Time bar (total: 7.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 1 |
Compiled 6 to 4 computations (33.3% saved)
| 774.0ms | 8256× | body | 256 | valid |
| 2× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 5 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(acosh.f64 x) |
| Outputs |
|---|
(acosh.f64 x) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 1814× | rational.json-simplify-35 |
| 1350× | rational.json-simplify-53 |
| 1016× | rational.json-simplify-39 |
| 864× | rational.json-simplify-59 |
| 750× | rational.json-simplify-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 14 | 27 |
| 2 | 19 | 27 |
| 3 | 37 | 27 |
| 4 | 185 | 27 |
| 5 | 1957 | 27 |
| 6 | 5904 | 27 |
| 7 | 7843 | 27 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) |
Compiled 19 to 12 computations (36.8% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.5b | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
Compiled 10 to 7 computations (30% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))) |
| ✓ | 0.2b | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| ✓ | 27.5b | (sqrt.f64 (-.f64 (*.f64 x x) 1)) |
Compiled 34 to 17 computations (50% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| 1.0ms | x | @ | -inf | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (-.f64 (*.f64 x x) 1)) |
| 0.0ms | x | @ | inf | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (-.f64 (*.f64 x x) 1)) |
| 1× | batch-egg-rewrite |
| 1424× | rational.json-1 |
| 1424× | rational.json-2 |
| 1424× | rational.json-3 |
| 1422× | rational.json-4 |
| 1416× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 67 |
| 1 | 75 | 67 |
| 2 | 167 | 67 |
| 3 | 361 | 67 |
| 4 | 1254 | 67 |
| 5 | 4677 | 67 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 x x) 1)) |
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4)) (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4)) (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1))))) |
| 1× | egg-herbie |
| 1108× | rational.json-simplify-1 |
| 940× | rational.json-simplify-19 |
| 818× | rational.json-simplify-2 |
| 712× | rational.json-simplify-35 |
| 678× | rational.json-simplify-41 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 2612 |
| 1 | 386 | 2596 |
| 2 | 716 | 2596 |
| 3 | 1643 | 2596 |
| 4 | 3457 | 2596 |
| 5 | 5766 | 2596 |
| 6 | 7480 | 2596 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) |
x |
(-.f64 x (*.f64 1/2 (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))) |
(log.f64 (sqrt.f64 -1)) |
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))) |
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) x) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))) |
(*.f64 2 x) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))) |
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0) |
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0) |
(*.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1) |
(*.f64 2 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2)) |
(*.f64 2 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 1)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 1/2) |
(*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4))) 16) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1) |
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0) |
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) |
(-.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0) |
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) |
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1) |
(*.f64 2 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2)) |
(*.f64 2 (*.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 1)) |
(*.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 1/2) |
(*.f64 1/2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2)) |
(*.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 2) |
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1) |
(/.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 2) |
(/.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4)) (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4))) 16) |
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1) |
(-.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 0) |
(*.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) |
(*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1) |
(*.f64 2 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2)) |
(*.f64 2 (*.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 1)) |
(*.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 1/2) |
(*.f64 1/2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2)) |
(*.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 2) |
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1) |
(/.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 2) |
(/.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4)) (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4))) 16) |
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1) |
| Outputs |
|---|
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1)))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1))))) |
x |
(-.f64 x (*.f64 1/2 (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 x)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (neg.f64 x)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (neg.f64 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (neg.f64 x)))) |
(log.f64 (sqrt.f64 -1)) |
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))) |
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))) |
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) |
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))) |
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (*.f64 3/40 (/.f64 (pow.f64 x 5) (sqrt.f64 -1))))) |
(+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (*.f64 3/40 (/.f64 (pow.f64 x 5) (sqrt.f64 -1))))) |
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (*.f64 3/40 (/.f64 (pow.f64 x 5) (sqrt.f64 -1))))) |
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (sqrt.f64 -1))) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))) |
(+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 3/40 (/.f64 (pow.f64 x 5) (sqrt.f64 -1)))))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 2) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) |
