Time bar (total: 6.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 10 to 8 computations (20% saved)
| 2.7s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 1460× | rational.json-simplify-2 |
| 1160× | rational.json-simplify-44 |
| 1120× | rational.json-simplify-59 |
| 1090× | rational.json-simplify-47 |
| 786× | rational.json-simplify-61 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 22 | 25 |
| 2 | 38 | 25 |
| 3 | 61 | 25 |
| 4 | 123 | 25 |
| 5 | 316 | 25 |
| 6 | 426 | 25 |
| 7 | 477 | 25 |
| 8 | 775 | 25 |
| 9 | 5194 | 25 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 1460× | rational.json-simplify-2 |
| 1160× | rational.json-simplify-44 |
| 1120× | rational.json-simplify-59 |
| 1090× | rational.json-simplify-47 |
| 786× | rational.json-simplify-61 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 22 | 25 |
| 2 | 38 | 25 |
| 3 | 61 | 25 |
| 4 | 123 | 25 |
| 5 | 316 | 25 |
| 6 | 426 | 25 |
| 7 | 477 | 25 |
| 8 | 775 | 25 |
| 9 | 5194 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 9 to 7 computations (22.2% 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 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 9 to 7 computations (22.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
Compiled 24 to 8 computations (66.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0.0ms | x | @ | inf | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0.0ms | x | @ | 0 | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1774× | rational.json-1 |
| 1774× | rational.json-2 |
| 1774× | rational.json-3 |
| 1028× | rational.json-simplify-35 |
| 920× | rational.json-simplify-61 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 72 | 25 |
| 2 | 180 | 25 |
| 3 | 424 | 25 |
| 4 | 926 | 25 |
| 5 | 2624 | 25 |
| 6 | 6878 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 8 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) |
| 1× | egg-herbie |
| 1596× | rational.json-simplify-35 |
| 1242× | rational.json-simplify-39 |
| 1220× | rational.json-simplify-59 |
| 1040× | rational.json-simplify-53 |
| 838× | rational.json-simplify-51 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 1394 |
| 1 | 153 | 1394 |
| 2 | 345 | 1346 |
| 3 | 1254 | 1346 |
| 4 | 2832 | 1346 |
| 5 | 5909 | 1346 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(+.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0) |
(+.f64 0 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(+.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(-.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0) |
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1) |
(*.f64 1 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 4 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4)) |
(*.f64 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)))) |
(*.f64 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/2) |
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)))) |
(*.f64 (*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 1/4) |
(*.f64 1/2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2) |
(*.f64 1/4 (*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4)) |
(*.f64 1/4 (/.f64 8 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4)))) |
(*.f64 (/.f64 8 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/4) |
(*.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4)) |
(*.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)) |
(*.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 4) |
(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1) |
(neg.f64 (/.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (*.f64 5/24 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4))))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 5/24 (pow.f64 x 4)) (*.f64 -61/720 (pow.f64 x 6))))) |
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4))) (*.f64 -61/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -61/720 (pow.f64 x 6)) (+.f64 1 (*.f64 5/24 (pow.f64 x 4))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+.f64 0 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(-.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 1 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 4 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4)) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/2) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 1/4) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 1/2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 1/4 (*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4)) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 1/4 (/.f64 8 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (/.f64 8 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/4) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1/4)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 2 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 4) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(neg.f64 (/.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
