (*.f64 x (sinh.f64 y)))) (/.f64 y 2)) |
(*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (+.f64 x x))) |
(*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 (/.f64 y x) 2)) |
(*.f64 (*.f64 2 (/.f64 1 x)) (/.f64 y (*.f64 (sinh.f64 y) 2))) |
(*.f64 1/2 (*.f64 (/.f64 y x) (/.f64 2 (sinh.f64 y)))) |
(*.f64 (/.f64 1/2 (*.f64 x (sinh.f64 y))) (+.f64 y y)) |
(*.f64 (/.f64 1/2 (sinh.f64 y)) (*.f64 y (/.f64 2 x))) |
(*.f64 (/.f64 1/2 x) (*.f64 y (/.f64 2 (sinh.f64 y)))) |
(*.f64 (*.f64 (/.f64 1 (*.f64 x (sinh.f64 y))) 1/2) (+.f64 y y)) |
(*.f64 (*.f64 (/.f64 1 (sinh.f64 y)) 1/2) (*.f64 y (/.f64 2 x))) |
(*.f64 (/.f64 (/.f64 y x) (neg.f64 (sinh.f64 y))) -1) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) x) -1) |
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x))) -1) |
(*.f64 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y)))) -1) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y))) -1) |
(*.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 y (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 y x) (*.f64 (sinh.f64 y) 2)) 2) |
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) 2)) (*.f64 2 (/.f64 1 x))) |
(*.f64 (/.f64 y (+.f64 x x)) (/.f64 2 (sinh.f64 y))) |
(*.f64 1/4 (*.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 4)) |
(*.f64 (/.f64 y (*.f64 x (*.f64 (sinh.f64 y) 2))) 2) |
(*.f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (*.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 (/.f64 y x) 2) (/.f64 2 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 2) 2) |
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) 4)) (*.f64 (/.f64 y x) 4)) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x (sinh.f64 y)) 4)) (*.f64 y 4)) |
(*.f64 (/.f64 -1 x) (/.f64 (neg.f64 y) (sinh.f64 y))) |
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) (neg.f64 x))) (neg.f64 y)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 (sinh.f64 y)))) (neg.f64 y)) |
(*.f64 (/.f64 -1 (*.f64 x (sinh.f64 y))) (neg.f64 y)) |
(*.f64 (+.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 1/2 (sinh.f64 y))) (/.f64 y x)) |
(*.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 y (sinh.f64 y))) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x (sinh.f64 y))) (/.f64 1/2 (*.f64 x (sinh.f64 y)))) y) |
(pow.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 1) |
(neg.f64 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y))))) |
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 (sinh.f64 y)))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) x)) |
(neg.f64 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x)))) |
(neg.f64 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y))))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y)))) |
(+.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0) |
(+.f64 0 (*.f64 x (/.f64 (sinh.f64 y) y))) |
(-.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(*.f64 1 (*.f64 x (/.f64 (sinh.f64 y) y))) |
(*.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1) |
(*.f64 (+.f64 x x) (*.f64 (/.f64 (sinh.f64 y) y) 1/2)) |
(*.f64 2 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 x)))) |
(*.f64 2 (/.f64 x (*.f64 y (/.f64 2 (sinh.f64 y))))) |
(*.f64 2 (/.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2)) |
(*.f64 2 (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) x)) |
(*.f64 2 (*.f64 (/.f64 (/.f64 x y) 2) (sinh.f64 y))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 x y) 2)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 x y) 1/2)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 x (+.f64 y y))) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 y y)) x)) |
(*.f64 (*.f64 x (sinh.f64 y)) (/.f64 1 y)) |
(*.f64 (*.f64 x (*.f64 (sinh.f64 y) 2)) (/.f64 1 (+.f64 y y))) |
(*.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y x) 4))) |
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4))) |
(*.f64 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 2 y))) 1/2) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 y x))) |
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 y (sinh.f64 y)))) |
(*.f64 -1 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x)))) |
(*.f64 (/.f64 x y) (sinh.f64 y)) |
(*.f64 (/.f64 x y) (/.f64 2 (/.f64 2 (sinh.f64 y)))) |
(*.f64 (/.f64 (sinh.f64 y) y) x) |
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 x))) |
(*.f64 (/.f64 1 y) (*.f64 x (sinh.f64 y))) |
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 x))) |
(*.f64 1/2 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 2 y)))) |
(*.f64 (/.f64 (/.f64 x y) 2) (*.f64 (sinh.f64 y) 2)) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (+.f64 x x)) |
(*.f64 (*.f64 (/.f64 x y) 1/2) (*.f64 (sinh.f64 y) 2)) |
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))) -1) |
(*.f64 (/.f64 x (/.f64 1 (sinh.f64 y))) (/.f64 1 y)) |
(*.f64 (/.f64 2 (/.f64 2 (sinh.f64 y))) (/.f64 x y)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) (/.f64 1 y)) |
(*.f64 (/.f64 x (+.f64 y y)) (*.f64 (sinh.f64 y) 2)) |
(*.f64 (/.f64 1 (+.f64 y y)) (*.f64 x (*.f64 (sinh.f64 y) 2))) |
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 x))) 2) |
(*.f64 (/.f64 x (*.f64 y (/.f64 2 (sinh.f64 y)))) 2) |
(*.f64 (/.f64 1 (*.f64 (/.f64 y x) 4)) (*.f64 (sinh.f64 y) 4)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)) (*.f64 x 4)) |
(*.f64 (/.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2) 2) |
(*.f64 (/.f64 -1 (/.f64 y (sinh.f64 y))) (neg.f64 x)) |
(*.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) (sinh.f64 y)) |
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1) |
(neg.f64 (neg.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x)))) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sinh.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 x (sinh.f64 y))) y)) |
| Outputs |
|---|
(/.f64 1 x) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (*.f64 -1/6 (/.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (*.f64 7/360 (/.f64 (pow.f64 y 4) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)))) |
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 7/360 (/.f64 (pow.f64 y 4) x)))) |
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))) |
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (*.f64 -31/15120 (/.f64 (pow.f64 y 6) x))))) |
(+.f64 (+.f64 (/.f64 1 x) (*.f64 -1/6 (/.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 -31/15120 (/.f64 (pow.f64 y 6) x)) (*.f64 7/360 (/.f64 (pow.f64 y 4) x)))) |
(+.f64 (+.f64 (/.f64 1 x) (*.f64 -1/6 (/.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (*.f64 -31/15120 (/.f64 (pow.f64 y 6) x)))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(*.f64 2 (/.f64 y (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
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(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 -1 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x)))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 -1 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y))))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 -1 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y)))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y)))) -1) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (*.f64 2 (/.f64 1 (*.f64 x (sinh.f64 y)))) (/.f64 y 2)) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 y (+.f64 x x))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 2 (sinh.f64 y)) (/.f64 (/.f64 y x) 2)) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (*.f64 2 (/.f64 1 x)) (/.f64 y (*.f64 (sinh.f64 y) 2))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 1/2 (*.f64 (/.f64 y x) (/.f64 2 (sinh.f64 y)))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 1/2 (*.f64 x (sinh.f64 y))) (+.f64 y y)) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 1/2 (sinh.f64 y)) (*.f64 y (/.f64 2 x))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 1/2 x) (*.f64 y (/.f64 2 (sinh.f64 y)))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (*.f64 (/.f64 1 (*.f64 x (sinh.f64 y))) 1/2) (+.f64 y y)) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (*.f64 (/.f64 1 (sinh.f64 y)) 1/2) (*.f64 y (/.f64 2 x))) |
(*.f64 (/.f64 1 (sinh.f64 y)) (*.f64 1/2 (*.f64 y (/.f64 2 x)))) |
(*.f64 y (*.f64 (/.f64 1 (sinh.f64 y)) (*.f64 1/2 (/.f64 2 x)))) |
(*.f64 1/2 (*.f64 (/.f64 1 (sinh.f64 y)) (*.f64 y (/.f64 2 x)))) |
(*.f64 1/2 (*.f64 y (/.f64 (/.f64 2 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 y x) (neg.f64 (sinh.f64 y))) -1) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) x) -1) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x))) -1) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y)))) -1) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y))) -1) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 y (neg.f64 x))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 y x) (*.f64 (sinh.f64 y) 2)) 2) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 y (*.f64 (sinh.f64 y) 2)) (*.f64 2 (/.f64 1 x))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 y (+.f64 x x)) (/.f64 2 (sinh.f64 y))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 1/4 (*.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 4)) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 y (*.f64 x (*.f64 (sinh.f64 y) 2))) 2) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 y 2) (*.f64 2 (/.f64 1 (*.f64 x (sinh.f64 y))))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 y x) 2) (/.f64 2 (sinh.f64 y))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 2) 2) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) 4)) (*.f64 (/.f64 y x) 4)) |
(*.f64 (/.f64 y x) (*.f64 4 (/.f64 1 (*.f64 4 (sinh.f64 y))))) |
(*.f64 4 (*.f64 (/.f64 1/4 (sinh.f64 y)) (/.f64 y x))) |
(*.f64 4 (*.f64 (/.f64 y x) (/.f64 1/4 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 x (sinh.f64 y)) 4)) (*.f64 y 4)) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 -1 x) (/.f64 (neg.f64 y) (sinh.f64 y))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) (neg.f64 x))) (neg.f64 y)) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 (sinh.f64 y)))) (neg.f64 y)) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (/.f64 -1 (*.f64 x (sinh.f64 y))) (neg.f64 y)) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (+.f64 (/.f64 1/2 (sinh.f64 y)) (/.f64 1/2 (sinh.f64 y))) (/.f64 y x)) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 y (sinh.f64 y))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(*.f64 (+.f64 (/.f64 1/2 (*.f64 x (sinh.f64 y))) (/.f64 1/2 (*.f64 x (sinh.f64 y)))) y) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(pow.f64 (/.f64 y (*.f64 x (sinh.f64 y))) 1) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(neg.f64 (neg.f64 (/.f64 y (*.f64 x (sinh.f64 y))))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 (sinh.f64 y)))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) x)) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(neg.f64 (/.f64 y (*.f64 (sinh.f64 y) (neg.f64 x)))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(neg.f64 (/.f64 y (*.f64 x (neg.f64 (sinh.f64 y))))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x (sinh.f64 y)))) |
(/.f64 y (*.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 y x) (sinh.f64 y)) |
(+.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(+.f64 0 (*.f64 x (/.f64 (sinh.f64 y) y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(-.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 0) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1 (*.f64 x (/.f64 (sinh.f64 y) y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (+.f64 x x) (*.f64 (/.f64 (sinh.f64 y) y) 1/2)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 2 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 x)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 2 (/.f64 x (*.f64 y (/.f64 2 (sinh.f64 y))))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 2 (/.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 2 (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) x)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 2 (*.f64 (/.f64 (/.f64 x y) 2) (sinh.f64 y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 x y) 2)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 x (+.f64 y y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 1 (+.f64 y y)) x)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 x (sinh.f64 y)) (/.f64 1 y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 x (*.f64 (sinh.f64 y) 2)) (/.f64 1 (+.f64 y y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 (sinh.f64 y) 4) (/.f64 1 (*.f64 (/.f64 y x) 4))) |
(*.f64 (sinh.f64 y) (*.f64 4 (/.f64 1 (*.f64 4 (/.f64 y x))))) |
(*.f64 (sinh.f64 y) (*.f64 4 (/.f64 1/4 (/.f64 y x)))) |
(*.f64 (/.f64 x (*.f64 y 4)) (*.f64 4 (sinh.f64 y))) |
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4))) |
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 4 (/.f64 y (sinh.f64 y))))) |
(*.f64 4 (*.f64 (/.f64 1/4 (/.f64 y (sinh.f64 y))) x)) |
(*.f64 4 (*.f64 x (/.f64 (sinh.f64 y) (*.f64 y 4)))) |
(*.f64 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 2 y))) 1/2) |
(*.f64 1/2 (*.f64 (sinh.f64 y) (*.f64 (/.f64 2 y) x))) |