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) |
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6))))))) |
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 (/.f64 -1 x)))) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -1/2)))) |
(+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))) |
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) (log.f64 (/.f64 -1 x)))) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 -1/2)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))) |
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6))))) (log.f64 (/.f64 -1 x)))) |
(+.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6))))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) |
(+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 -1/2) (+.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) (log.f64 (/.f64 -1 x))))) |
(+.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) (+.f64 (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (log.f64 -1/2)) (log.f64 (/.f64 -1 x)))) |
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 -1/2))))) |
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) x) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) x)) |
(+.f64 (sqrt.f64 -1) (+.f64 x (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))) |
(+.f64 (sqrt.f64 -1) (+.f64 (+.f64 x (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 x (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 x (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))) |
(+.f64 x (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 x x) |
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (*.f64 x 2) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 x x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))) |
(-.f64 (*.f64 x 2) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))) |
(-.f64 (+.f64 x x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))) |
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1))) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(*.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1))) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(*.f64 2 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2)) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(*.f64 2 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 1)) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 1/2) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2)) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4) 4) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) 8) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4))) 16) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(-.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(*.f64 2 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2)) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(*.f64 2 (*.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 1)) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(*.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 1/2) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(*.f64 1/2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2)) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(*.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 2) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(/.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 2) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(/.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4) 4) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(/.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4)) 8) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4)) (*.f64 2 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4))) 16) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))) |
(-.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 0) |
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) |
(*.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) |
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) |
(*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1) |
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) |
(*.f64 2 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2)) |
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) |
(*.f64 2 (*.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 1)) |
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 1/2) |
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) |
(*.f64 1/2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2)) |
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 2) |
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) |
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1) |
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 2) |
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4) 4) |
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) |
(/.f64 (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4)) 8) |
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4)) (*.f64 2 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 4))) 16) |
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) |
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1) |
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) |
Compiled 2644 to 2143 computations (18.9% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 143 | 4 | 147 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 143 | 5 | 148 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.9b | (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
| ▶ | 63.0b | (log.f64 (/.f64 1/2 x)) |
| ▶ | 0.6b | (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) |
| ✓ | 29.5b | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| ▶ | 1.0b | (log.f64 (+.f64 x x)) |
Compiled 40 to 30 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (log.f64 (+.f64 x x)) |
Compiled 9 to 3 computations (66.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | 0 | (log.f64 (+.f64 x x)) |
| 14.0ms | x | @ | -inf | (log.f64 (+.f64 x x)) |
| 6.0ms | x | @ | inf | (log.f64 (+.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1720× | rational.json-simplify-35 |
