Time bar (total: 4.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 33.3% | 25% | 50% | 0% | 0% | 25% | 0% | 3 |
| 66.7% | 50% | 25% | 0% | 0% | 25% | 0% | 4 |
| 83.3% | 62.5% | 12.5% | 0% | 0% | 25% | 0% | 5 |
| 91.7% | 68.7% | 6.2% | 0% | 0% | 25% | 0% | 6 |
| 95.8% | 71.8% | 3.1% | 0% | 0% | 25% | 0% | 7 |
| 97.9% | 73.4% | 1.6% | 0% | 0% | 25% | 0% | 8 |
| 99% | 74.2% | 0.8% | 0% | 0% | 25% | 0% | 9 |
| 99.5% | 74.6% | 0.4% | 0% | 0% | 25% | 0% | 10 |
| 99.7% | 74.8% | 0.2% | 0% | 0% | 25% | 0% | 11 |
| 99.9% | 74.9% | 0.1% | 0% | 0% | 25% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 751.0ms | 8255× | body | 256 | valid |
| 0.0ms | 1× | body | 2048 | valid |
| 0.0ms | 2× | body | 256 | invalid |
| 2× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 1 | 11 | 12 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 1 | 11 | 12 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 9 to 7 computations (22.2% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 9 to 7 computations (22.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 x 1)) |
| ✓ | 0.0b | (+.f64 1 (sqrt.f64 (+.f64 x 1))) |
| ✓ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 24 to 18 computations (25% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 1.0ms | x | @ | -inf | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 1.0ms | x | @ | 0 | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 0.0ms | x | @ | inf | (+.f64 1 (sqrt.f64 (+.f64 x 1))) |
| 0.0ms | x | @ | -inf | (+.f64 1 (sqrt.f64 (+.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 859× | pow1_binary64 |
| 804× | log1p-expm1-u_binary64 |
| 804× | expm1-log1p-u_binary64 |
| 803× | add-log-exp_binary64 |
| 786× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 27 |
| 1 | 157 | 27 |
| 2 | 2282 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(sqrt.f64 (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2)))))) |
| 1× | egg-herbie |
| 736× | fma-def_binary64 |
| 608× | associate-/l*_binary64 |
| 595× | associate-/r*_binary64 |
| 487× | unswap-sqr_binary64 |
| 204× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 1541 |
| 1 | 504 | 1363 |
| 2 | 1848 | 1165 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3))))) |
(-.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) |
(-.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(*.f64 1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2)) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) |
(pow.f64 (+.f64 x 1) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3) |
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) |
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (+.f64 x 1))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(hypot.f64 1 (sqrt.f64 x)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) |
(exp.f64 (*.f64 (log1p.f64 x) 1/2)) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 2) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 2))) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(fma.f64 1/2 x 1) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 1))) |
(-.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))) |
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (neg.f64 x) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (/.f64 (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) |
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))) |
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (neg.f64 x) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1) |
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))) |
(-.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(-.f64 (/.f64 1 (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (+.f64 x 1) (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x))))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) |
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))) |
(/.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1) |
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 1 (hypot.f64 1 (sqrt.f64 x))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(hypot.f64 1 (sqrt.f64 x)) |
(*.f64 1 (sqrt.f64 (+.f64 x 1))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(hypot.f64 1 (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(hypot.f64 1 (sqrt.f64 x)) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4)) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(hypot.f64 1 (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(hypot.f64 1 (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x))) |
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) |
(pow.f64 (+.f64 x 1) 1/2) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(hypot.f64 1 (sqrt.f64 x)) |
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(hypot.f64 1 (sqrt.f64 x)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(hypot.f64 1 (sqrt.f64 x)) |
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(hypot.f64 1 (sqrt.f64 x)) |
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(fabs.f64 (sqrt.f64 (+.f64 x 1))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(hypot.f64 1 (sqrt.f64 x)) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(hypot.f64 1 (sqrt.f64 x)) |
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) |
(hypot.f64 1 (sqrt.f64 x)) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(hypot.f64 1 (sqrt.f64 x)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 0) |
(hypot.f64 1 (sqrt.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 x) 1/2)) |
(exp.f64 (*.f64 1/2 (log1p.f64 x))) |
(sqrt.f64 (exp.f64 (log1p.f64 x))) |
Compiled 2031 to 1545 computations (23.9% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 146 | 6 | 152 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 146 | 7 | 153 |
| Status | Error | Program |
|---|---|---|
| ▶ | 36.9b | (/.f64 x (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
| ▶ | 22.2b | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ▶ | 22.2b | (/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