(*.f64 1/2 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 2 y)))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (/.f64 y x))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (neg.f64 x) (/.f64 -1 (/.f64 y (sinh.f64 y)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 -1 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 x y) (sinh.f64 y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 x y) (/.f64 2 (/.f64 2 (sinh.f64 y)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sinh.f64 y) y) x) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (/.f64 1 x))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 1 y) (*.f64 x (sinh.f64 y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sinh.f64 y)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 x))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (*.f64 x (*.f64 (sinh.f64 y) (/.f64 2 y)))) |
(*.f64 1/2 (*.f64 (sinh.f64 y) (*.f64 (/.f64 2 y) x))) |
(*.f64 (/.f64 (/.f64 x y) 2) (*.f64 (sinh.f64 y) 2)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1/2) (+.f64 x x)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 (/.f64 x y) 1/2) (*.f64 (sinh.f64 y) 2)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x))) -1) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 x (/.f64 1 (sinh.f64 y))) (/.f64 1 y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 2 (/.f64 2 (sinh.f64 y))) (/.f64 x y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 1 x)) (/.f64 1 y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 x (+.f64 y y)) (*.f64 (sinh.f64 y) 2)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 1 (+.f64 y y)) (*.f64 x (*.f64 (sinh.f64 y) 2))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 (sinh.f64 y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 x))) 2) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 x (*.f64 y (/.f64 2 (sinh.f64 y)))) 2) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 y x) 4)) (*.f64 (sinh.f64 y) 4)) |
(*.f64 (sinh.f64 y) (*.f64 4 (/.f64 1 (*.f64 4 (/.f64 y x))))) |
(*.f64 (sinh.f64 y) (*.f64 4 (/.f64 1/4 (/.f64 y x)))) |
(*.f64 (/.f64 x (*.f64 y 4)) (*.f64 4 (sinh.f64 y))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sinh.f64 y)) 4)) (*.f64 x 4)) |
(*.f64 (*.f64 x 4) (/.f64 1 (*.f64 4 (/.f64 y (sinh.f64 y))))) |
(*.f64 4 (*.f64 (/.f64 1/4 (/.f64 y (sinh.f64 y))) x)) |
(*.f64 4 (*.f64 x (/.f64 (sinh.f64 y) (*.f64 y 4)))) |
(*.f64 (/.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2) 2) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 -1 (/.f64 y (sinh.f64 y))) (neg.f64 x)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) (sinh.f64 y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(neg.f64 (neg.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 y (neg.f64 x)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sinh.f64 y)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(neg.f64 (/.f64 (neg.f64 (*.f64 x (sinh.f64 y))) y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) | |
| 0.1b | (/.f64 y (sin.f64 x)) | |
| ✓ | 0.2b | (/.f64 y (/.f64 y (sin.f64 x))) |
Compiled 16 to 5 computations (68.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 y (/.f64 y (sin.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 y (/.f64 y (sin.f64 x))) |
| 0.0ms | y | @ | inf | (/.f64 y (/.f64 y (sin.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 y (/.f64 y (sin.f64 x))) |
| 0.0ms | y | @ | -inf | (/.f64 y (/.f64 y (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1552× | rational.json-1 |
| 1552× | rational.json-2 |
| 1552× | rational.json-3 |
| 1548× | rational.json-4 |
| 1532× | exponential.json-3 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 61 | 5 |
| 2 | 193 | 5 |
| 3 | 646 | 5 |
| 4 | 2054 | 5 |
| 5 | 5650 | 5 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (/.f64 y (sin.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)) (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 1/2 (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 (sin.f64 x) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sin.f64 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 y)) (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (*.f64 (sin.f64 x) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y (sin.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) x)))))) |
| 1× | egg-herbie |
| 1166× | rational.json-simplify-35 |
| 1076× | exponential.json-simplify-26 |
| 1050× | rational.json-simplify-2 |
| 768× | rational.json-simplify-53 |
| 628× | rational.json-simplify-41 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 427 |
| 1 | 185 | 427 |
| 2 | 507 | 427 |
| 3 | 2310 | 427 |
| 4 | 5990 | 427 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(+.f64 (sin.f64 x) 0) |
(+.f64 0 (sin.f64 x)) |
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x)))) |
(+.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)) (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2))) |
(+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1) |
(-.f64 (sin.f64 x) 0) |
(-.f64 0 (neg.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) y)) |
(*.f64 (sin.f64 x) 1) |
(*.f64 1 (sin.f64 x)) |
(*.f64 (+.f64 y y) (/.f64 1/2 (/.f64 y (sin.f64 x)))) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 (sin.f64 x) y) 1/2)) |
(*.f64 (*.f64 (sin.f64 x) 2) 1/2) |
(*.f64 2 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2))) |
(*.f64 2 (/.f64 (sin.f64 x) 2)) |
(*.f64 2 (*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) y)) |
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4))) |
(*.f64 (*.f64 (sin.f64 x) 4) 1/4) |
(*.f64 (/.f64 1 y) (*.f64 y (sin.f64 x))) |
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y (sin.f64 x)))) |
(*.f64 (neg.f64 (sin.f64 x)) -1) |
(*.f64 (/.f64 (sin.f64 x) y) y) |
(*.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (/.f64 1 y))) |
(*.f64 -1 (neg.f64 (sin.f64 x))) |
(*.f64 -1 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) (/.f64 y 2)) |
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 1 y)) |
(*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (+.f64 y y)) |
(*.f64 1/2 (*.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (+.f64 y y)) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x))) -1) |
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 y 2) (*.f64 (sin.f64 x) (/.f64 2 y))) |
(*.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)) 2) |
(*.f64 (/.f64 (sin.f64 x) 2) 2) |
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)) (*.f64 y 4)) |
(*.f64 1/4 (*.f64 (sin.f64 x) 4)) |
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 x))) (neg.f64 y)) |
(pow.f64 (sin.f64 x) 1) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(neg.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x)))) |
(sin.f64 x) |
(sin.f64 (-.f64 (PI.f64) x)) |
| Outputs |
|---|
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 x (*.f64 -1/6 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))) |
(+.f64 x (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7))))) |
(+.f64 (+.f64 x (*.f64 1/120 (pow.f64 x 5))) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7)))) |
(+.f64 x (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))) (*.f64 -1/5040 (pow.f64 x 7)))) |
(+.f64 (+.f64 x (*.f64 -1/5040 (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(+.f64 (sin.f64 x) 0) |
(sin.f64 x) |
(+.f64 0 (sin.f64 x)) |
(sin.f64 x) |
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x)))) |
(sin.f64 x) |
(+.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)) (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2))) |
(sin.f64 x) |
(+.f64 (-.f64 1 (neg.f64 (sin.f64 x))) -1) |
(sin.f64 x) |
(-.f64 (sin.f64 x) 0) |
(sin.f64 x) |
(-.f64 0 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 y (/.f64 (sin.f64 x) y)) |
(sin.f64 x) |
(*.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(*.f64 1 (sin.f64 x)) |
(sin.f64 x) |
(*.f64 (+.f64 y y) (/.f64 1/2 (/.f64 y (sin.f64 x)))) |
(sin.f64 x) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 (sin.f64 x) y) 1/2)) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) 2) 1/2) |
(sin.f64 x) |
(*.f64 2 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2))) |
(sin.f64 x) |
(*.f64 2 (/.f64 (sin.f64 x) 2)) |
(sin.f64 x) |
(*.f64 2 (*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) y)) |
(sin.f64 x) |
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4))) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) 4) 1/4) |
(sin.f64 x) |
(*.f64 (/.f64 1 y) (*.f64 y (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y (sin.f64 x)))) |
(sin.f64 x) |
(*.f64 (neg.f64 (sin.f64 x)) -1) |
(sin.f64 x) |
(*.f64 (/.f64 (sin.f64 x) y) y) |
(sin.f64 x) |
(*.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (/.f64 1 y))) |
(sin.f64 x) |
(*.f64 -1 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 -1 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x)))) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) (/.f64 y 2)) |
(sin.f64 x) |
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 1 y)) |
(sin.f64 x) |
(*.f64 (/.f64 1/2 (/.f64 y (sin.f64 x))) (+.f64 y y)) |
(sin.f64 x) |
(*.f64 1/2 (*.f64 (sin.f64 x) 2)) |
(sin.f64 x) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) 1/2) (+.f64 y y)) |
(sin.f64 x) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x))) -1) |
(sin.f64 x) |
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 (sin.f64 x) y)) |
(sin.f64 x) |
(*.f64 (/.f64 y 2) (*.f64 (sin.f64 x) (/.f64 2 y))) |
(sin.f64 x) |
(*.f64 (/.f64 y (*.f64 (/.f64 y (sin.f64 x)) 2)) 2) |
(sin.f64 x) |
(*.f64 (/.f64 (sin.f64 x) 2) 2) |
(sin.f64 x) |
(*.f64 (/.f64 1 (*.f64 (/.f64 y (sin.f64 x)) 4)) (*.f64 y 4)) |
(sin.f64 x) |
(*.f64 1/4 (*.f64 (sin.f64 x) 4)) |
(sin.f64 x) |
(*.f64 (/.f64 -1 (/.f64 y (sin.f64 x))) (neg.f64 y)) |
(sin.f64 x) |
(pow.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(neg.f64 (/.f64 (neg.f64 y) (/.f64 y (sin.f64 x)))) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 (-.f64 (PI.f64) x)) |
(sin.f64 x) |
Compiled 10623 to 5731 computations (46.1% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 744 | 8 | 752 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 745 | 15 | 760 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) |
| ✓ | 0.4b | (/.f64 y (/.f64 y (sin.f64 x))) |
| 29.4b | (/.f64 y (/.f64 y x)) | |
| ▶ | 28.8b | (/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6)))) |
| 28.8b | (/.f64 y (+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y)))) | |
| ▶ | 28.8b | (/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))) |
| ✓ | 29.3b | (/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y))) |
| ▶ | 29.5b | (/.f64 1 (/.f64 (/.f64 y x) y)) |
| ▶ | 29.2b | (/.f64 1 (/.f64 1 x)) |
| ✓ | 0.5b | (/.f64 -1 (/.f64 -1 (sin.f64 x))) |
| 28.8b | (/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x))) | |
| ▶ | 0.3b | (*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x)))) |
| ✓ | 28.8b | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| ✓ | 0.3b | (sin.f64 x) |
| 29.1b | x |
Compiled 218 to 149 computations (31.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| 0.1b | (/.f64 y (sin.f64 x)) | |
| ✓ | 0.2b | (*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x)))) |
| ✓ | 0.3b | (/.f64 1 (/.f64 y (sin.f64 x))) |
Compiled 28 to 11 computations (60.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 1 (/.f64 y (sin.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 y (sin.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 y (sin.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 y (sin.f64 x))) |
| 0.0ms | y | @ | -inf | (/.f64 1 (/.f64 y (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1504× | rational.json-1 |
| 1504× | rational.json-2 |
| 1504× | rational.json-4 |
| 1504× | rational.json-3 |
| 1490× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 1 | 87 | 32 |
| 2 | 218 | 32 |
| 3 | 554 | 32 |
| 4 | 1846 | 32 |
| 5 | 5079 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 y (sin.f64 x))) |
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x)))) |
| Outputs |
|---|
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(neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y))) (neg.f64 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (sinh.f64 y) y))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (sinh.f64 y)))) (neg.f64 (/.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 1308× | rational.json-simplify-2 |
| 1306× | rational.json-simplify-35 |
| 952× | rational.json-simplify-50 |
| 912× | rational.json-simplify-1 |
| 648× | rational.json-simplify-51 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 458 | 5240 |
| 1 | 1419 | 5230 |
| 2 | 4362 | 5230 |
| 3 | 6725 | 5230 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 x y) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (*.f64 1/120 (/.f64 (pow.f64 x 5) y)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y))))) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(+.f64 (/.f64 (sin.f64 x) y) 0) |
(+.f64 0 (/.f64 (sin.f64 x) y)) |
(+.f64 (/.f64 1 (*.f64 y (/.f64 2 (sin.f64 x)))) (/.f64 1 (*.f64 y (/.f64 2 (sin.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (+.f64 y y)) (/.f64 (sin.f64 x) (+.f64 y y))) |
(-.f64 (/.f64 (sin.f64 x) y) 0) |
(-.f64 0 (neg.f64 (/.f64 (sin.f64 x) y))) |
(-.f64 0 (/.f64 (sin.f64 x) (neg.f64 y))) |
(*.f64 1 (/.f64 (sin.f64 x) y)) |
(*.f64 (sin.f64 x) (/.f64 1 y)) |
(*.f64 (/.f64 (sin.f64 x) y) 1) |