| 1468× | rational.json-1 |
| 1468× | rational.json-2 |
| 1468× | rational.json-3 |
| 1390× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 38 | 11 |
| 2 | 89 | 11 |
| 3 | 179 | 11 |
| 4 | 331 | 11 |
| 5 | 722 | 11 |
| 6 | 1722 | 11 |
| 7 | 3044 | 11 |
| 8 | 4083 | 11 |
| 9 | 5610 | 11 |
| 10 | 7207 | 11 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x x))) (log.f64 (sqrt.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 1/8 (log.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (+.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (+.f64 x x) 1/4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (log.f64 (+.f64 x x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (+.f64 x x) 16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x x)) 1))))) |
| 1× | egg-herbie |
| 5844× | rational.json-simplify-41 |
| 4590× | rational.json-simplify-35 |
| 2146× | rational.json-simplify-49 |
| 1876× | rational.json-simplify-2 |
| 774× | rational.json-simplify-44 |
Useful iterations: 18 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 680 |
| 1 | 157 | 664 |
| 2 | 410 | 664 |
| 3 | 975 | 664 |
| 4 | 1589 | 664 |
| 5 | 2270 | 664 |
| 6 | 2620 | 664 |
| 7 | 2723 | 664 |
| 8 | 2795 | 664 |
| 9 | 2855 | 664 |
| 10 | 2911 | 664 |
| 11 | 2964 | 664 |
| 12 | 3017 | 664 |
| 13 | 3568 | 664 |
| 14 | 3821 | 664 |
| 15 | 3910 | 664 |
| 16 | 3999 | 664 |
| 17 | 4070 | 664 |
| 18 | 4141 | 650 |
| 19 | 5543 | 650 |
| 20 | 6091 | 650 |
| 21 | 6103 | 650 |
| 22 | 6106 | 650 |
| 23 | 6107 | 650 |
| 24 | 6107 | 650 |
| 25 | 6815 | 650 |
| 26 | 7018 | 650 |
| 27 | 7213 | 650 |
| 28 | 7393 | 650 |
| 29 | 7573 | 650 |
| 30 | 7753 | 650 |
| 31 | 7933 | 650 |
| 32 | 7933 | 650 |
| 33 | 7933 | 650 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(+.f64 (log.f64 (+.f64 x x)) 0) |
(+.f64 0 (log.f64 (+.f64 x x))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x x))) (log.f64 (sqrt.f64 (+.f64 x x)))) |
(-.f64 (log.f64 (+.f64 x x)) 0) |
(*.f64 (log.f64 (+.f64 x x)) 1) |
(*.f64 1 (log.f64 (+.f64 x x))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x x)))) |
(*.f64 (*.f64 (log.f64 (+.f64 x x)) 2) 1/2) |
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4))) |
(*.f64 (*.f64 (log.f64 (+.f64 x x)) 4) 1/4) |
(*.f64 1/2 (*.f64 (log.f64 (+.f64 x x)) 2)) |
(*.f64 8 (*.f64 1/8 (log.f64 (+.f64 x x)))) |
(*.f64 (*.f64 (log.f64 (+.f64 x x)) 8) 1/8) |
(*.f64 (log.f64 (sqrt.f64 (+.f64 x x))) 2) |
(*.f64 1/4 (*.f64 (log.f64 (+.f64 x x)) 4)) |
(*.f64 (log.f64 (pow.f64 (+.f64 x x) 1/4)) 4) |
(*.f64 1/8 (*.f64 (log.f64 (+.f64 x x)) 8)) |
(/.f64 (log.f64 (+.f64 x x)) 1) |
(/.f64 (*.f64 (log.f64 (+.f64 x x)) 2) 2) |
(/.f64 (*.f64 (log.f64 (+.f64 x x)) 4) 4) |
(/.f64 (*.f64 (log.f64 (+.f64 x x)) 8) 8) |
(/.f64 (log.f64 (pow.f64 (+.f64 x x) 16)) 16) |
(/.f64 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))))) 128) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16)))))) 256) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))))))) 512) |
(pow.f64 (log.f64 (+.f64 x x)) 1) |
| Outputs |
|---|
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(+.f64 (log.f64 (+.f64 x x)) 0) |
(log.f64 (+.f64 x x)) |
(+.f64 0 (log.f64 (+.f64 x x))) |
(log.f64 (+.f64 x x)) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x x))) (log.f64 (sqrt.f64 (+.f64 x x)))) |
(log.f64 (+.f64 x x)) |
(-.f64 (log.f64 (+.f64 x x)) 0) |
(log.f64 (+.f64 x x)) |
(*.f64 (log.f64 (+.f64 x x)) 1) |
(log.f64 (+.f64 x x)) |
(*.f64 1 (log.f64 (+.f64 x x))) |
(log.f64 (+.f64 x x)) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x x)))) |
(log.f64 (+.f64 x x)) |
(*.f64 (*.f64 (log.f64 (+.f64 x x)) 2) 1/2) |
(log.f64 (+.f64 x x)) |
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4))) |
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x x) 4))) |
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) 2)) |
(*.f64 (*.f64 (log.f64 (+.f64 x x)) 4) 1/4) |
(log.f64 (+.f64 x x)) |
(*.f64 1/2 (*.f64 (log.f64 (+.f64 x x)) 2)) |
(log.f64 (+.f64 x x)) |
(*.f64 8 (*.f64 1/8 (log.f64 (+.f64 x x)))) |
(log.f64 (+.f64 x x)) |
(*.f64 (*.f64 (log.f64 (+.f64 x x)) 8) 1/8) |
(log.f64 (+.f64 x x)) |
(*.f64 (log.f64 (sqrt.f64 (+.f64 x x))) 2) |
(log.f64 (+.f64 x x)) |
(*.f64 1/4 (*.f64 (log.f64 (+.f64 x x)) 4)) |
(log.f64 (+.f64 x x)) |
(*.f64 (log.f64 (pow.f64 (+.f64 x x) 1/4)) 4) |
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4))) |
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x x) 4))) |
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) 2)) |
(*.f64 1/8 (*.f64 (log.f64 (+.f64 x x)) 8)) |
(log.f64 (+.f64 x x)) |
(/.f64 (log.f64 (+.f64 x x)) 1) |
(log.f64 (+.f64 x x)) |
(/.f64 (*.f64 (log.f64 (+.f64 x x)) 2) 2) |
(log.f64 (+.f64 x x)) |
(/.f64 (*.f64 (log.f64 (+.f64 x x)) 4) 4) |
(log.f64 (+.f64 x x)) |
(/.f64 (*.f64 (log.f64 (+.f64 x x)) 8) 8) |
(log.f64 (+.f64 x x)) |
(/.f64 (log.f64 (pow.f64 (+.f64 x x) 16)) 16) |
(/.f64 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))) 32) |
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4))) |
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x x) 4))) |
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) 2)) |
(/.f64 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16)))) 64) |
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4))) |
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x x) 4))) |
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))))) 128) |
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4))) |
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x x) 4))) |
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16)))))) 256) |
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4))) |
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x x) 4))) |
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) 2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 x x) 16))))))) 512) |
(*.f64 4 (log.f64 (pow.f64 (+.f64 x x) 1/4))) |
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x x) 4))) |
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x x)) 2)) |
(pow.f64 (log.f64 (+.f64 x x)) 1) |
(log.f64 (+.f64 x x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) |
Compiled 34 to 21 computations (38.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) |