| ✓ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ▶ | 2.7b | (/.f64 x (expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
| ▶ | 22.8b | (/.f64 x 2) |
| 8.9b | (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
Compiled 135 to 105 computations (22.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 1 (sqrt.f64 (+.f64 x 1))) | |
| ✓ | 0.2b | (/.f64 x (expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
| ✓ | 0.6b | (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 1.9b | (expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
Compiled 41 to 33 computations (19.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 1.0ms | x | @ | -inf | (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 1.0ms | x | @ | 0 | (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 0.0ms | x | @ | inf | (/.f64 x (expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
| 0.0ms | x | @ | -inf | (/.f64 x (expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
| 1× | batch-egg-rewrite |
| 941× | pow1_binary64 |
| 880× | expm1-log1p-u_binary64 |
| 879× | log1p-expm1-u_binary64 |
| 878× | add-log-exp_binary64 |
| 89× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 178 | 32 |
| 2 | 2489 | 32 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 3) 1) (+.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 2 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 1) (+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))))))) |
| 1× | egg-herbie |
| 572× | associate-/l*_binary64 |
| 571× | fma-def_binary64 |
| 563× | unswap-sqr_binary64 |
| 548× | associate-/r*_binary64 |
| 396× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 1410 |
| 1 | 515 | 1351 |
| 2 | 1968 | 1307 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
(log.f64 3) |
(+.f64 (*.f64 1/6 x) (log.f64 3)) |
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) (+.f64 (*.f64 1/6 x) (log.f64 3))) |
(+.f64 (*.f64 19/648 (pow.f64 x 3)) (+.f64 (*.f64 -1/18 (pow.f64 x 2)) (+.f64 (*.f64 1/6 x) (log.f64 3)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(+.f64 1 (sqrt.f64 (+.f64 1 x))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) 1) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) -1) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1) |
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) |
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x))) |
(/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) 1)) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 3) 1) (+.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 2 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 1)))) |
(/.f64 (-.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 1) (+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 1)) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) |
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1) |
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))) 1) |
(*.f64 1 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 1) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(pow.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 1) |
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) 3) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) 2) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 2)) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(exp.f64 (log.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1) |
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) |
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -1) |
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -1))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))) |
| Outputs |
|---|
2 |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 2) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 2))) |
(log.f64 3) |
(+.f64 (*.f64 1/6 x) (log.f64 3)) |
(fma.f64 1/6 x (log.f64 3)) |
(fma.f64 x 1/6 (log.f64 3)) |
(+.f64 (*.f64 -1/18 (pow.f64 x 2)) (+.f64 (*.f64 1/6 x) (log.f64 3))) |
(fma.f64 -1/18 (*.f64 x x) (fma.f64 1/6 x (log.f64 3))) |
(fma.f64 (*.f64 x x) -1/18 (fma.f64 x 1/6 (log.f64 3))) |
(fma.f64 x (*.f64 x -1/18) (fma.f64 x 1/6 (log.f64 3))) |
(+.f64 (*.f64 19/648 (pow.f64 x 3)) (+.f64 (*.f64 -1/18 (pow.f64 x 2)) (+.f64 (*.f64 1/6 x) (log.f64 3)))) |
(fma.f64 19/648 (pow.f64 x 3) (fma.f64 -1/18 (*.f64 x x) (fma.f64 1/6 x (log.f64 3)))) |
(fma.f64 (pow.f64 x 3) 19/648 (fma.f64 (*.f64 x x) -1/18 (fma.f64 x 1/6 (log.f64 3)))) |
(fma.f64 (pow.f64 x 3) 19/648 (fma.f64 x (*.f64 x -1/18) (fma.f64 x 1/6 (log.f64 3)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
(*.f64 x (+.f64 1/2 (*.f64 x -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) |
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/16 x) -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
(+.f64 1 (sqrt.f64 (+.f64 1 x))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(+.f64 (sqrt.f64 (+.f64 1 x)) 1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) -1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(-.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) |
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) |
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x))) |
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) 1)) |
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)) |
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 (-.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 3) 1) (+.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 2 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 1)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3) -1) (fma.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3)) (fma.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 3 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 3)) (+.f64 1 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 3 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 1) (+.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 1)) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1) |