(*.f64 2 (/.f64 (sin.f64 x) (+.f64 y y))) |
(*.f64 2 (/.f64 (/.f64 (sin.f64 x) y) 2)) |
(*.f64 2 (*.f64 (sin.f64 x) (/.f64 1/2 y))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 y)) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 y) 1/2)) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 y 4))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) 1/2) |
(*.f64 (/.f64 1 y) (sin.f64 x)) |
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (sin.f64 x)))) |
(*.f64 -1 (/.f64 (sin.f64 x) (neg.f64 y))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 y)) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 2 y))) |
(*.f64 (/.f64 1/2 y) (*.f64 (sin.f64 x) 2)) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) -1) |
(*.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 1 y)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) -1) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 y y)) 2) |
(*.f64 (/.f64 -1 y) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) 2) 2) |
(*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (sin.f64 x) 4)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 1/2 y)) 2) |
(pow.f64 (/.f64 (sin.f64 x) y) 1) |
(neg.f64 (neg.f64 (/.f64 (sin.f64 x) y))) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 0) |
(+.f64 0 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) |
(+.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))) (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x))))) |
(-.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 0) |
(-.f64 0 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y)))) |
(/.f64 1 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (sin.f64 x) (neg.f64 (/.f64 (neg.f64 y) (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1) |
(/.f64 2 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) 2) (*.f64 y (/.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) 2) (+.f64 (neg.f64 (/.f64 (neg.f64 y) (sinh.f64 y))) (neg.f64 (/.f64 (neg.f64 y) (sinh.f64 y))))) |
(/.f64 4 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y))))) |
(/.f64 4 (/.f64 (*.f64 (/.f64 y (sin.f64 x)) 4) (sinh.f64 y))) |
(/.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 2 y))) 2) |
(/.f64 (*.f64 (sin.f64 x) 4) (/.f64 (*.f64 y 4) (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 4 (/.f64 y (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) (/.f64 2 (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 y)) (*.f64 2 (/.f64 1 (sinh.f64 y)))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 y (/.f64 2 (sin.f64 x)))) |
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) |
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) |
(/.f64 -1 (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y)))) |
(/.f64 -1 (*.f64 (neg.f64 (/.f64 y (sin.f64 x))) (/.f64 1 (sinh.f64 y)))) |
(/.f64 -1 (neg.f64 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 y) (sinh.f64 y))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 (sinh.f64 y) y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) y)) (/.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) |
(/.f64 (*.f64 (sinh.f64 y) 4) (*.f64 (/.f64 y (sin.f64 x)) 4)) |
(/.f64 8 (*.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y)))))) |
(/.f64 8 (+.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 x)) 4) (sinh.f64 y)) (/.f64 (*.f64 (/.f64 y (sin.f64 x)) 4) (sinh.f64 y)))) |
(/.f64 8 (+.f64 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y)))) (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y)))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (*.f64 4 (/.f64 1 (sinh.f64 y)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (+.f64 (/.f64 2 (sinh.f64 y)) (/.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (+.f64 (*.f64 2 (/.f64 1 (sinh.f64 y))) (*.f64 2 (/.f64 1 (sinh.f64 y))))) |
(/.f64 -2 (*.f64 2 (*.f64 (neg.f64 (/.f64 y (sin.f64 x))) (/.f64 1 (sinh.f64 y))))) |
(/.f64 -2 (*.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))) (/.f64 1 (sinh.f64 y)))) |
(/.f64 -2 (+.f64 (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))) (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y))))) |
(/.f64 -2 (+.f64 (*.f64 (neg.f64 (/.f64 y (sin.f64 x))) (/.f64 1 (sinh.f64 y))) (*.f64 (neg.f64 (/.f64 y (sin.f64 x))) (/.f64 1 (sinh.f64 y))))) |
(/.f64 -2 (neg.f64 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) 4)) 4) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (/.f64 (*.f64 y 4) (sinh.f64 y)))) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (/.f64 (*.f64 2 (*.f64 y 4)) (sinh.f64 y))) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (+.f64 (*.f64 4 (/.f64 y (sinh.f64 y))) (*.f64 4 (/.f64 y (sinh.f64 y))))) |
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) -2) (*.f64 2 (/.f64 (neg.f64 y) (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) -2) (/.f64 (*.f64 y -2) (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (/.f64 -1 (/.f64 (sinh.f64 y) y)) (/.f64 -1 (/.f64 (sinh.f64 y) y)))) |
(/.f64 (*.f64 (sin.f64 x) -2) (neg.f64 (*.f64 y (/.f64 2 (sinh.f64 y))))) |
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 y (sin.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (/.f64 -1 (sinh.f64 y))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (neg.f64 (/.f64 1 (sinh.f64 y)))) |
(/.f64 16 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y))))) (*.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) (/.f64 2 (sinh.f64 y))))))) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) 4))) 8) |
(/.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) (*.f64 2 (/.f64 1 (sin.f64 x)))) |
(/.f64 (*.f64 2 (neg.f64 (sinh.f64 y))) (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x))))) |
(/.f64 (*.f64 2 (/.f64 1 y)) (+.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(/.f64 (*.f64 2 (/.f64 1 y)) (+.f64 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)))) |
(/.f64 (*.f64 2 (neg.f64 (/.f64 (sin.f64 x) y))) (+.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 -1 (sinh.f64 y)))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) 4))) (+.f64 (/.f64 (*.f64 2 (*.f64 y 4)) (sinh.f64 y)) (/.f64 (*.f64 2 (*.f64 y 4)) (sinh.f64 y)))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 x) 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 y 4) (sinh.f64 y))) (*.f64 2 (/.f64 (*.f64 y 4) (sinh.f64 y))))) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) -2)) (+.f64 (/.f64 (*.f64 y -2) (sinh.f64 y)) (/.f64 (*.f64 y -2) (sinh.f64 y)))) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) -2)) (+.f64 (*.f64 2 (/.f64 (neg.f64 y) (sinh.f64 y))) (*.f64 2 (/.f64 (neg.f64 y) (sinh.f64 y))))) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) y) 4)) (+.f64 (*.f64 4 (/.f64 1 (sinh.f64 y))) (*.f64 4 (/.f64 1 (sinh.f64 y))))) |
(/.f64 -4 (+.f64 (*.f64 2 (*.f64 (neg.f64 (/.f64 y (sin.f64 x))) (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 (neg.f64 (/.f64 y (sin.f64 x))) (/.f64 1 (sinh.f64 y)))))) |
(/.f64 -4 (+.f64 (*.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))) (/.f64 1 (sinh.f64 y))) (*.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))) (/.f64 1 (sinh.f64 y))))) |
(/.f64 (*.f64 2 (*.f64 (sinh.f64 y) 4)) (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sin.f64 x) (/.f64 2 y))) (+.f64 (/.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 y (sinh.f64 y))) 4) |
(/.f64 (/.f64 1 (/.f64 1 (sinh.f64 y))) (/.f64 y (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) y) |
(/.f64 (/.f64 2 (/.f64 1 (sinh.f64 y))) (*.f64 y (/.f64 2 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (sinh.f64 y))) (+.f64 y y)) |
(/.f64 (/.f64 4 (/.f64 1 (sinh.f64 y))) (*.f64 (/.f64 y (sin.f64 x)) 4)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (sinh.f64 y))) (*.f64 y 4)) |
(/.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y))) (/.f64 1 (sin.f64 x))) |
(/.f64 (/.f64 -1 (/.f64 1 (sinh.f64 y))) (neg.f64 (/.f64 y (sin.f64 x)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 8 (/.f64 1 (sinh.f64 y))) (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4))) |
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (/.f64 1 (sinh.f64 y))) 4) |
(/.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y))) (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x))))) |
(/.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y))) (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y))) (*.f64 y -2)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x))) 4) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))) -1) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) y) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) y) (*.f64 2 (/.f64 1 (sin.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))) 1/2) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y)) (/.f64 1/2 (sin.f64 x))) |
(/.f64 (/.f64 (sinh.f64 y) 2) (/.f64 (/.f64 y (sin.f64 x)) 2)) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 2)) (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x))))) |
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) y)) (neg.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (/.f64 y (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 4)) (neg.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (sinh.f64 y) 2) y) (/.f64 (*.f64 (sinh.f64 y) 2) y)) (+.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 2 (/.f64 1 (sin.f64 x))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x))) (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x)))) 8) |
(/.f64 (+.f64 (neg.f64 (*.f64 (sinh.f64 y) 2)) (neg.f64 (*.f64 (sinh.f64 y) 2))) (*.f64 2 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) 4))) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) 4)))) 16) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) (*.f64 2 (/.f64 (sinh.f64 y) y))) (+.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 2 (/.f64 1 (sin.f64 x))))) |
(/.f64 (+.f64 (*.f64 2 (neg.f64 (sinh.f64 y))) (*.f64 2 (neg.f64 (sinh.f64 y)))) (*.f64 2 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x)))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 y (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 y (sinh.f64 y)))) 8) |
(/.f64 (+.f64 (/.f64 1 (/.f64 1 (sinh.f64 y))) (/.f64 1 (/.f64 1 (sinh.f64 y)))) (*.f64 y (/.f64 2 (sin.f64 x)))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))) (+.f64 y y)) |
(/.f64 (+.f64 (/.f64 2 (/.f64 1 (sinh.f64 y))) (/.f64 2 (/.f64 1 (sinh.f64 y)))) (*.f64 (/.f64 y (sin.f64 x)) 4)) |
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (sinh.f64 y)))) (*.f64 y 4)) |
(/.f64 (+.f64 (/.f64 4 (/.f64 1 (sinh.f64 y))) (/.f64 4 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4))) |
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 y 4))) |
(/.f64 (+.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y))) (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))) (*.f64 2 (/.f64 1 (sin.f64 x)))) |
(/.f64 (+.f64 (/.f64 -1 (/.f64 1 (sinh.f64 y))) (/.f64 -1 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x))))) |
(/.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) (*.f64 y -2)) |
(/.f64 (+.f64 (/.f64 8 (/.f64 1 (sinh.f64 y))) (/.f64 8 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (/.f64 1 (sinh.f64 y))) (/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (/.f64 1 (sinh.f64 y)))) 8) |
(/.f64 (+.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y))) (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x)))))) |
(/.f64 (+.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y))) (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 y -2))) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))) (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y)))) -2) |
(/.f64 (+.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))) (+.f64 y y)) |
(/.f64 (+.f64 (neg.f64 (/.f64 (sinh.f64 y) y)) (neg.f64 (/.f64 (sinh.f64 y) y))) (+.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (sin.f64 x))))) |
(/.f64 (+.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (neg.f64 (sinh.f64 y)))) (*.f64 y (/.f64 2 (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 4)) (neg.f64 (*.f64 (/.f64 y (sin.f64 x)) 4))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) y)) (neg.f64 (*.f64 2 (/.f64 1 (sin.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) 2))) (*.f64 y (/.f64 2 (sin.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) 2))) (neg.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (sinh.f64 y)))) (neg.f64 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x)))))) |
(/.f64 (neg.f64 (/.f64 1 (/.f64 1 (sinh.f64 y)))) (neg.f64 (/.f64 y (sin.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 2 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (sinh.f64 y)))) (*.f64 y -2)) |
(/.f64 (neg.f64 (/.f64 4 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 (/.f64 y (sin.f64 x)) 4))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 y 4))) |
(/.f64 (neg.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))) (neg.f64 (/.f64 1 (sin.f64 x)))) |
(/.f64 (neg.f64 (/.f64 -1 (/.f64 1 (sinh.f64 y)))) (/.f64 y (sin.f64 x))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) y) |
(/.f64 (neg.f64 (/.f64 8 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4)))) |
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (*.f64 y (/.f64 2 (sin.f64 x)))) |