Compiled 618 to 267 computations (56.8% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 2 | 40 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 38 | 3 | 41 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ▶ | 29.2b | (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| 28.6b | 1 |
Compiled 19 to 16 computations (15.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 -1/2 (pow.f64 x 2)) |
Compiled 20 to 16 computations (20% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 -1/2 (pow.f64 x 2)) |
| 0.0ms | x | @ | inf | (*.f64 -1/2 (pow.f64 x 2)) |
| 0.0ms | x | @ | -inf | (*.f64 -1/2 (pow.f64 x 2)) |
| 1× | batch-egg-rewrite |
| 1992× | rational.json-simplify-2 |
| 1632× | rational.json-simplify-35 |
| 1580× | rational.json-simplify-1 |
| 1152× | exponential.json-3 |
| 1152× | rational.json-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 45 | 13 |
| 2 | 95 | 13 |
| 3 | 179 | 13 |
| 4 | 318 | 13 |
| 5 | 682 | 13 |
| 6 | 1650 | 13 |
| 7 | 2848 | 13 |
| 8 | 3555 | 13 |
| 9 | 4343 | 13 |
| 10 | 5393 | 13 |
| 11 | 6046 | 13 |
| 12 | 6203 | 13 |
| 13 | 6453 | 13 |
| 14 | 7311 | 13 |
| 15 | 7560 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 8) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) -256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) -512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))))) |
| 1× | egg-herbie |
| 2928× | rational.json-simplify-45 |
| 1802× | rational.json-simplify-2 |
| 1792× | rational.json-simplify-35 |
| 956× | rational.json-simplify-1 |
| 724× | rational.json-simplify-49 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 611 |
| 1 | 290 | 611 |
| 2 | 533 | 611 |
| 3 | 1300 | 611 |
| 4 | 2911 | 611 |
| 5 | 3687 | 611 |
| 6 | 4231 | 611 |
| 7 | 5259 | 611 |
| 8 | 5552 | 611 |
| 9 | 5849 | 611 |
| 10 | 5971 | 611 |
| 11 | 6120 | 611 |
| 12 | 6245 | 611 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0) |
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))) |
(+.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 2) -1/4)) |
(+.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))) |
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1) |
(+.f64 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -2) |
(+.f64 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) -1) |
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0) |
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2)) |
(-.f64 0 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) |
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
(-.f64 -1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) |
(-.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1) |
(/.f64 (pow.f64 x 2) -2) |
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) |
(/.f64 (*.f64 2 (pow.f64 x 2)) -4) |
(/.f64 (neg.f64 (pow.f64 x 2)) 2) |
(/.f64 (*.f64 (pow.f64 x 2) 4) -8) |
(/.f64 (*.f64 (pow.f64 x 2) -2) 4) |
(/.f64 (*.f64 (pow.f64 x 2) -4) 8) |
(/.f64 (*.f64 (pow.f64 x 2) 8) -16) |
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -32) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -4)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -64) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) 8)) 16) |
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 32) |
(/.f64 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8))) 32) |
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -128) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))))) 128) |
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) 128) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) -256) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4)))))) 256) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) -512) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8))))) 128) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) 256) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))))))) 512) |
(/.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) -1) |
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) |
(neg.f64 (*.f64 (pow.f64 x 2) 1/2)) |
(neg.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) |
| Outputs |
|---|
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 2) -1/4)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -2) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0) |
(*.f64 -1/2 (pow.f64 x 2)) |