| 0.0ms | x | @ | -inf | (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) |
| 0.0ms | x | @ | inf | (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 1506× | rational.json-1 |
| 1506× | rational.json-2 |
| 1506× | rational.json-3 |
| 1494× | rational.json-4 |
| 1492× | exponential.json-3 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 29 |
| 1 | 82 | 29 |
| 2 | 180 | 29 |
| 3 | 373 | 23 |
| 4 | 781 | 23 |
| 5 | 2330 | 23 |
| 6 | 6214 | 23 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8)) (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1))))) |
| 1× | egg-herbie |
| 1866× | rational.json-simplify-35 |
| 1392× | rational.json-simplify-2 |
| 1230× | rational.json-simplify-46 |
| 1100× | rational.json-simplify-1 |
| 1062× | rational.json-simplify-49 |
Useful iterations: 18 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 1179 |
| 1 | 192 | 1155 |
| 2 | 399 | 1155 |
| 3 | 920 | 1155 |
| 4 | 1476 | 1155 |
| 5 | 2677 | 1155 |
| 6 | 3332 | 1155 |
| 7 | 3425 | 1155 |
| 8 | 3497 | 1155 |
| 9 | 3552 | 1155 |
| 10 | 3604 | 1155 |
| 11 | 3656 | 1155 |
| 12 | 3716 | 1155 |
| 13 | 3768 | 1155 |
| 14 | 3820 | 1155 |
| 15 | 3872 | 1155 |
| 16 | 3924 | 1155 |
| 17 | 3976 | 1155 |
| 18 | 4028 | 1147 |
| 19 | 4837 | 1147 |
| 20 | 4993 | 1147 |
| 21 | 5057 | 1147 |
| 22 | 5120 | 1147 |
| 23 | 5186 | 1147 |
| 24 | 5269 | 1147 |
| 25 | 5554 | 1147 |
| 26 | 5873 | 1147 |
| 27 | 7109 | 1147 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x)))))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0) |
(+.f64 0 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) |
(-.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0) |
(*.f64 1/2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2)) |
(*.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) |
(*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) |
(*.f64 4 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4)) |
(*.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2) 1/2) |
(*.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 1/4) |
(*.f64 1/4 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4)) |
(*.f64 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) 2) |
(*.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 4) |
(/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1) |
(/.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2) 2) |
(/.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 4) |
(/.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8)) 16) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8)) (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8))) 32) |
(pow.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1) |
| Outputs |
|---|
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -4 (pow.f64 x 2)))) |
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (*.f64 -4 (pow.f64 x 2)))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))))) |
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))) (*.f64 -8 (pow.f64 x 4)))) |
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4))))) |
(+.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4)))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 -8 (pow.f64 x 4))))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x)))))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -64/3 (pow.f64 x 6)))))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))) (*.f64 -8 (pow.f64 x 4))))) |
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4))) (*.f64 -64/3 (pow.f64 x 6))))) |
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4)))))) |
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6)))))) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (*.f64 -8 (pow.f64 x 4)))))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 2) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 2) (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 2) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))) |
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))) |
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 -2) (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 -2) (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 -2) (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 -2) (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))) |
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))) |
(+.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(+.f64 0 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(-.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(*.f64 1/2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2)) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(*.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(*.f64 4 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4)) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(*.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2) 1/2) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(*.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 1/4) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(*.f64 1/4 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4)) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(*.f64 (log.f64 (sqrt.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) 2) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(*.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 4) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(/.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 2) 2) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(/.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 4) 4) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(/.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8) 8) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(/.f64 (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8)) 16) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8)) (*.f64 2 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 8))) 32) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(pow.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log.f64 (/.f64 1/2 x)) |
Compiled 10 to 7 computations (30% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | -inf | (log.f64 (/.f64 1/2 x)) |
| 10.0ms | x | @ | 0 | (log.f64 (/.f64 1/2 x)) |