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x)))))) |
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (neg.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y)))) (+.f64 y y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 y -2))) |
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y))) (neg.f64 (/.f64 1/2 (sin.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (sinh.f64 y) y))) (/.f64 1 (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sinh.f64 y)))) (neg.f64 (/.f64 y (sin.f64 x)))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y)))) |
| Outputs |
|---|
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 x y) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y)) |
(+.f64 (/.f64 x y) (*.f64 -1/6 (/.f64 (pow.f64 x 3) y))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (*.f64 1/120 (/.f64 (pow.f64 x 5) y)))) |
(+.f64 (/.f64 x y) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)))) |
(+.f64 (/.f64 x y) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (*.f64 1/120 (/.f64 (pow.f64 x 5) y)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y))))) |
(+.f64 (/.f64 x y) (+.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)))) |
(+.f64 (/.f64 x y) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y))))) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(/.f64 (sin.f64 x) y) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
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(/.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y))) (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y))) (*.f64 y -2)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x))) 4) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))) -1) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) y) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) 2) y) (*.f64 2 (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (/.f64 (sinh.f64 y) (*.f64 y (/.f64 2 (sin.f64 x)))) 1/2) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y)) (/.f64 1/2 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (/.f64 (sinh.f64 y) 2) (/.f64 (/.f64 y (sin.f64 x)) 2)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 2)) (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) y)) (neg.f64 (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (/.f64 y (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 4)) (neg.f64 (/.f64 (*.f64 y 4) (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 (sinh.f64 y) 2) y) (/.f64 (*.f64 (sinh.f64 y) 2) y)) (+.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 2 (/.f64 1 (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x))) (/.f64 (*.f64 (sinh.f64 y) 4) (/.f64 y (sin.f64 x)))) 8) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (neg.f64 (*.f64 (sinh.f64 y) 2)) (neg.f64 (*.f64 (sinh.f64 y) 2))) (*.f64 2 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) 4))) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) 4)))) 16) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (sinh.f64 y) y)) (*.f64 2 (/.f64 (sinh.f64 y) y))) (+.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 2 (/.f64 1 (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (*.f64 2 (neg.f64 (sinh.f64 y))) (*.f64 2 (neg.f64 (sinh.f64 y)))) (*.f64 2 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 y (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 y (sinh.f64 y)))) 8) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 1 (/.f64 1 (sinh.f64 y))) (/.f64 1 (/.f64 1 (sinh.f64 y)))) (*.f64 y (/.f64 2 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))) (+.f64 y y)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 2 (/.f64 1 (sinh.f64 y))) (/.f64 2 (/.f64 1 (sinh.f64 y)))) (*.f64 (/.f64 y (sin.f64 x)) 4)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (sinh.f64 y)))) (*.f64 y 4)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 4 (/.f64 1 (sinh.f64 y))) (/.f64 4 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 y 4))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y))) (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))) (*.f64 2 (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 -1 (/.f64 1 (sinh.f64 y))) (/.f64 -1 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) (*.f64 y -2)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 8 (/.f64 1 (sinh.f64 y))) (/.f64 8 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (/.f64 1 (sinh.f64 y))) (/.f64 (*.f64 (/.f64 (sin.f64 x) y) 4) (/.f64 1 (sinh.f64 y)))) 8) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y))) (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y))) (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (*.f64 2 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y))) (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y)))) (*.f64 2 (*.f64 y -2))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))) (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y)))) -2) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))) (+.f64 y y)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (neg.f64 (/.f64 (sinh.f64 y) y)) (neg.f64 (/.f64 (sinh.f64 y) y))) (+.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (neg.f64 (/.f64 1 (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (+.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (neg.f64 (sinh.f64 y)))) (*.f64 y (/.f64 2 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) 4)) (neg.f64 (*.f64 (/.f64 y (sin.f64 x)) 4))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) y)) (neg.f64 (*.f64 2 (/.f64 1 (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) 2))) (*.f64 y (/.f64 2 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) 2))) (neg.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 2 (neg.f64 (sinh.f64 y)))) (neg.f64 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 1 (/.f64 1 (sinh.f64 y)))) (neg.f64 (/.f64 y (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))) (neg.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 2 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (sinh.f64 y)))) (*.f64 y -2)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 4 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 (/.f64 y (sin.f64 x)) 4))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 y 4))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))) (neg.f64 (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 -1 (/.f64 1 (sinh.f64 y)))) (/.f64 y (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) y) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 8 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 2 (*.f64 (/.f64 y (sin.f64 x)) 4)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (*.f64 y (/.f64 2 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 2 (neg.f64 (/.f64 y (sin.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sinh.f64 y)))) (neg.f64 (neg.f64 (*.f64 y (/.f64 2 (sin.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y)))) (+.f64 y y)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (sinh.f64 y)))) (neg.f64 (*.f64 y -2))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))) (neg.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (/.f64 1/2 y))) (neg.f64 (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (sinh.f64 y) y))) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sinh.f64 y)))) (neg.f64 (/.f64 y (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (/.f64 1 x)) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1922× | rational.json-1 |
| 1922× | rational.json-2 |
| 1922× | rational.json-4 |
| 1922× | rational.json-3 |
| 1160× | rational.json-simplify-35 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 1 |
| 1 | 53 | 1 |
| 2 | 143 | 1 |
| 3 | 333 | 1 |
| 4 | 1415 | 1 |
| 5 | 5755 | 1 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 0 (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 0 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (/.f64 2 x)) (/.f64 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x x) (+.f64 x x)) (/.f64 (*.f64 x x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 x (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x x)) (/.f64 (/.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 (*.f64 x x))) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) 2) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 2 (*.f64 x x))) (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (/.f64 1 x)) (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x . x))))) |
| 1× | egg-herbie |
| 1306× | rational.json-simplify-2 |
| 720× | rational.json-simplify-49 |
| 670× | rational.json-simplify-59 |
| 632× | rational.json-simplify-51 |
| 578× | rational.json-simplify-47 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 48 |
| 1 | 144 | 48 |
| 2 | 488 | 48 |
| 3 | 3671 | 48 |
| 1× | node limit |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(+.f64 x 0) |
(+.f64 x (/.f64 0 (/.f64 1 (*.f64 x x)))) |
(+.f64 x (/.f64 0 (*.f64 x x))) |
(+.f64 0 x) |
(+.f64 -1 (-.f64 1 (neg.f64 x))) |
(+.f64 (/.f64 1 (/.f64 2 x)) (/.f64 1 (/.f64 2 x))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x x)) (/.f64 (*.f64 x x) (+.f64 x x))) |
(-.f64 x 0) |
(-.f64 0 (neg.f64 x)) |
(*.f64 1 x) |
(*.f64 x 1) |
(*.f64 x (/.f64 x x)) |
(*.f64 (/.f64 1 x) (*.f64 x x)) |
(*.f64 2 (/.f64 x 2)) |
(*.f64 2 (/.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))) |
(*.f64 (+.f64 x x) 1/2) |
(*.f64 (/.f64 2 x) (/.f64 1 (/.f64 2 (*.f64 x x)))) |
(*.f64 (/.f64 1 (*.f64 x x)) (/.f64 x (/.f64 1 (*.f64 x x)))) |
(*.f64 (*.f64 x x) (/.f64 1 x)) |
(*.f64 (*.f64 x 4) 1/4) |
(*.f64 -1 (neg.f64 x)) |
(*.f64 (neg.f64 x) -1) |
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (/.f64 2 (*.f64 x x)))) |
(*.f64 (*.f64 x (+.f64 x x)) (/.f64 (/.f64 1 x) 2)) |
(*.f64 1/2 (+.f64 x x)) |
(*.f64 (/.f64 x x) x) |
(*.f64 (/.f64 x (/.f64 1 (*.f64 x x))) (/.f64 1 (*.f64 x x))) |
(*.f64 1/4 (*.f64 x 4)) |
(*.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 x)) |
(*.f64 (/.f64 x 2) 2) |
(*.f64 (/.f64 (/.f64 1 x) 2) (*.f64 x (+.f64 x x))) |
(*.f64 (/.f64 x (/.f64 2 (*.f64 x x))) (/.f64 2 (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))) 2) |
(pow.f64 x 1) |
(neg.f64 (neg.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (/.f64 1 x)) (/.f64 1 (*.f64 x x)))) |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(+.f64 x 0) |
x |
(+.f64 x (/.f64 0 (/.f64 1 (*.f64 x x)))) |
x |
(+.f64 x (/.f64 0 (*.f64 x x))) |
x |
(+.f64 0 x) |
x |
(+.f64 -1 (-.f64 1 (neg.f64 x))) |
x |
(+.f64 (/.f64 1 (/.f64 2 x)) (/.f64 1 (/.f64 2 x))) |
x |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x x)) (/.f64 (*.f64 x x) (+.f64 x x))) |
x |
(-.f64 x 0) |
x |
(-.f64 0 (neg.f64 x)) |
x |
(*.f64 1 x) |
x |
(*.f64 x 1) |
x |
(*.f64 x (/.f64 x x)) |
x |
(*.f64 (/.f64 1 x) (*.f64 x x)) |
x |
(*.f64 2 (/.f64 x 2)) |
x |
(*.f64 2 (/.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))) |
x |
(*.f64 (+.f64 x x) 1/2) |
x |
(*.f64 (/.f64 2 x) (/.f64 1 (/.f64 2 (*.f64 x x)))) |
x |
(*.f64 (/.f64 1 (*.f64 x x)) (/.f64 x (/.f64 1 (*.f64 x x)))) |
x |
(*.f64 (*.f64 x x) (/.f64 1 x)) |
x |
(*.f64 (*.f64 x 4) 1/4) |
x |
(*.f64 -1 (neg.f64 x)) |
x |
(*.f64 (neg.f64 x) -1) |
x |
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 x (/.f64 2 (*.f64 x x)))) |
x |
(*.f64 (*.f64 x (+.f64 x x)) (/.f64 (/.f64 1 x) 2)) |
x |
(*.f64 1/2 (+.f64 x x)) |
x |
(*.f64 (/.f64 x x) x) |
x |
(*.f64 (/.f64 x (/.f64 1 (*.f64 x x))) (/.f64 1 (*.f64 x x))) |
x |
(*.f64 1/4 (*.f64 x 4)) |
x |
(*.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 x)) |
x |
(*.f64 (/.f64 x 2) 2) |
x |
(*.f64 (/.f64 (/.f64 1 x) 2) (*.f64 x (+.f64 x x))) |
x |
(*.f64 (/.f64 x (/.f64 2 (*.f64 x x))) (/.f64 2 (*.f64 x x))) |
x |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))) 2) |
x |
(pow.f64 x 1) |
x |
(neg.f64 (neg.f64 x)) |
x |
(neg.f64 (/.f64 (neg.f64 (/.f64 1 x)) (/.f64 1 (*.f64 x x)))) |
x |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (/.f64 (/.f64 y x) y)) |
| ✓ | 11.4b | (/.f64 (/.f64 y x) y) |
Compiled 20 to 7 computations (65% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 (/.f64 y x) y) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 y x) y) |
| 0.0ms | y | @ | inf | (/.f64 (/.f64 y x) y) |
| 0.0ms | y | @ | -inf | (/.f64 (/.f64 y x) y) |
| 0.0ms | y | @ | inf | (/.f64 1 (/.f64 (/.f64 y x) y)) |
| 1× | batch-egg-rewrite |
| 1904× | rational.json-1 |
| 1904× | rational.json-2 |
| 1904× | rational.json-3 |
| 1764× | rational.json-simplify-35 |
| 916× | exponential.json-3 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 1 | 73 | 26 |
| 2 | 234 | 8 |
| 3 | 726 | 8 |
| 4 | 2479 | 8 |
| 5 | 6879 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 y x) y) |