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(-.f64 0 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(-.f64 -1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(-.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (pow.f64 x 2) -2) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (pow.f64 x 2)) -4) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (neg.f64 (pow.f64 x 2)) 2) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 (pow.f64 x 2) 4) -8) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 (pow.f64 x 2) -2) 4) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 (pow.f64 x 2) -4) 8) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 (pow.f64 x 2) 8) -16) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -32) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -4)) 16) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))) 32) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -64) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) 8)) 16) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 32) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8))) 32) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 64) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -128) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4)))) 64) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))))) 128) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8)))) 64) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) 128) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) -256) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4)))))) 256) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) -512) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8))))) 128) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))))) 256) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))))))) 512) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(neg.f64 (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(neg.f64 (+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) |
(*.f64 -1/2 (pow.f64 x 2)) |
Compiled 584 to 535 computations (8.4% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 47 | 1 | 48 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 47 | 4 | 51 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ▶ | 29.2b | (+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) |
| ✓ | 29.2b | (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| 28.6b | 1 |
Compiled 31 to 27 computations (12.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (pow.f64 x 2) 1/2) |
| ✓ | 1.8b | (-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
Compiled 40 to 34 computations (15% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 x 2) 1/2) |
| 0.0ms | x | @ | 0 | (-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
| 0.0ms | x | @ | -inf | (-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
| 0.0ms | x | @ | -inf | (*.f64 (pow.f64 x 2) 1/2) |
| 1× | batch-egg-rewrite |
| 1276× | exponential.json-3 |
| 1276× | rational.json-1 |
| 1276× | rational.json-2 |
| 1276× | rational.json-4 |
| 1276× | rational.json-3 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 75 | 38 |
| 2 | 159 | 30 |
| 3 | 294 | 30 |
| 4 | 519 | 26 |
| 5 | 1170 | 26 |
| 6 | 2776 | 26 |
| 7 | 4348 | 26 |
| 8 | 6293 | 26 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
(*.f64 (pow.f64 x 2) 1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 -1 (*.f64 (pow.f64 x 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 x 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 2)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 x 2) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (/.f64 (pow.f64 x 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (*.f64 1/2 (*.f64 (pow.f64 x 2) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (*.f64 (pow.f64 x 2) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (/.f64 (pow.f64 x 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (*.f64 1/2 (*.f64 (pow.f64 x 2) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (*.f64 (pow.f64 x 2) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 4) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 (pow.f64 x 2) -16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 8) -1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) -4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 x 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (pow.f64 x 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (*.f64 (pow.f64 x 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (pow.f64 x 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/8) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) -8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/8 (*.f64 (pow.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 (pow.f64 x 2) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/16 (*.f64 (pow.f64 x 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) -16) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 8) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -8)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 2) 1/2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (*.f64 (pow.f64 x 2) 1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) (+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 2 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) -1) (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/8) (-.f64 (/.f64 (pow.f64 x 2) -8) (*.f64 (pow.f64 x 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 2) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 2) -1/2)))))) |