| 5.0ms | x | @ | inf | (log.f64 (/.f64 1/2 x)) |
| 1× | batch-egg-rewrite |
| 1184× | rational.json-1 |
| 1184× | rational.json-2 |
| 1184× | rational.json-3 |
| 1174× | rational.json-4 |
| 1164× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 47 | 11 |
| 2 | 113 | 11 |
| 3 | 263 | 11 |
| 4 | 528 | 11 |
| 5 | 1447 | 11 |
| 6 | 4300 | 11 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 1/2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) (log.f64 (sqrt.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 (/.f64 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (/.f64 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1/2 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1/2 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 1/2 x)) 1))))) |
| 1× | egg-herbie |
| 4568× | rational.json-simplify-41 |
| 1834× | rational.json-simplify-35 |
| 1298× | rational.json-simplify-2 |
| 1124× | rational.json-simplify-49 |
| 984× | rational.json-simplify-51 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 483 |
| 1 | 108 | 475 |
| 2 | 259 | 475 |
| 3 | 725 | 475 |
| 4 | 1173 | 475 |
| 5 | 2161 | 475 |
| 6 | 2710 | 475 |
| 7 | 2786 | 475 |
| 8 | 2846 | 475 |
| 9 | 2889 | 475 |
| 10 | 2925 | 475 |
| 11 | 2961 | 475 |
| 12 | 2997 | 475 |
| 13 | 3033 | 475 |
| 14 | 3069 | 475 |
| 15 | 3105 | 475 |
| 16 | 3141 | 475 |
| 17 | 3177 | 475 |
| 18 | 3213 | 475 |
| 19 | 4041 | 475 |
| 20 | 4173 | 475 |
| 21 | 7426 | 475 |
| 22 | 7495 | 475 |
| 23 | 7570 | 475 |
| 24 | 7625 | 475 |
| 25 | 7804 | 475 |
| 26 | 7847 | 475 |
| 27 | 7886 | 475 |
| 28 | 7925 | 475 |
| 29 | 7962 | 475 |
| 30 | 7999 | 475 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) |
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 (/.f64 1/2 x)) 0) |
(+.f64 0 (log.f64 (/.f64 1/2 x))) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) (log.f64 (sqrt.f64 (/.f64 1/2 x)))) |
(-.f64 (log.f64 (/.f64 1/2 x)) 0) |
(*.f64 1/2 (*.f64 (log.f64 (/.f64 1/2 x)) 2)) |
(*.f64 (log.f64 (/.f64 1/2 x)) 1) |
(*.f64 1 (log.f64 (/.f64 1/2 x))) |
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 1/2 x)))) |
(*.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2) 1/2) |
(*.f64 4 (/.f64 (log.f64 (/.f64 1/2 x)) 4)) |
(*.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 4) 1/4) |
(*.f64 1/4 (*.f64 (log.f64 (/.f64 1/2 x)) 4)) |
(*.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) 2) |
(*.f64 (/.f64 (log.f64 (/.f64 1/2 x)) 4) 4) |
(/.f64 (log.f64 (/.f64 1/2 x)) 1) |
(/.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2) 2) |
(/.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 4) 4) |
(/.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1/2 x)) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1/2 x)) 8))) 32) |
(pow.f64 (log.f64 (/.f64 1/2 x)) 1) |
| Outputs |
|---|
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) |
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) |
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) |
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) |
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))) |
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 (/.f64 1/2 x)) 0) |
(log.f64 (/.f64 1/2 x)) |
(+.f64 0 (log.f64 (/.f64 1/2 x))) |
(log.f64 (/.f64 1/2 x)) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) (log.f64 (sqrt.f64 (/.f64 1/2 x)))) |
(log.f64 (/.f64 1/2 x)) |
(-.f64 (log.f64 (/.f64 1/2 x)) 0) |
(log.f64 (/.f64 1/2 x)) |
(*.f64 1/2 (*.f64 (log.f64 (/.f64 1/2 x)) 2)) |
(log.f64 (/.f64 1/2 x)) |
(*.f64 (log.f64 (/.f64 1/2 x)) 1) |
(log.f64 (/.f64 1/2 x)) |
(*.f64 1 (log.f64 (/.f64 1/2 x))) |
(log.f64 (/.f64 1/2 x)) |
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 1/2 x)))) |
(log.f64 (/.f64 1/2 x)) |
(*.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2) 1/2) |
(log.f64 (/.f64 1/2 x)) |
(*.f64 4 (/.f64 (log.f64 (/.f64 1/2 x)) 4)) |
(log.f64 (/.f64 1/2 x)) |
(*.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 4) 1/4) |
(log.f64 (/.f64 1/2 x)) |
(*.f64 1/4 (*.f64 (log.f64 (/.f64 1/2 x)) 4)) |
(log.f64 (/.f64 1/2 x)) |
(*.f64 (log.f64 (sqrt.f64 (/.f64 1/2 x))) 2) |
(log.f64 (/.f64 1/2 x)) |
(*.f64 (/.f64 (log.f64 (/.f64 1/2 x)) 4) 4) |
(log.f64 (/.f64 1/2 x)) |
(/.f64 (log.f64 (/.f64 1/2 x)) 1) |
(log.f64 (/.f64 1/2 x)) |
(/.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 2) 2) |
(log.f64 (/.f64 1/2 x)) |
(/.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 4) 4) |
(log.f64 (/.f64 1/2 x)) |
(/.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 8) 8) |
(log.f64 (/.f64 1/2 x)) |
(/.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1/2 x)) 8)) 16) |
(log.f64 (/.f64 1/2 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1/2 x)) 8))) 32) |
(log.f64 (/.f64 1/2 x)) |
(pow.f64 (log.f64 (/.f64 1/2 x)) 1) |
(log.f64 (/.f64 1/2 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
Compiled 26 to 21 computations (19.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | 0 | (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
| 9.0ms | x | @ | -inf | (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
| 5.0ms | x | @ | inf | (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 1328× | rational.json-1 |
| 1328× | rational.json-2 |
| 1328× | rational.json-3 |
| 1302× | rational.json-4 |
| 1298× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 25 |
| 1 | 84 | 25 |
| 2 | 182 | 25 |
| 3 | 368 | 25 |
| 4 | 793 | 25 |
| 5 | 2115 | 25 |
| 6 | 5470 | 25 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (-.f64 1 (log.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 (/.f64 1 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (log.f64 2)) (*.f64 (log.f64 (/.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1))))) |
| 1× | egg-herbie |
| 3200× | rational.json-simplify-48 |
| 1838× | rational.json-simplify-2 |
| 1752× | rational.json-simplify-1 |
| 1296× | rational.json-simplify-35 |
| 1190× | rational.json-simplify-49 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 843 |
| 1 | 130 | 835 |
| 2 | 318 | 835 |
| 3 | 852 | 835 |
| 4 | 1367 | 835 |
| 5 | 2990 | 835 |
| 6 | 3395 | 835 |
| 7 | 3490 | 835 |
| 8 | 3566 | 835 |
| 9 | 3633 | 835 |
| 10 | 3691 | 835 |
| 11 | 4330 | 835 |
| 12 | 4443 | 835 |
| 13 | 4686 | 835 |
| 14 | 5308 | 835 |