(/.f64 1 (/.f64 (/.f64 y x) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (/.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1 y) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 (/.f64 1 x) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 x)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 x)) (*.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y (/.f64 (/.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 y x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 y (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 4) (/.f64 1 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) x) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (/.f64 2 x)) (/.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (/.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 y) x) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (/.f64 1/2 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 x) y) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 y (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 2) (*.f64 (/.f64 1 y) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) (+.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) 2) (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (/.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 x (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (*.f64 x 4))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (neg.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 1/2 y) x) (/.f64 (/.f64 1/2 y) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y x) (neg.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y (/.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (/.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 y y)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 (/.f64 (/.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 (neg.f64 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 y (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y y)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 y x) 4)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x . x))))) |
| 1× | egg-herbie |
| 1076× | rational.json-simplify-51 |
| 1036× | rational.json-simplify-44 |
| 824× | rational.json-simplify-47 |
| 816× | rational.json-simplify-46 |
| 786× | rational.json-simplify-35 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 835 |
| 1 | 362 | 799 |
| 2 | 1031 | 799 |
| 3 | 4907 | 799 |
| 4 | 6864 | 799 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(+.f64 (/.f64 1 x) 0) |
(+.f64 0 (/.f64 1 x)) |
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 x)))) |
(+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) |
(-.f64 (/.f64 1 x) 0) |
(-.f64 0 (neg.f64 (/.f64 1 x))) |
(*.f64 y (/.f64 (/.f64 1 x) y)) |
(*.f64 (/.f64 y x) (/.f64 1 y)) |
(*.f64 (/.f64 1 x) 1) |
(*.f64 1 (/.f64 1 x)) |
(*.f64 (+.f64 y y) (/.f64 (/.f64 1/2 y) x)) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 1 y) (/.f64 1/2 x))) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 (/.f64 1 x) y) 1/2)) |
(*.f64 (*.f64 y (/.f64 2 x)) (/.f64 1/2 y)) |
(*.f64 (*.f64 y (/.f64 2 x)) (*.f64 (/.f64 1 y) 1/2)) |
(*.f64 2 (/.f64 1/2 x)) |
(*.f64 2 (*.f64 y (/.f64 (/.f64 1/2 y) x))) |
(*.f64 2 (/.f64 (/.f64 y x) (+.f64 y y))) |
(*.f64 2 (/.f64 y (*.f64 x (+.f64 y y)))) |
(*.f64 2 (*.f64 (/.f64 1/2 y) (/.f64 y x))) |
(*.f64 (/.f64 2 x) 1/2) |
(*.f64 (*.f64 2 (/.f64 2 x)) 1/4) |
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 y (*.f64 x 4)))) |
(*.f64 (*.f64 (/.f64 y x) 4) (/.f64 1 (*.f64 y 4))) |
(*.f64 (/.f64 1 y) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 1 x) y) y) |
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 y (neg.f64 x)))) |
(*.f64 (neg.f64 y) (/.f64 -1 (*.f64 y x))) |
(*.f64 -1 (neg.f64 (/.f64 1 x))) |
(*.f64 -1 (/.f64 y (*.f64 y (neg.f64 x)))) |
(*.f64 -1 (/.f64 (neg.f64 y) (*.f64 y x))) |
(*.f64 -1 (/.f64 (/.f64 y x) (neg.f64 y))) |
(*.f64 (neg.f64 (/.f64 1 x)) -1) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 -1 y)) |
(*.f64 (*.f64 (/.f64 1 y) (/.f64 2 x)) (/.f64 y 2)) |
(*.f64 (/.f64 2 y) (/.f64 (/.f64 y x) 2)) |
(*.f64 (/.f64 1/2 y) (*.f64 y (/.f64 2 x))) |
(*.f64 (/.f64 (/.f64 1/2 y) x) (+.f64 y y)) |
(*.f64 1/2 (/.f64 2 x)) |
(*.f64 (/.f64 1/2 x) 2) |
(*.f64 (*.f64 (/.f64 1 y) (/.f64 1/2 x)) (+.f64 y y)) |
(*.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 y (/.f64 2 x))) |
(*.f64 (*.f64 (/.f64 (/.f64 1 x) y) 1/2) (+.f64 y y)) |
(*.f64 (/.f64 -1 y) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 y (*.f64 y (neg.f64 x))) -1) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 y x)) -1) |
(*.f64 (/.f64 (/.f64 y x) (neg.f64 y)) -1) |
(*.f64 (/.f64 y 2) (*.f64 (/.f64 1 y) (/.f64 2 x))) |
(*.f64 (/.f64 (/.f64 y x) (+.f64 y y)) 2) |
(*.f64 1/4 (*.f64 2 (/.f64 2 x))) |
(*.f64 (/.f64 (/.f64 y x) 2) (/.f64 2 y)) |
(*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (/.f64 y x) 4)) |
(*.f64 (/.f64 y (*.f64 x (+.f64 y y))) 2) |
(*.f64 (/.f64 1 (*.f64 y (*.f64 x 4))) (*.f64 y 4)) |
(*.f64 (/.f64 1 (*.f64 y (neg.f64 x))) (neg.f64 y)) |
(*.f64 (/.f64 -1 (*.f64 y x)) (neg.f64 y)) |
(*.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (/.f64 y x)) |
(*.f64 (+.f64 (/.f64 (/.f64 1/2 y) x) (/.f64 (/.f64 1/2 y) x)) y) |
(pow.f64 (/.f64 1 x) 1) |
(neg.f64 (neg.f64 (/.f64 1 x))) |
(neg.f64 (/.f64 y (*.f64 y (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 y x))) |
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 y))) |
(+.f64 x 0) |
(+.f64 0 x) |
(+.f64 -1 (-.f64 1 (neg.f64 x))) |
(-.f64 x 0) |
(-.f64 0 (neg.f64 x)) |
(*.f64 y (/.f64 x y)) |
(*.f64 x 1) |
(*.f64 1 x) |
(*.f64 (+.f64 y y) (/.f64 (/.f64 x y) 2)) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 x y) 1/2)) |
(*.f64 (+.f64 y y) (/.f64 x (+.f64 y y))) |
(*.f64 (+.f64 x x) 1/2) |
(*.f64 2 (*.f64 y (/.f64 (/.f64 x y) 2))) |
(*.f64 2 (/.f64 y (*.f64 y (/.f64 2 x)))) |
(*.f64 2 (/.f64 x 2)) |
(*.f64 2 (*.f64 (/.f64 1/2 y) (*.f64 y x))) |
(*.f64 (*.f64 y x) (/.f64 1 y)) |
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (/.f64 y x) 4))) |
(*.f64 (*.f64 x 4) 1/4) |
(*.f64 (*.f64 x (+.f64 y y)) (/.f64 1/2 y)) |
(*.f64 (/.f64 1 y) (*.f64 y x)) |
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 (/.f64 1 x) y))) |
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y x))) |
(*.f64 -1 (neg.f64 x)) |
(*.f64 -1 (/.f64 y (/.f64 (neg.f64 y) x))) |
(*.f64 (neg.f64 x) -1) |
(*.f64 (/.f64 x y) y) |
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 y))) |
(*.f64 (/.f64 1/2 y) (*.f64 x (+.f64 y y))) |
(*.f64 1/2 (+.f64 x x)) |
(*.f64 (/.f64 (/.f64 x y) 2) (+.f64 y y)) |
(*.f64 (*.f64 (/.f64 x y) 1/2) (+.f64 y y)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y)) |
(*.f64 (/.f64 y (/.f64 (neg.f64 y) x)) -1) |
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 x y)) |
(*.f64 (/.f64 y (*.f64 y (/.f64 2 x))) 2) |
(*.f64 (/.f64 x (+.f64 y y)) (+.f64 y y)) |
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y)) |
(*.f64 (/.f64 x 2) 2) |
(*.f64 (/.f64 1 (*.f64 (/.f64 y x) 4)) (*.f64 y 4)) |
(*.f64 1/4 (*.f64 x 4)) |
(*.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) y) |
(pow.f64 x 1) |
(neg.f64 (neg.f64 x)) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 y) x))) |
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 y))) |
| Outputs |
|---|
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
(/.f64 1 x) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(+.f64 (/.f64 1 x) 0) |
(/.f64 1 x) |
(+.f64 0 (/.f64 1 x)) |
(/.f64 1 x) |
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1/2 x) (/.f64 1/2 x)) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) 0) |
(/.f64 1 x) |
(-.f64 0 (neg.f64 (/.f64 1 x))) |
(/.f64 1 x) |
(*.f64 y (/.f64 (/.f64 1 x) y)) |
(/.f64 1 x) |
(*.f64 (/.f64 y x) (/.f64 1 y)) |
(/.f64 1 x) |
(*.f64 (/.f64 1 x) 1) |
(/.f64 1 x) |
(*.f64 1 (/.f64 1 x)) |
(/.f64 1 x) |
(*.f64 (+.f64 y y) (/.f64 (/.f64 1/2 y) x)) |
(/.f64 1 x) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 1 y) (/.f64 1/2 x))) |
(/.f64 1 x) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 (/.f64 1 x) y) 1/2)) |
(/.f64 1 x) |
(*.f64 (*.f64 y (/.f64 2 x)) (/.f64 1/2 y)) |
(/.f64 1 x) |
(*.f64 (*.f64 y (/.f64 2 x)) (*.f64 (/.f64 1 y) 1/2)) |
(/.f64 1 x) |
(*.f64 2 (/.f64 1/2 x)) |
(/.f64 1 x) |
(*.f64 2 (*.f64 y (/.f64 (/.f64 1/2 y) x))) |
(/.f64 1 x) |
(*.f64 2 (/.f64 (/.f64 y x) (+.f64 y y))) |
(/.f64 1 x) |
(*.f64 2 (/.f64 y (*.f64 x (+.f64 y y)))) |
(/.f64 1 x) |
(*.f64 2 (*.f64 (/.f64 1/2 y) (/.f64 y x))) |
(/.f64 1 x) |
(*.f64 (/.f64 2 x) 1/2) |
(/.f64 1 x) |
(*.f64 (*.f64 2 (/.f64 2 x)) 1/4) |
(/.f64 1 x) |
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 y (*.f64 x 4)))) |
(*.f64 y (*.f64 4 (/.f64 1 (*.f64 x (*.f64 y 4))))) |
(*.f64 (*.f64 y 4) (/.f64 (/.f64 1/4 y) x)) |
(*.f64 y (*.f64 4 (/.f64 1/4 (*.f64 x y)))) |
(*.f64 (*.f64 (/.f64 y x) 4) (/.f64 1 (*.f64 y 4))) |
(*.f64 (/.f64 y x) (*.f64 4 (/.f64 1 (*.f64 y 4)))) |
(*.f64 (/.f64 y x) (*.f64 4 (/.f64 1/4 y))) |
(*.f64 (/.f64 1 y) (/.f64 y x)) |
(/.f64 1 x) |
(*.f64 (/.f64 (/.f64 1 x) y) y) |
(/.f64 1 x) |
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 y (neg.f64 x)))) |
(/.f64 1 x) |
(*.f64 (neg.f64 y) (/.f64 -1 (*.f64 y x))) |
(/.f64 1 x) |
(*.f64 -1 (neg.f64 (/.f64 1 x))) |
(/.f64 1 x) |
(*.f64 -1 (/.f64 y (*.f64 y (neg.f64 x)))) |
(/.f64 1 x) |
(*.f64 -1 (/.f64 (neg.f64 y) (*.f64 y x))) |
(/.f64 1 x) |
(*.f64 -1 (/.f64 (/.f64 y x) (neg.f64 y))) |
(/.f64 1 x) |
(*.f64 (neg.f64 (/.f64 1 x)) -1) |
(/.f64 1 x) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 -1 y)) |
(/.f64 1 x) |
(*.f64 (*.f64 (/.f64 1 y) (/.f64 2 x)) (/.f64 y 2)) |
(/.f64 1 x) |
(*.f64 (/.f64 2 y) (/.f64 (/.f64 y x) 2)) |
(/.f64 1 x) |
(*.f64 (/.f64 1/2 y) (*.f64 y (/.f64 2 x))) |
(/.f64 1 x) |
(*.f64 (/.f64 (/.f64 1/2 y) x) (+.f64 y y)) |
(/.f64 1 x) |
(*.f64 1/2 (/.f64 2 x)) |
(/.f64 1 x) |
(*.f64 (/.f64 1/2 x) 2) |
(/.f64 1 x) |
(*.f64 (*.f64 (/.f64 1 y) (/.f64 1/2 x)) (+.f64 y y)) |
(/.f64 1 x) |
(*.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 y (/.f64 2 x))) |
(/.f64 1 x) |
(*.f64 (*.f64 (/.f64 (/.f64 1 x) y) 1/2) (+.f64 y y)) |
(/.f64 1 x) |
(*.f64 (/.f64 -1 y) (/.f64 (neg.f64 y) x)) |
(/.f64 1 x) |
(*.f64 (/.f64 y (*.f64 y (neg.f64 x))) -1) |
(/.f64 1 x) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 y x)) -1) |
(/.f64 1 x) |
(*.f64 (/.f64 (/.f64 y x) (neg.f64 y)) -1) |
(/.f64 1 x) |
(*.f64 (/.f64 y 2) (*.f64 (/.f64 1 y) (/.f64 2 x))) |
(/.f64 1 x) |
(*.f64 (/.f64 (/.f64 y x) (+.f64 y y)) 2) |
(/.f64 1 x) |
(*.f64 1/4 (*.f64 2 (/.f64 2 x))) |
(/.f64 1 x) |
(*.f64 (/.f64 (/.f64 y x) 2) (/.f64 2 y)) |
(/.f64 1 x) |
(*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 (/.f64 y x) 4)) |
(*.f64 (/.f64 y x) (*.f64 4 (/.f64 1 (*.f64 y 4)))) |
(*.f64 (/.f64 y x) (*.f64 4 (/.f64 1/4 y))) |
(*.f64 (/.f64 y (*.f64 x (+.f64 y y))) 2) |
(/.f64 1 x) |
(*.f64 (/.f64 1 (*.f64 y (*.f64 x 4))) (*.f64 y 4)) |
(*.f64 y (*.f64 4 (/.f64 1 (*.f64 x (*.f64 y 4))))) |
(*.f64 (*.f64 y 4) (/.f64 (/.f64 1/4 y) x)) |
(*.f64 y (*.f64 4 (/.f64 1/4 (*.f64 x y)))) |
(*.f64 (/.f64 1 (*.f64 y (neg.f64 x))) (neg.f64 y)) |
(/.f64 1 x) |
(*.f64 (/.f64 -1 (*.f64 y x)) (neg.f64 y)) |
(/.f64 1 x) |
(*.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (/.f64 y x)) |
(/.f64 1 x) |
(*.f64 (+.f64 (/.f64 (/.f64 1/2 y) x) (/.f64 (/.f64 1/2 y) x)) y) |
(/.f64 1 x) |
(pow.f64 (/.f64 1 x) 1) |
(/.f64 1 x) |
(neg.f64 (neg.f64 (/.f64 1 x))) |
(/.f64 1 x) |
(neg.f64 (/.f64 y (*.f64 y (neg.f64 x)))) |
(/.f64 1 x) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 y x))) |
(/.f64 1 x) |
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 y))) |
(/.f64 1 x) |
(+.f64 x 0) |
x |
(+.f64 0 x) |
x |
(+.f64 -1 (-.f64 1 (neg.f64 x))) |
x |
(-.f64 x 0) |
x |
(-.f64 0 (neg.f64 x)) |
x |
(*.f64 y (/.f64 x y)) |
x |
(*.f64 x 1) |
x |
(*.f64 1 x) |
x |
(*.f64 (+.f64 y y) (/.f64 (/.f64 x y) 2)) |
x |
(*.f64 (+.f64 y y) (*.f64 (/.f64 x y) 1/2)) |
x |
(*.f64 (+.f64 y y) (/.f64 x (+.f64 y y))) |
x |
(*.f64 (+.f64 x x) 1/2) |
x |
(*.f64 2 (*.f64 y (/.f64 (/.f64 x y) 2))) |
x |
(*.f64 2 (/.f64 y (*.f64 y (/.f64 2 x)))) |
x |
(*.f64 2 (/.f64 x 2)) |
x |
(*.f64 2 (*.f64 (/.f64 1/2 y) (*.f64 y x))) |
x |
(*.f64 (*.f64 y x) (/.f64 1 y)) |
x |
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (/.f64 y x) 4))) |
(*.f64 y (*.f64 4 (/.f64 1 (*.f64 (/.f64 y x) 4)))) |
(*.f64 y (*.f64 4 (/.f64 1/4 (/.f64 y x)))) |
(*.f64 4 (*.f64 y (/.f64 x (/.f64 y 1/4)))) |
(*.f64 (*.f64 x 4) 1/4) |
x |
(*.f64 (*.f64 x (+.f64 y y)) (/.f64 1/2 y)) |
x |
(*.f64 (/.f64 1 y) (*.f64 y x)) |
x |
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 (/.f64 1 x) y))) |
x |
(*.f64 (neg.f64 y) (/.f64 -1 (/.f64 y x))) |
x |
(*.f64 -1 (neg.f64 x)) |
x |
(*.f64 -1 (/.f64 y (/.f64 (neg.f64 y) x))) |
x |
(*.f64 (neg.f64 x) -1) |
x |
(*.f64 (/.f64 x y) y) |
x |
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 y))) |
x |
(*.f64 (/.f64 1/2 y) (*.f64 x (+.f64 y y))) |
x |
(*.f64 1/2 (+.f64 x x)) |
x |
(*.f64 (/.f64 (/.f64 x y) 2) (+.f64 y y)) |
x |
(*.f64 (*.f64 (/.f64 x y) 1/2) (+.f64 y y)) |
x |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y)) |
x |
(*.f64 (/.f64 y (/.f64 (neg.f64 y) x)) -1) |
x |
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 x y)) |
x |
(*.f64 (/.f64 y (*.f64 y (/.f64 2 x))) 2) |
x |
(*.f64 (/.f64 x (+.f64 y y)) (+.f64 y y)) |
x |
(*.f64 (/.f64 -1 (/.f64 y x)) (neg.f64 y)) |
x |
(*.f64 (/.f64 x 2) 2) |
x |
(*.f64 (/.f64 1 (*.f64 (/.f64 y x) 4)) (*.f64 y 4)) |
(*.f64 y (*.f64 4 (/.f64 1 (*.f64 (/.f64 y x) 4)))) |
(*.f64 y (*.f64 4 (/.f64 1/4 (/.f64 y x)))) |
(*.f64 4 (*.f64 y (/.f64 x (/.f64 y 1/4)))) |
(*.f64 1/4 (*.f64 x 4)) |
x |
(*.f64 (+.f64 (/.f64 (/.f64 x y) 2) (/.f64 (/.f64 x y) 2)) y) |
x |
(pow.f64 x 1) |
x |
(neg.f64 (neg.f64 x)) |
x |
(neg.f64 (/.f64 y (/.f64 (neg.f64 y) x))) |
x |
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 y))) |
x |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
| ✓ | 0.2b | (/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))) |