| 1× | egg-herbie |
| 1740× | rational.json-simplify-42 |
| 1584× | rational.json-simplify-2 |
| 1514× | rational.json-simplify-35 |
| 1442× | rational.json-simplify-45 |
| 968× | rational.json-simplify-1 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 1658 |
| 1 | 339 | 1658 |
| 2 | 1003 | 1610 |
| 3 | 3276 | 1610 |
| 4 | 5008 | 1610 |
| 5 | 5894 | 1610 |
| 6 | 6126 | 1610 |
| 7 | 6263 | 1610 |
| 8 | 6374 | 1610 |
| 9 | 6483 | 1610 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 (pow.f64 x 2) -1/2) 0) |
(+.f64 0 (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1) |
(+.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 2) -1/4)) |
(+.f64 -2 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2))) |
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 -1 (*.f64 (pow.f64 x 2) 1/4))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)) -2) |
(+.f64 (-.f64 -1 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4))) |
(*.f64 1 (*.f64 (pow.f64 x 2) -1/2)) |
(*.f64 2 (*.f64 (pow.f64 x 2) -1/4)) |
(*.f64 (pow.f64 x 2) -1/2) |
(*.f64 1/2 (neg.f64 (pow.f64 x 2))) |
(*.f64 (*.f64 (pow.f64 x 2) 1/2) -1) |
(*.f64 (*.f64 (pow.f64 x 2) -1/2) 1) |
(*.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 (*.f64 2 (pow.f64 x 2)) -1/4) |
(*.f64 (neg.f64 (pow.f64 x 2)) 1/2) |
(*.f64 4 (/.f64 (pow.f64 x 2) -8)) |
(*.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (/.f64 (pow.f64 x 2) 16))) |
(*.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (*.f64 1/2 (*.f64 (pow.f64 x 2) 1/8)))) |
(*.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (*.f64 (pow.f64 x 2) 1/16))) |
(*.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (/.f64 (pow.f64 x 2) 16))) |
(*.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (*.f64 1/2 (*.f64 (pow.f64 x 2) 1/8)))) |
(*.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (*.f64 (pow.f64 x 2) 1/16))) |
(*.f64 (*.f64 (pow.f64 x 2) 4) -1/8) |
(*.f64 8 (/.f64 (pow.f64 x 2) -16)) |
(*.f64 (*.f64 (pow.f64 x 2) 8) -1/16) |
(*.f64 (*.f64 (pow.f64 x 2) -4) 1/8) |
(*.f64 1/4 (*.f64 (pow.f64 x 2) -2)) |
(*.f64 (*.f64 (pow.f64 x 2) 1/4) -2) |
(*.f64 (*.f64 (pow.f64 x 2) -1/4) 2) |
(*.f64 -2 (*.f64 (pow.f64 x 2) 1/4)) |
(*.f64 (*.f64 (pow.f64 x 2) -2) 1/4) |
(*.f64 -4 (*.f64 (pow.f64 x 2) 1/8)) |
(*.f64 1/8 (*.f64 (pow.f64 x 2) -4)) |
(*.f64 (*.f64 (pow.f64 x 2) 1/8) -4) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (/.f64 (pow.f64 x 2) -8) 4) |
(*.f64 -1/4 (*.f64 2 (pow.f64 x 2))) |
(*.f64 -1/8 (*.f64 (pow.f64 x 2) 4)) |
(*.f64 1/16 (*.f64 (pow.f64 x 2) -8)) |
(*.f64 -1/16 (*.f64 (pow.f64 x 2) 8)) |
(*.f64 (/.f64 (pow.f64 x 2) -16) 8) |
(/.f64 (pow.f64 x 2) -2) |
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1) |
(/.f64 (*.f64 (pow.f64 x 2) -1/2) 1) |
(/.f64 (*.f64 2 (pow.f64 x 2)) -4) |
(/.f64 (neg.f64 (pow.f64 x 2)) 2) |
(/.f64 (*.f64 (pow.f64 x 2) 4) -8) |
(/.f64 (*.f64 (pow.f64 x 2) 8) -16) |
(/.f64 (*.f64 (pow.f64 x 2) -4) 8) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -32) |
(/.f64 (*.f64 (pow.f64 x 2) -8) 16) |
(/.f64 (*.f64 (pow.f64 x 2) -2) 4) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -8)) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -128) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8)))) 128) |
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1) |
(neg.f64 (*.f64 (pow.f64 x 2) 1/2)) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1)) |
(+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)) |
(+.f64 (*.f64 (pow.f64 x 2) 1/2) 0) |
(+.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1) |
(+.f64 0 (*.f64 (pow.f64 x 2) 1/2)) |
(+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) 1) |
(+.f64 (+.f64 2 (*.f64 (pow.f64 x 2) 1/2)) -2) |
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) 2) |
(+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) (+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) -1)) |
(+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)) |
(+.f64 -2 (+.f64 2 (*.f64 (pow.f64 x 2) 1/2))) |
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 3) -3) |
(+.f64 3 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -3)) |
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -3) 3) |
(+.f64 -3 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 3)) |
(+.f64 (+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) -1) (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4)) |
(-.f64 1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
(-.f64 (*.f64 (pow.f64 x 2) 1/2) 0) |
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1) |
(-.f64 0 (*.f64 (pow.f64 x 2) -1/2)) |
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) -1) |
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -2) |
(-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) -1/4)) |