| 15 | 5408 | 835 |
| 16 | 5448 | 835 |
| 17 | 5488 | 835 |
| 18 | 5528 | 835 |
| 19 | 6379 | 835 |
| 20 | 7390 | 835 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x))) |
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x))) |
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x))) |
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x))) |
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) |
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) |
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) |
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) |
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 0) |
(-.f64 (+.f64 (log.f64 2) (-.f64 1 (log.f64 (/.f64 1 x)))) 1) |
(*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1/2)) |
(*.f64 2 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 (/.f64 1 x)) -1/2))) |
(*.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) |
(*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1) |
(*.f64 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 1/2) |
(*.f64 4 (/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4)) |
(*.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 1/4) |
(*.f64 1/2 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))) |
(*.f64 1/2 (+.f64 (*.f64 2 (log.f64 2)) (*.f64 (log.f64 (/.f64 1 x)) -2))) |
(*.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1/2) 2) |
(*.f64 1/4 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4)) |
(*.f64 (/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 4) |
(/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1) |
(/.f64 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 2) |
(/.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 4) |
(/.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8))) 32) |
(pow.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1) |
| Outputs |
|---|
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x))) |
(-.f64 (log.f64 2) (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x))) |
(-.f64 (log.f64 2) (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x))) |
(-.f64 (log.f64 2) (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x))) |
(-.f64 (log.f64 2) (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) |
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) |
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) |
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) |
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 0) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (log.f64 2) (-.f64 1 (log.f64 (/.f64 1 x)))) 1) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1/2)) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(*.f64 2 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 (/.f64 1 x)) -1/2))) |
(*.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 1/2) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(*.f64 4 (/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4)) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 1/4) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(*.f64 1/2 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(*.f64 1/2 (+.f64 (*.f64 2 (log.f64 2)) (*.f64 (log.f64 (/.f64 1 x)) -2))) |
(*.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1/2) 2) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(*.f64 1/4 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4)) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(*.f64 (/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 4) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(/.f64 (*.f64 2 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 2) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(/.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 4) 4) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(/.f64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8) 8) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8)) 16) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 8))) 32) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(pow.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
Compiled 2052 to 1608 computations (21.6% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 2 | 159 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 159 | 5 | 164 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.9b | (+.f64 (log.f64 2) (log.f64 x)) |
| ✓ | 63.0b | (log.f64 (/.f64 1/2 x)) |
| ▶ | 0.6b | (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
| ✓ | 29.5b | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| ✓ | 1.0b | (log.f64 (+.f64 x x)) |
Compiled 35 to 25 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
Compiled 24 to 12 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
| 0.0ms | x | @ | inf | (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
| 0.0ms | x | @ | -inf | (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
| 1× | batch-egg-rewrite |
| 1558× | rational.json-1 |
| 1558× | rational.json-2 |
| 1558× | rational.json-3 |
| 1546× | rational.json-4 |
| 1536× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 60 | 23 |
| 2 | 141 | 23 |
| 3 | 341 | 23 |
| 4 | 709 | 23 |
| 5 | 2011 | 23 |
| 6 | 5704 | 23 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1))))) |
| 1× | egg-herbie |
| 1864× | rational.json-simplify-35 |
| 1394× | rational.json-simplify-2 |
| 1240× | rational.json-simplify-46 |
| 1104× | rational.json-simplify-1 |
| 1070× | rational.json-simplify-49 |
Useful iterations: 18 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 1179 |
| 1 | 193 | 1155 |
| 2 | 403 | 1155 |
| 3 | 919 | 1155 |
| 4 | 1471 | 1155 |
| 5 | 2680 | 1155 |
| 6 | 3338 | 1155 |
| 7 | 3431 | 1155 |
| 8 | 3503 | 1155 |
| 9 | 3558 | 1155 |
| 10 | 3610 | 1155 |
| 11 | 3662 | 1155 |
| 12 | 3722 | 1155 |
| 13 | 3774 | 1155 |
| 14 | 3826 | 1155 |
| 15 | 3878 | 1155 |
| 16 | 3930 | 1155 |
| 17 | 3982 | 1155 |
| 18 | 4034 | 1147 |
| 19 | 4849 | 1147 |
| 20 | 5019 | 1147 |
| 21 | 5083 | 1147 |
| 22 | 5146 | 1147 |
| 23 | 5212 | 1147 |
| 24 | 5295 | 1147 |
| 25 | 5580 | 1147 |
| 26 | 5900 | 1147 |
| 27 | 7125 | 1147 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x)))))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 0) |
(+.f64 0 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))) |