| ✓ | 0.3b | (*.f64 1/6 (*.f64 y x)) |
Compiled 36 to 14 computations (61.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))) |
| 1.0ms | y | @ | 0 | (/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))) |
| 1.0ms | y | @ | -inf | (/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))) |
| 0.0ms | y | @ | inf | (*.f64 1/6 (*.f64 y x)) |
| 0.0ms | x | @ | inf | (*.f64 1/6 (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 1922× | rational.json-1 |
| 1922× | rational.json-2 |
| 1922× | rational.json-4 |
| 1922× | rational.json-3 |
| 1908× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 69 |
| 1 | 72 | 69 |
| 2 | 191 | 69 |
| 3 | 508 | 69 |
| 4 | 1408 | 69 |
| 5 | 5065 | 69 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (*.f64 y x)) |
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (*.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 1/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y x) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y x) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 y x) 2/3)) (*.f64 2 (*.f64 (*.f64 y x) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 y x)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (*.f64 2 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 y 2) (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 1/4 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 1/2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (*.f64 2 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 1/2 (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 (*.f64 1/6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 y 2) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 1/4 (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 1010× | rational.json-simplify-1 |
| 920× | rational.json-simplify-51 |
| 898× | rational.json-simplify-39 |
| 864× | rational.json-simplify-43 |
| 628× | rational.json-simplify-53 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 3702 |
| 1 | 487 | 3694 |
| 2 | 1094 | 3502 |
| 3 | 3980 | 3502 |
| 4 | 6923 | 3486 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/216 (pow.f64 x 7)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x))) |
(/.f64 6 x) |
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 6 x) |
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(/.f64 y x) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(+.f64 (*.f64 1/6 (*.f64 y x)) 0) |
(+.f64 0 (*.f64 1/6 (*.f64 y x))) |
(-.f64 (*.f64 1/6 (*.f64 y x)) 0) |
(/.f64 (*.f64 1/6 (*.f64 y x)) 1) |
(/.f64 (*.f64 x (*.f64 1/3 y)) 2) |
(/.f64 (*.f64 (*.f64 y x) 2/3) 4) |
(/.f64 (*.f64 2 (*.f64 (*.f64 y x) 2/3)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 y x) 2/3)) (*.f64 2 (*.f64 (*.f64 y x) 2/3))) 16) |
(pow.f64 (*.f64 1/6 (*.f64 y x)) 1) |
(+.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 0) |
(+.f64 0 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))))) |
(-.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 0) |
(*.f64 y (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(*.f64 y (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))) |
(*.f64 y (*.f64 (*.f64 2 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) 1/2)) |
(*.f64 y (*.f64 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2)) |
(*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1) |
(*.f64 1 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(*.f64 (+.f64 y y) (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2)) |
(*.f64 (+.f64 y y) (*.f64 (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2) 1)) |
(*.f64 (+.f64 y y) (*.f64 (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) 1/2)) |
(*.f64 2 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))))) |
(*.f64 2 (*.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) 1)) |
(*.f64 2 (*.f64 (/.f64 y 2) (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) |
(*.f64 2 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2)) |
(*.f64 2 (*.f64 y (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))) |
(*.f64 2 (*.f64 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) y)) |
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)))) |
(*.f64 (*.f64 y 4) (*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))) 1)) |
(*.f64 (*.f64 y 4) (*.f64 1/4 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) |
(*.f64 (*.f64 y 4) (*.f64 1/2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))) |
(*.f64 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 2) 1/2) |
(*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) y) |
(*.f64 (neg.f64 y) (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) 1)) |
(*.f64 -1 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(*.f64 -1 (*.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) 1)) |
(*.f64 1/2 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 2)) |
(*.f64 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (+.f64 y y)) |
(*.f64 (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2) (+.f64 y y)) |
(*.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1) |
(*.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) 2) |
(*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))) (*.f64 y 4)) |
(*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (neg.f64 y)) |
(pow.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1) |
(neg.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 0) |
(-.f64 0 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(*.f64 y (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(*.f64 y (*.f64 (*.f64 2 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2)) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1) |
(*.f64 1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) |
(*.f64 (+.f64 y y) (*.f64 1/2 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(*.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (*.f64 x 1/12))) |
(*.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 (*.f64 1/6 x) 2))) |
(*.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))) 1/2) |
(*.f64 2 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2)) |
(*.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2) 1)) |
(*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1/2)) |
(*.f64 2 (*.f64 (/.f64 y 2) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(*.f64 (*.f64 y 4) (*.f64 1/4 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(*.f64 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)) 1/4) |
(*.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1) |
(*.f64 -1 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(*.f64 1/2 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) |
(*.f64 1/2 (*.f64 (+.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 1/4 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2) 2) |
(/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1) |
(/.f64 1 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(/.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))) 2) |
(/.f64 2 (*.f64 2 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) |
(/.f64 2 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)) 4) |
(/.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1) |
(/.f64 -1 (-.f64 0 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 8) 8) |
(/.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) -2) -2) |
(/.f64 1/2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) -2) |
(/.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (/.f64 1 y)) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 8)) 16) |
(pow.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1) |
(neg.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
| Outputs |
|---|
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 x (*.f64 -1/6 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/36 (pow.f64 x 5)))) |
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/36 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/216 (pow.f64 x 7)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) (+.f64 x (*.f64 -1/216 (pow.f64 x 7))))) |
(+.f64 (*.f64 1/36 (pow.f64 x 5)) (+.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 -1/216 (pow.f64 x 7)))) |
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) (*.f64 -1/216 (pow.f64 x 7))))) |
(/.f64 6 x) |
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 (/.f64 1 x) 6) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7)))))) |
(+.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (-.f64 (*.f64 (/.f64 1 x) 6) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7)))))) |
(/.f64 6 x) |
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 (/.f64 1 x) 6) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7)))))) |
(+.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (-.f64 (*.f64 (/.f64 1 x) 6) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7)))))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) y)) |
(*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) (neg.f64 y)) |
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) y)) |
(*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) (neg.f64 y)) |
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) y)) |
(*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) (neg.f64 y)) |
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) y)) |
(*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) (neg.f64 y)) |
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(/.f64 y x) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 x y)) |
(+.f64 (*.f64 1/6 (*.f64 y x)) 0) |
(*.f64 1/6 (*.f64 x y)) |
(+.f64 0 (*.f64 1/6 (*.f64 y x))) |
(*.f64 1/6 (*.f64 x y)) |
(-.f64 (*.f64 1/6 (*.f64 y x)) 0) |
(*.f64 1/6 (*.f64 x y)) |
(/.f64 (*.f64 1/6 (*.f64 y x)) 1) |
(*.f64 1/6 (*.f64 x y)) |
(/.f64 (*.f64 x (*.f64 1/3 y)) 2) |
(*.f64 1/6 (*.f64 x y)) |
(/.f64 (*.f64 (*.f64 y x) 2/3) 4) |
(*.f64 1/6 (*.f64 x y)) |
(/.f64 (*.f64 2 (*.f64 (*.f64 y x) 2/3)) 8) |
(*.f64 1/6 (*.f64 x y)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 y x) 2/3)) (*.f64 2 (*.f64 (*.f64 y x) 2/3))) 16) |
(*.f64 1/6 (*.f64 x y)) |
(pow.f64 (*.f64 1/6 (*.f64 y x)) 1) |
(*.f64 1/6 (*.f64 x y)) |
(+.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 0) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(+.f64 0 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(+.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))))) |
(+.f64 (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x))))) |
(+.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x))))) |
(*.f64 2 (/.f64 y (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3))))) |
(-.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 0) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 y (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 y (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 y (*.f64 (*.f64 2 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) 1/2)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 y (*.f64 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 1 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (+.f64 y y) (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (+.f64 y y) (*.f64 (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2) 1)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (+.f64 y y) (*.f64 (*.f64 2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) 1/2)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 2 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))))) |
(+.f64 (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x))))) |
(+.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x))))) |
(*.f64 2 (/.f64 y (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3))))) |
(*.f64 2 (*.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) 1)) |
(+.f64 (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x))))) |
(+.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x))))) |
(*.f64 2 (/.f64 y (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3))))) |
(*.f64 2 (*.f64 (/.f64 y 2) (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 2 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 2 (*.f64 y (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 2 (*.f64 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) y)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (*.f64 y 4) (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)))) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (*.f64 y 4) (*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))) 1)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (*.f64 y 4) (*.f64 1/4 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (*.f64 y 4) (*.f64 1/2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))))) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 2) 1/2) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) y) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (neg.f64 y) (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) 1)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 -1 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 -1 (*.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) 1)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 1/2 (*.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 2)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (+.f64 y y)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2) (+.f64 y y)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (/.f64 y (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) 2) |