(-.f64 (*.f64 (pow.f64 x 2) 1/8) (-.f64 (/.f64 (pow.f64 x 2) -8) (*.f64 (pow.f64 x 2) 1/4))) |
(/.f64 (pow.f64 x 2) 2) |
(/.f64 (*.f64 (pow.f64 x 2) 1/2) 1) |
(/.f64 (*.f64 (pow.f64 x 2) -1/2) -1) |
(/.f64 (*.f64 2 (pow.f64 x 2)) 4) |
(/.f64 (*.f64 (pow.f64 x 2) 4) 8) |
(/.f64 (*.f64 (pow.f64 x 2) 8) 16) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 128) |
(pow.f64 (*.f64 (pow.f64 x 2) 1/2) 1) |
(neg.f64 (*.f64 (pow.f64 x 2) -1/2)) |
| Outputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(*.f64 1/2 (pow.f64 x 2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 (*.f64 (pow.f64 x 2) -1/2) 0) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 0 (*.f64 (pow.f64 x 2) -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 2) -1/4)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 -2 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 -1 (*.f64 (pow.f64 x 2) 1/4))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)) -2) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (-.f64 -1 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 1 (*.f64 (pow.f64 x 2) -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 (pow.f64 x 2) -1/4)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (pow.f64 x 2) -1/2) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 1/2 (neg.f64 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (*.f64 (pow.f64 x 2) 1/2) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (*.f64 (pow.f64 x 2) -1/2) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1 (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (*.f64 2 (pow.f64 x 2)) -1/4) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (neg.f64 (pow.f64 x 2)) 1/2) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 4 (/.f64 (pow.f64 x 2) -8)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (/.f64 (pow.f64 x 2) 16))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (*.f64 1/2 (*.f64 (pow.f64 x 2) 1/8)))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (*.f64 (pow.f64 x 2) 1/16))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 4 (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) -8)) (/.f64 (pow.f64 x 2) 16))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (*.f64 1/2 (*.f64 (pow.f64 x 2) 1/8)))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 4 (-.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 16) (*.f64 (pow.f64 x 2) 1/16))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (*.f64 (pow.f64 x 2) 4) -1/8) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 8 (/.f64 (pow.f64 x 2) -16)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (*.f64 (pow.f64 x 2) 8) -1/16) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (*.f64 (pow.f64 x 2) -4) 1/8) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 (pow.f64 x 2) -2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (*.f64 (pow.f64 x 2) 1/4) -2) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (*.f64 (pow.f64 x 2) -1/4) 2) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -2 (*.f64 (pow.f64 x 2) 1/4)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (*.f64 (pow.f64 x 2) -2) 1/4) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -4 (*.f64 (pow.f64 x 2) 1/8)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 1/8 (*.f64 (pow.f64 x 2) -4)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (*.f64 (pow.f64 x 2) 1/8) -4) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (/.f64 (pow.f64 x 2) -8) 4) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/4 (*.f64 2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 (pow.f64 x 2) 4)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 1/16 (*.f64 (pow.f64 x 2) -8)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/16 (*.f64 (pow.f64 x 2) 8)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 (/.f64 (pow.f64 x 2) -16) 8) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (pow.f64 x 2) -2) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 (pow.f64 x 2) -1/2) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (pow.f64 x 2)) -4) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (neg.f64 (pow.f64 x 2)) 2) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 (pow.f64 x 2) 4) -8) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 (pow.f64 x 2) 8) -16) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 (pow.f64 x 2) -4) 8) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -32) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 (pow.f64 x 2) -8) 16) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 (pow.f64 x 2) -2) 4) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -8)) 32) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -64) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8))) 64) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -128) |
(*.f64 -1/2 (pow.f64 x 2)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -8)))) 128) |
(*.f64 -1/2 (pow.f64 x 2)) |