(-.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 0) |
(*.f64 1/2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2)) |
(*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1) |
(*.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))) |
(*.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 1/2) |
(*.f64 4 (/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4)) |
(*.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 1/4) |
(*.f64 1/4 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4)) |
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) 2) |
(*.f64 (/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 4) |
(/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1) |
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 2) |
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 4) |
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) 16) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8))) 32) |
(pow.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1) |
| Outputs |
|---|
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))) |
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -4 (pow.f64 x 2)))) |
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (*.f64 -4 (pow.f64 x 2)))) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1/2) (*.f64 -4 (pow.f64 x 2)))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))))) |
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4))))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 -8 (pow.f64 x 4))))) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (*.f64 -8 (pow.f64 x 4))))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x)))))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -64/3 (pow.f64 x 6)))))) |
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4)))))) |
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6))) (*.f64 -4 (pow.f64 x 2))))) |
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6)))))) |
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -64/3 (pow.f64 x 6)))))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 2) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 2) (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 2) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))) |
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))) |
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))) |
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 -2) (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 -2) (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 -2) (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))) |
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))) |
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))) |
(+.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 0) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(+.f64 0 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(-.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 0) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(*.f64 1/2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2)) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(*.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(*.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 1/2) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(*.f64 4 (/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4)) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(*.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 1/4) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(*.f64 1/4 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4)) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) 2) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(*.f64 (/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 4) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 2) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 4) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8) 8) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(/.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) 16) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (*.f64 2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8))) 32) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
(pow.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1) |
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) |
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (+.f64 (log.f64 2) (log.f64 x)) |
Compiled 12 to 8 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | (+.f64 (log.f64 2) (log.f64 x)) |
| 0.0ms | x | @ | 0 | (+.f64 (log.f64 2) (log.f64 x)) |
| 0.0ms | x | @ | inf | (+.f64 (log.f64 2) (log.f64 x)) |
| 1× | batch-egg-rewrite |
| 1578× | rational.json-1 |
| 1578× | rational.json-2 |
| 1578× | rational.json-3 |
| 1528× | rational.json-simplify-35 |
| 1482× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 51 | 15 |
| 2 | 105 | 15 |
| 3 | 205 | 15 |
| 4 | 383 | 15 |
| 5 | 865 | 15 |
| 6 | 2224 | 15 |
| 7 | 4039 | 15 |
| 8 | 5200 | 15 |
| 9 | 7103 | 15 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log.f64 2) (log.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (log.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 1))))) |
| 1× | egg-herbie |
| 3076× | rational.json-simplify-51 |
| 2804× | rational.json-simplify-2 |
| 1830× | rational.json-simplify-35 |
| 1492× | rational.json-simplify-1 |
| 1196× | rational.json-simplify-49 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 637 |
| 1 | 137 | 621 |
| 2 | 399 | 621 |
| 3 | 1193 | 621 |
| 4 | 1976 | 621 |
| 5 | 3079 | 621 |
| 6 | 3162 | 621 |
| 7 | 3231 | 621 |
| 8 | 3283 | 621 |
| 9 | 3332 | 621 |
| 10 | 3379 | 621 |
| 11 | 3928 | 621 |
| 12 | 3984 | 621 |
| 13 | 4037 | 621 |
| 14 | 4080 | 621 |
| 15 | 4123 | 621 |
| 16 | 4166 | 621 |
| 17 | 4209 | 621 |
| 18 | 4252 | 621 |
| 19 | 5073 | 621 |
| 20 | 7318 | 621 |
| 21 | 7396 | 621 |
| 22 | 7440 | 621 |
| 23 | 7482 | 621 |
| 24 | 7523 | 621 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) |
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) 0) |
(*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/2)) |
(*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1) |