(+.f64 (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x))))) |
(+.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x)))) (/.f64 y (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x))))) |
(*.f64 2 (/.f64 y (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3))))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))) (*.f64 y 4)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (neg.f64 y)) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(pow.f64 (/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(neg.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(/.f64 (/.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y)) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 0) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(-.f64 0 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 y (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 y (*.f64 (*.f64 2 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) 1/2)) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 y y) (*.f64 1/2 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (*.f64 x 1/12))) |
(*.f64 2 (*.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 1/12)) y)) |
(*.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 (*.f64 1/6 x) 2))) |
(*.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (*.f64 x 1/12))) |
(*.f64 2 (*.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 1/12)) y)) |
(*.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))) 1/2) |
(*.f64 (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x))) 1/2) |
(*.f64 (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x))) 1/2) |
(*.f64 (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3))) 1/2) |
(*.f64 2 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2)) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2) 1)) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1/2)) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 2 (*.f64 (/.f64 y 2) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (*.f64 y 4) (*.f64 1/4 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)) 1/4) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 -1 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 1/2 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) |
(*.f64 (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x))) 1/2) |
(*.f64 (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x))) 1/2) |
(*.f64 (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3))) 1/2) |
(*.f64 1/2 (*.f64 (+.f64 y y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 1/4 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 2) 2) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(/.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(/.f64 1 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(/.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y))) 2) |
(*.f64 (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x))) 1/2) |
(*.f64 (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x))) 1/2) |
(*.f64 (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3))) 1/2) |
(/.f64 2 (*.f64 2 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(/.f64 2 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(/.f64 (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (*.f64 y 4)) 4) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(/.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) -1) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(/.f64 -1 (-.f64 0 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(/.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 8) 8) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(/.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) -2) -2) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(/.f64 1/2 (/.f64 1/2 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(/.f64 (neg.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 1/3 y)))) -2) |
(*.f64 (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x))) 1/2) |
(*.f64 (+.f64 (*.f64 y (*.f64 x 1/3)) (*.f64 y (/.f64 2 x))) 1/2) |
(*.f64 (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3))) 1/2) |
(/.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) (/.f64 1 y)) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 8)) 16) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(pow.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)) 1) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(neg.f64 (neg.f64 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x)))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6))) |
| ✓ | 0.2b | (/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6)))) |
| ✓ | 0.2b | (*.f64 y (*.f64 x 1/6)) |
| ✓ | 0.3b | (*.f64 x 1/6) |
Compiled 36 to 18 computations (50% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 x 1/6) |
| 0.0ms | x | @ | -inf | (*.f64 x 1/6) |
| 0.0ms | x | @ | inf | (*.f64 x 1/6) |
| 0.0ms | x | @ | inf | (/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6)))) |
| 0.0ms | x | @ | -inf | (/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6)))) |
| 1× | batch-egg-rewrite |
| 1916× | rational.json-1 |
| 1916× | rational.json-2 |
| 1916× | rational.json-4 |
| 1916× | rational.json-3 |
| 1902× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 76 |
| 1 | 72 | 76 |
| 2 | 191 | 76 |
| 3 | 508 | 76 |
| 4 | 1408 | 76 |
| 5 | 5077 | 76 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x 1/6) |
(*.f64 y (*.f64 x 1/6)) |
(/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6)))) |
(+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x 2/3)) (*.f64 2 (*.f64 x 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/6 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 1/6 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 y 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x y) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x y) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x y) 2/3)) (*.f64 2 (*.f64 (*.f64 x y) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 1/6 y)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 2) (/.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 2 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (*.f64 2 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (*.f64 2 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 y 2) (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (/.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 (/.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 1/4 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 1/2 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (*.f64 (/.f64 -1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 y (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 y (/.f64 2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (*.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 1/2 (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 (*.f64 x 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 y 1/3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 y 2) (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) (*.f64 1/4 (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 y 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 y y) (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 y 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 y 1/3)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))))))) |
| 1× | egg-herbie |
| 1974× | rational.json-simplify-35 |
| 1548× | rational.json-simplify-51 |
| 1332× | rational.json-simplify-53 |
| 1222× | rational.json-simplify-39 |
| 1106× | rational.json-simplify-2 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 4248 |
| 1 | 533 | 4198 |
| 2 | 1697 | 4198 |
| 3 | 3129 | 4198 |
| 4 | 6558 | 4182 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 1/6 (*.f64 y x)) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/216 (pow.f64 x 7)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x))) |
(/.f64 6 x) |
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 6 x) |
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
(*.f64 1/6 (*.f64 y x)) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
(*.f64 1/6 (*.f64 y x)) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
(+.f64 (*.f64 x 1/6) 0) |
(+.f64 0 (*.f64 x 1/6)) |
(-.f64 (*.f64 x 1/6) 0) |
(/.f64 (*.f64 x 1/6) 1) |
(/.f64 (*.f64 x 1/3) 2) |
(/.f64 (*.f64 x 2/3) 4) |
(/.f64 (*.f64 2 (*.f64 x 2/3)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 x 2/3)) (*.f64 2 (*.f64 x 2/3))) 16) |
(pow.f64 (*.f64 x 1/6) 1) |
(+.f64 (*.f64 x (*.f64 1/6 y)) 0) |
(+.f64 0 (*.f64 x (*.f64 1/6 y))) |
(-.f64 (*.f64 x (*.f64 1/6 y)) 0) |
(/.f64 (*.f64 x (*.f64 1/6 y)) 1) |
(/.f64 (*.f64 x (*.f64 y 1/3)) 2) |
(/.f64 (*.f64 (*.f64 x y) 2/3) 4) |
(/.f64 (*.f64 2 (*.f64 (*.f64 x y) 2/3)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x y) 2/3)) (*.f64 2 (*.f64 (*.f64 x y) 2/3))) 16) |
(pow.f64 (*.f64 x (*.f64 1/6 y)) 1) |
(+.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 0) |
(+.f64 0 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) |
(+.f64 (/.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 2) (/.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 2)) |
(-.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 0) |
(*.f64 y (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) |
(*.f64 y (*.f64 2 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))) |
(*.f64 y (*.f64 (*.f64 2 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) 1/2)) |
(*.f64 y (*.f64 (/.f64 2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2)) |
(*.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1) |
(*.f64 1 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) |
(*.f64 (+.f64 y y) (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) |
(*.f64 (+.f64 y y) (*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2)) |
(*.f64 (+.f64 y y) (*.f64 (*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2) 1)) |
(*.f64 (+.f64 y y) (*.f64 (*.f64 2 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) 1/2)) |
(*.f64 2 (/.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 2)) |
(*.f64 2 (*.f64 (/.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 2) 1)) |
(*.f64 2 (*.f64 (/.f64 y 2) (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))) |
(*.f64 2 (*.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2)) |
(*.f64 2 (*.f64 y (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))) |
(*.f64 2 (*.f64 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) y)) |
(*.f64 (*.f64 y 4) (/.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8))) |
(*.f64 (*.f64 y 4) (*.f64 (/.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8)) 1)) |
(*.f64 (*.f64 y 4) (*.f64 1/4 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))) |
(*.f64 (*.f64 y 4) (*.f64 1/2 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))) |
(*.f64 (*.f64 y (/.f64 2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) 1/2) |
(*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) y) |
(*.f64 (neg.f64 y) (/.f64 -1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 -1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1)) |
(*.f64 -1 (/.f64 y (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))) |
(*.f64 -1 (*.f64 (/.f64 y (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) 1)) |
(*.f64 1/2 (*.f64 y (/.f64 2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))) |
(*.f64 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) (+.f64 y y)) |
(*.f64 (*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1/2) (+.f64 y y)) |
(*.f64 (/.f64 y (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) -1) |
(*.f64 (/.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 2) 2) |
(*.f64 (/.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8)) (*.f64 y 4)) |
(*.f64 (/.f64 -1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) (neg.f64 y)) |
(pow.f64 (/.f64 y (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) 1) |
(neg.f64 (/.f64 y (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))) |
(-.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 0) |
(-.f64 0 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) |
(*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) |
(*.f64 y (*.f64 (*.f64 2 (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1/2)) |
(*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1) |
(*.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) |
(*.f64 (+.f64 y y) (*.f64 1/2 (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) |
(*.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (*.f64 x 1/12))) |
(*.f64 (+.f64 y y) (+.f64 (/.f64 1/2 x) (/.f64 (*.f64 x 1/6) 2))) |
(*.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 y 1/3))) 1/2) |
(*.f64 2 (/.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 2)) |
(*.f64 2 (*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 2) 1)) |
(*.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1/2)) |
(*.f64 2 (*.f64 (/.f64 y 2) (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) |