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(neg.f64 (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1)) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 (*.f64 (pow.f64 x 2) 1/2) 0) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 0 (*.f64 (pow.f64 x 2) 1/2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 -1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) 1) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 (+.f64 2 (*.f64 (pow.f64 x 2) 1/2)) -2) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) 2) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) (+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) -1)) |
(+.f64 (*.f64 1/4 (+.f64 2 (pow.f64 x 2))) (+.f64 -1 (*.f64 1/4 (+.f64 2 (pow.f64 x 2))))) |
(+.f64 -1 (+.f64 (*.f64 1/4 (+.f64 2 (pow.f64 x 2))) (*.f64 1/4 (+.f64 2 (pow.f64 x 2))))) |
(+.f64 -1 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/2)) |
(+.f64 -1 (*.f64 1/2 (+.f64 2 (pow.f64 x 2)))) |
(+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4)) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 -2 (+.f64 2 (*.f64 (pow.f64 x 2) 1/2))) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 3) -3) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 3 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -3)) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -3) 3) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 -3 (+.f64 (*.f64 (pow.f64 x 2) 1/2) 3)) |
(*.f64 (pow.f64 x 2) 1/2) |
(+.f64 (+.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) -1) (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4)) |
(+.f64 (*.f64 1/4 (+.f64 2 (pow.f64 x 2))) (+.f64 -1 (*.f64 1/4 (+.f64 2 (pow.f64 x 2))))) |
(+.f64 -1 (+.f64 (*.f64 1/4 (+.f64 2 (pow.f64 x 2))) (*.f64 1/4 (+.f64 2 (pow.f64 x 2))))) |
(+.f64 -1 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/2)) |
(+.f64 -1 (*.f64 1/2 (+.f64 2 (pow.f64 x 2)))) |
(-.f64 1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2))) |
(*.f64 (pow.f64 x 2) 1/2) |
(-.f64 (*.f64 (pow.f64 x 2) 1/2) 0) |
(*.f64 (pow.f64 x 2) 1/2) |
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1) |
(*.f64 (pow.f64 x 2) 1/2) |
(-.f64 0 (*.f64 (pow.f64 x 2) -1/2)) |
(*.f64 (pow.f64 x 2) 1/2) |
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -1) -1) |
(*.f64 (pow.f64 x 2) 1/2) |
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) -2) -2) |
(*.f64 (pow.f64 x 2) 1/2) |
(-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) -1/4)) |
(*.f64 (pow.f64 x 2) 1/2) |
(-.f64 (*.f64 (pow.f64 x 2) 1/8) (-.f64 (/.f64 (pow.f64 x 2) -8) (*.f64 (pow.f64 x 2) 1/4))) |
(*.f64 (pow.f64 x 2) 1/2) |
(/.f64 (pow.f64 x 2) 2) |
(*.f64 (pow.f64 x 2) 1/2) |
(/.f64 (*.f64 (pow.f64 x 2) 1/2) 1) |
(*.f64 (pow.f64 x 2) 1/2) |
(/.f64 (*.f64 (pow.f64 x 2) -1/2) -1) |
(*.f64 (pow.f64 x 2) 1/2) |
(/.f64 (*.f64 2 (pow.f64 x 2)) 4) |
(*.f64 (pow.f64 x 2) 1/2) |
(/.f64 (*.f64 (pow.f64 x 2) 4) 8) |
(*.f64 (pow.f64 x 2) 1/2) |
(/.f64 (*.f64 (pow.f64 x 2) 8) 16) |
(*.f64 (pow.f64 x 2) 1/2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) 32) |
(*.f64 (pow.f64 x 2) 1/2) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 64) |
(*.f64 (pow.f64 x 2) 1/2) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 128) |
(*.f64 (pow.f64 x 2) 1/2) |
(pow.f64 (*.f64 (pow.f64 x 2) 1/2) 1) |
(*.f64 (pow.f64 x 2) 1/2) |
(neg.f64 (*.f64 (pow.f64 x 2) -1/2)) |
(*.f64 (pow.f64 x 2) 1/2) |
Compiled 1305 to 1183 computations (9.3% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 104 | 0 | 104 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 104 | 4 | 108 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | 29.2b | (+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) |
| ✓ | 29.2b | (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| 28.6b | 1 |
Compiled 31 to 27 computations (12.9% saved)
Compiled 1 to 1 computations (0% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| ✓ | 29.2b | (+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) |
| ✓ | 29.2b | (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| 28.6b | 1 |
Compiled 31 to 27 computations (12.9% saved)
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) |
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
3 calls:
| 101.0ms | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 4.0ms | x |
| 2.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 0.0b | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 46 to 37 computations (19.6% saved)
Total -0.6b remaining (-2.2%)
Threshold costs -0.6b (-2.2%)
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))) |
| Outputs |
|---|
1 |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 28.6b | 1 | x |
Compiled 22 to 19 computations (13.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
1 |
| Outputs |
|---|
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
1 |
Compiled 11 to 9 computations (18.2% saved)
Compiled 10 to 8 computations (20% saved)
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