(*.f64 1 (+.f64 (log.f64 2) (log.f64 x))) |
(*.f64 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))) 1/2) |
(*.f64 4 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/4)) |
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4) 1/4) |
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8) 1/8) |
(*.f64 1/2 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x)))) |
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/2) 2) |
(*.f64 1/4 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4)) |
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/4) 4) |
(*.f64 1/8 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)) |
(/.f64 (+.f64 (log.f64 2) (log.f64 x)) 1) |
(/.f64 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))) 2) |
(/.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4) 4) |
(/.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))))) 128) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)))))) 256) |
(pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 1) |
| Outputs |
|---|
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) |
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) |
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) |
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) |
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1))) |
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) 0) |
(+.f64 (log.f64 2) (log.f64 x)) |
(*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/2)) |
(+.f64 (log.f64 2) (log.f64 x)) |
(*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1) |
(+.f64 (log.f64 2) (log.f64 x)) |
(*.f64 1 (+.f64 (log.f64 2) (log.f64 x))) |
(+.f64 (log.f64 2) (log.f64 x)) |
(*.f64 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))) 1/2) |
(*.f64 1/2 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x)))) |
(*.f64 4 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/4)) |
(+.f64 (log.f64 2) (log.f64 x)) |
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4) 1/4) |
(+.f64 (log.f64 2) (log.f64 x)) |
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8) 1/8) |
(+.f64 (log.f64 2) (log.f64 x)) |
(*.f64 1/2 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x)))) |
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/2) 2) |
(+.f64 (log.f64 2) (log.f64 x)) |
(*.f64 1/4 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4)) |
(+.f64 (log.f64 2) (log.f64 x)) |
(*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1/4) 4) |
(+.f64 (log.f64 2) (log.f64 x)) |
(*.f64 1/8 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)) |
(+.f64 (log.f64 2) (log.f64 x)) |
(/.f64 (+.f64 (log.f64 2) (log.f64 x)) 1) |
(+.f64 (log.f64 2) (log.f64 x)) |
(/.f64 (+.f64 (log.f64 4) (*.f64 2 (log.f64 x))) 2) |
(/.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 4) 4) |
(+.f64 (log.f64 2) (log.f64 x)) |
(/.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8) 8) |
(+.f64 (log.f64 2) (log.f64 x)) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)) 16) |
(+.f64 (log.f64 2) (log.f64 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))) 32) |
(+.f64 (log.f64 2) (log.f64 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)))) 64) |
(+.f64 (log.f64 2) (log.f64 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))))) 128) |
(+.f64 (log.f64 2) (log.f64 x)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) 8)))))) 256) |
(+.f64 (log.f64 2) (log.f64 x)) |
(pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 1) |
(+.f64 (log.f64 2) (log.f64 x)) |
Compiled 1587 to 1296 computations (18.3% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 0 | 101 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 101 | 5 | 106 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.9b | (+.f64 (log.f64 2) (log.f64 x)) |
| ✓ | 63.0b | (log.f64 (/.f64 1/2 x)) |
| ✓ | 0.6b | (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
| ✓ | 29.5b | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| ✓ | 1.0b | (log.f64 (+.f64 x x)) |
Compiled 35 to 25 computations (28.6% saved)
| Inputs |
|---|
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 1/2 x)) |
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) |
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| Outputs |
|---|
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
3 calls:
| 5.0ms | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))) |
| 4.0ms | x |
| 4.0ms | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 1 | x |
| 0.6b | 1 | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| 0.6b | 1 | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))) |
Compiled 70 to 47 computations (32.9% saved)
Total -62.1b remaining (-6443.4%)
Threshold costs -62.1b (-6443.4%)
| Inputs |
|---|
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 1/2 x)) |
| Outputs |
|---|
(log.f64 (+.f64 x x)) |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 1 | x |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(log.f64 (+.f64 x x)) |
| Outputs |
|---|
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) |
(log.f64 (+.f64 x x)) |
Compiled 14 to 9 computations (35.7% saved)
| 2× | egg-herbie |
| 1866× | rational.json-simplify-35 |
| 1392× | rational.json-simplify-2 |
| 1230× | rational.json-simplify-46 |
| 1108× | rational.json-simplify-1 |
| 1100× | rational.json-simplify-1 |
Useful iterations: 18 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 2612 |
| 1 | 386 | 2596 |
| 2 | 716 | 2596 |
| 3 | 1643 | 2596 |
| 4 | 3457 | 2596 |
| 5 | 5766 | 2596 |
| 6 | 7480 | 2596 |
| 0 | 100 | 1179 |
| 1 | 192 | 1155 |
| 2 | 399 | 1155 |
| 3 | 920 | 1155 |
| 4 | 1476 | 1155 |
| 5 | 2677 | 1155 |
| 6 | 3332 | 1155 |
| 7 | 3425 | 1155 |
| 8 | 3497 | 1155 |
| 9 | 3552 | 1155 |
| 10 | 3604 | 1155 |
| 11 | 3656 | 1155 |
| 12 | 3716 | 1155 |
| 13 | 3768 | 1155 |
| 14 | 3820 | 1155 |
| 15 | 3872 | 1155 |
| 16 | 3924 | 1155 |
| 17 | 3976 | 1155 |
| 18 | 4028 | 1147 |
| 19 | 4837 | 1147 |
| 20 | 4993 | 1147 |
| 21 | 5057 | 1147 |
| 22 | 5120 | 1147 |
| 23 | 5186 | 1147 |
| 24 | 5269 | 1147 |
| 25 | 5554 | 1147 |
| 26 | 5873 | 1147 |
| 27 | 7109 | 1147 |
| 1× | node limit |
| 1× | node limit |
Compiled 78 to 59 computations (24.4% saved)
Compiled 13 to 7 computations (46.2% saved)
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