(*.f64 (*.f64 y 4) (*.f64 1/4 (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) |
(*.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 4) 1/4) |
(*.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) -1) |
(*.f64 -1 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) |
(*.f64 1/2 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 y 1/3)))) |
(*.f64 1/2 (*.f64 (+.f64 y y) (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) |
(*.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) y) |
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 2) 2) |
(*.f64 1/4 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 4)) |
(/.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1) |
(/.f64 1 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) |
(/.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 y 1/3))) 2) |
(/.f64 2 (*.f64 2 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))) |
(/.f64 2 (/.f64 2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) |
(/.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 4) 4) |
(/.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) -1) |
(/.f64 -1 (-.f64 0 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))) |
(/.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8) 8) |
(/.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) -2) -2) |
(/.f64 1/2 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 y 1/3)))) -2) |
(/.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) (/.f64 1 y)) |
(/.f64 (*.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8)) 16) |
(pow.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1) |
(neg.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) |
| Outputs |
|---|
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(*.f64 1/6 (*.f64 y x)) |
(*.f64 x (*.f64 1/6 y)) |
(*.f64 1/6 (*.f64 x y)) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(/.f64 -1 (-.f64 (*.f64 -1/6 x) (/.f64 1 x))) |
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 x (*.f64 -1/6 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/36 (pow.f64 x 5)))) |
(+.f64 x (+.f64 (*.f64 1/36 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/36 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/216 (pow.f64 x 7)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) (+.f64 x (*.f64 -1/216 (pow.f64 x 7))))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (*.f64 -1/216 (pow.f64 x 7)) (*.f64 1/36 (pow.f64 x 5))))) |
(+.f64 (+.f64 x (*.f64 -1/216 (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/36 (pow.f64 x 5)))) |
(/.f64 6 x) |
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) |
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 (/.f64 1 x) 6) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7)))))) |
(/.f64 6 x) |
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (-.f64 (*.f64 (/.f64 1 x) 6) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) |
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 (/.f64 1 x) 6) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (*.f64 (/.f64 1 x) 6) (-.f64 (*.f64 216 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 x 3))) (*.f64 1296 (/.f64 1 (pow.f64 x 7)))))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) y) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(*.f64 y (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) -1)) |
(*.f64 y (neg.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))) |
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(*.f64 y (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) -1)) |
(*.f64 y (neg.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))) |
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(*.f64 y (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) -1)) |
(*.f64 y (neg.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))) |
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/6 x) (/.f64 1 x)))) |
(*.f64 y (*.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)) -1)) |
(*.f64 y (neg.f64 (-.f64 (*.f64 x -1/6) (/.f64 1 x)))) |
(*.f64 y (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
(+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y))) |
(+.f64 (*.f64 1/6 (*.f64 x y)) (/.f64 y x)) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
(+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y))) |
(+.f64 (*.f64 1/6 (*.f64 x y)) (/.f64 y x)) |
(+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x))) |
(+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y))) |
(+.f64 (*.f64 1/6 (*.f64 x y)) (/.f64 y x)) |
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(/.f64 (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3))) 2) |
(/.f64 2 (*.f64 2 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 2 (/.f64 2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 4) 4) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) -1) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 -1 (-.f64 0 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))))) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8) 8) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) -2) -2) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 1/2 (/.f64 1/2 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 (neg.f64 (+.f64 (*.f64 y (/.f64 2 x)) (*.f64 x (*.f64 y 1/3)))) -2) |
(/.f64 (+.f64 (*.f64 x (*.f64 y 1/3)) (*.f64 y (/.f64 2 x))) 2) |
(/.f64 (*.f64 y (+.f64 (/.f64 2 x) (*.f64 x 1/3))) 2) |
(/.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) (/.f64 1 y)) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 (*.f64 2 (*.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 8)) 16) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(pow.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))) 1) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(neg.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x))))) |
(*.f64 y (+.f64 (/.f64 1 x) (*.f64 1/6 x))) |
Compiled 10716 to 6214 computations (42% saved)
21 alts after pruning (12 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 748 | 10 | 758 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 8 | 10 |
| Total | 752 | 21 | 773 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) |
| 28.9b | (/.f64 y (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) (/.f64 1 y))) | |
| ✓ | 0.4b | (/.f64 y (/.f64 y (sin.f64 x))) |
| 29.0b | (/.f64 y (/.f64 2 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) | |
| ✓ | 28.8b | (/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6)))) |
| 28.8b | (/.f64 y (+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y)))) | |
| ✓ | 28.8b | (/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))) |
| 62.0b | (/.f64 y (*.f64 1/6 (*.f64 y x))) | |
| 61.6b | (/.f64 6 x) | |
| ✓ | 29.3b | (/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y))) |
| 28.8b | (/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6))) | |
| ✓ | 0.5b | (/.f64 -1 (/.f64 -1 (sin.f64 x))) |
| 28.9b | (*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) y) | |
| 47.1b | (*.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y)) | |
| 28.9b | (*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) y) | |
| 45.8b | (*.f64 (/.f64 1 y) (*.f64 y x)) | |
| 28.9b | (*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (neg.f64 y)) | |
| ✓ | 0.3b | (*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x)))) |
| ✓ | 28.8b | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| ✓ | 0.3b | (sin.f64 x) |
| 29.1b | x |
Compiled 225 to 159 computations (29.3% saved)
| Inputs |
|---|
x |
(/.f64 6 x) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 y (/.f64 y x)) |
(*.f64 (/.f64 1 y) (*.f64 y x)) |
(/.f64 1 (/.f64 (/.f64 y x) y)) |
(/.f64 y (*.f64 1/6 (*.f64 y x))) |
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x))) |
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y)) |
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))) |
(/.f64 y (+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y)))) |
(/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6)))) |
(*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) y) |
(*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) y) |
(/.f64 y (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) (/.f64 1 y))) |
(*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (neg.f64 y)) |
(/.f64 y (/.f64 2 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) |
(sin.f64 x) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(/.f64 -1 (/.f64 -1 (sin.f64 x))) |
(/.f64 y (/.f64 y (sin.f64 x))) |
(/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) |
(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (sin.f64 x)))) |
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 1 (sin.f64 x))) |
(/.f64 -1 (/.f64 (/.f64 y (neg.f64 (sinh.f64 y))) (sin.f64 x))) |
(/.f64 -1 (/.f64 (/.f64 y (sin.f64 x)) (neg.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 17.0ms | y |
| 14.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 14.0ms | (sin.f64 x) |
| 14.0ms | x |
| 6.0ms | (/.f64 (sinh.f64 y) y) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 0.0b | 1 | (sin.f64 x) |
| 0.0b | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 283 to 153 computations (45.9% saved)
| Inputs |
|---|
x |
(/.f64 6 x) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 y (/.f64 y x)) |
(*.f64 (/.f64 1 y) (*.f64 y x)) |
(/.f64 1 (/.f64 (/.f64 y x) y)) |
(/.f64 y (*.f64 1/6 (*.f64 y x))) |
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x))) |
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y)) |
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))) |
(/.f64 y (+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y)))) |
(/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6)))) |
(*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) y) |
(*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) y) |
(/.f64 y (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) (/.f64 1 y))) |
(*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (neg.f64 y)) |
(/.f64 y (/.f64 2 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) |
(sin.f64 x) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(/.f64 -1 (/.f64 -1 (sin.f64 x))) |
(/.f64 y (/.f64 y (sin.f64 x))) |
(/.f64 1 (/.f64 (/.f64 y x) (sinh.f64 y))) |
| Outputs |
|---|
(sin.f64 x) |
4 calls:
| 11.0ms | y |
| 11.0ms | (sin.f64 x) |
| 10.0ms | x |
| 3.0ms | (/.f64 (sinh.f64 y) y) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | y |
| 0.3b | 1 | (sin.f64 x) |
| 0.3b | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 211 to 125 computations (40.8% saved)
| Inputs |
|---|
x |
(/.f64 6 x) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 y (/.f64 y x)) |
(*.f64 (/.f64 1 y) (*.f64 y x)) |
(/.f64 1 (/.f64 (/.f64 y x) y)) |
(/.f64 y (*.f64 1/6 (*.f64 y x))) |
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x))) |
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y)) |
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))) |
(/.f64 y (+.f64 (/.f64 y x) (*.f64 x (*.f64 1/6 y)))) |
(/.f64 y (+.f64 (/.f64 y x) (*.f64 y (*.f64 x 1/6)))) |
(*.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) y) |
(*.f64 (/.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))) y) |
(/.f64 y (/.f64 (+.f64 (*.f64 x 1/6) (/.f64 1 x)) (/.f64 1 y))) |
(*.f64 (/.f64 -1 (+.f64 (*.f64 1/6 (*.f64 y x)) (/.f64 y x))) (neg.f64 y)) |
(/.f64 y (/.f64 2 (/.f64 (/.f64 2 y) (+.f64 (*.f64 1/6 x) (/.f64 1 x))))) |
| Outputs |
|---|
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))) |
2 calls:
| 9.0ms | y |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 28.8b | 1 | x |
| 28.8b | 1 | y |
Compiled 173 to 105 computations (39.3% saved)
| Inputs |
|---|
x |
(/.f64 6 x) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 y (/.f64 y x)) |
(*.f64 (/.f64 1 y) (*.f64 y x)) |
(/.f64 1 (/.f64 (/.f64 y x) y)) |
(/.f64 y (*.f64 1/6 (*.f64 y x))) |
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x))) |
(/.f64 1 (-.f64 (/.f64 1 x) (*.f64 x -1/6))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 x) y)) (/.f64 1 y)) |
| Outputs |
|---|
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x))) |
2 calls:
| 6.0ms | x |
| 6.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 28.8b | 1 | x |
| 28.8b | 1 | y |
Compiled 72 to 46 computations (36.1% saved)
Total -33.4b remaining (-114.9%)
Threshold costs -33.4b (-114.9%)
| Inputs |
|---|
x |
(/.f64 6 x) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 y (/.f64 y x)) |
(*.f64 (/.f64 1 y) (*.f64 y x)) |
(/.f64 1 (/.f64 (/.f64 y x) y)) |
(/.f64 y (*.f64 1/6 (*.f64 y x))) |
| Outputs |
|---|
x |
2 calls:
| 5.0ms | x |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 29.1b | 1 | x |
| 29.1b | 1 | y |
Compiled 43 to 24 computations (44.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 83 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(sin.f64 x) |
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))) |
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x))) |
x |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(sin.f64 x) |
(/.f64 y (+.f64 (/.f64 y x) (*.f64 1/6 (*.f64 y x)))) |
(/.f64 -1 (-.f64 (*.f64 x -1/6) (/.f64 1 x))) |
x |
Compiled 40 to 28 computations (30% saved)
Compiled 32 to 19 computations (40.6% saved)
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