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))) 1) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 1 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 1) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) 2)) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 1) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 3) 1/3) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) 3) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))))) 2) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 2)) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))) 3)) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(exp.f64 (log.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))) |
(log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -1))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) |
(/.f64 x (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) |
(/.f64 x (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 x (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 x (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 x (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) |
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x)))) |
(/.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x)) |
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -1) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -1))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) |
Compiled 6 to 4 computations (33.3% saved)
Compiled 19 to 14 computations (26.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (+.f64 (*.f64 1/2 x) 1)) |
Compiled 28 to 22 computations (21.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 1 (+.f64 (*.f64 1/2 x) 1)) |
| 0.0ms | x | @ | inf | (+.f64 1 (+.f64 (*.f64 1/2 x) 1)) |
| 0.0ms | x | @ | -inf | (+.f64 1 (+.f64 (*.f64 1/2 x) 1)) |
| 1× | batch-egg-rewrite |
| 766× | pow1_binary64 |
| 715× | log1p-expm1-u_binary64 |
| 715× | expm1-log1p-u_binary64 |
| 714× | add-log-exp_binary64 |
| 702× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 8 |
| 1 | 154 | 7 |
| 2 | 1976 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (+.f64 (*.f64 1/2 x) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 0 (*.f64 1/2 x))) (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2) (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (/.f64 1 (-.f64 0 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 0 (*.f64 1/2 x)) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (-.f64 0 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (neg.f64 (-.f64 0 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/2 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) 1))))) |
| 1× | egg-herbie |
| 540× | fma-neg_binary64 |
| 378× | div-sub_binary64 |
| 362× | associate-*l*_binary64 |
| 352× | cancel-sign-sub-inv_binary64 |
| 326× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 333 |
| 1 | 186 | 308 |
| 2 | 619 | 308 |
| 3 | 4088 | 308 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 1/2 x) 2) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) 1) |
(-.f64 (/.f64 1 (-.f64 0 (*.f64 1/2 x))) (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (*.f64 1/2 x)))) |
(*.f64 1 (+.f64 (*.f64 1/2 x) 2)) |
(*.f64 (+.f64 (*.f64 1/2 x) 2) 1) |
(*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2) (cbrt.f64 (+.f64 (*.f64 1/2 x) 2))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))))) |
(*.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (/.f64 1 (-.f64 0 (*.f64 1/2 x)))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)))) |
(/.f64 1 (/.f64 (-.f64 0 (*.f64 1/2 x)) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (*.f64 1/2 x)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (-.f64 0 (*.f64 1/2 x))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (neg.f64 (-.f64 0 (*.f64 1/2 x)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1) (*.f64 1/2 x)) |
(pow.f64 (+.f64 (*.f64 1/2 x) 2) 1) |
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 3) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2)) |
(log.f64 (exp.f64 (+.f64 (*.f64 1/2 x) 2))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 x) 2))) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/2 x) 2))) |
(exp.f64 (log1p.f64 (fma.f64 1/2 x 1))) |
(fma.f64 1 (fma.f64 1/2 x 1) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) 1) |
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) 1) |
| Outputs |
|---|
2 |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) 1) |
(fma.f64 1/2 x 2) |
(-.f64 (/.f64 1 (-.f64 0 (*.f64 1/2 x))) (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (*.f64 1/2 x)))) |
(fma.f64 1/2 x 2) |
(*.f64 1 (+.f64 (*.f64 1/2 x) 2)) |
(fma.f64 1/2 x 2) |
(*.f64 (+.f64 (*.f64 1/2 x) 2) 1) |
(fma.f64 1/2 x 2) |
(*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)) |
(fma.f64 1/2 x 2) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2) (cbrt.f64 (+.f64 (*.f64 1/2 x) 2))) |
(fma.f64 1/2 x 2) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))) |
(fma.f64 1/2 x 2) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x -1/2 -1) 3)) (fma.f64 1/2 (*.f64 x (fma.f64 x -1/2 -1)) -1)) |
(*.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (/.f64 1 (-.f64 0 (*.f64 1/2 x)))) |
(fma.f64 1/2 x 2) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x -1/2 -1) 3)) (fma.f64 1/2 (*.f64 x (fma.f64 x -1/2 -1)) -1)) |
(/.f64 1 (/.f64 (-.f64 0 (*.f64 1/2 x)) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))) |
(fma.f64 1/2 x 2) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x)))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x -1/2 -1) 3)) (fma.f64 1/2 (*.f64 x (fma.f64 x -1/2 -1)) -1)) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (*.f64 1/2 x)))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x -1/2 -1) 3)) (fma.f64 1/2 (*.f64 x (fma.f64 x -1/2 -1)) -1)) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (-.f64 0 (*.f64 1/2 x))) |
(fma.f64 1/2 x 2) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1))))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x -1/2 -1) 3)) (fma.f64 1/2 (*.f64 x (fma.f64 x -1/2 -1)) -1)) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (neg.f64 (-.f64 0 (*.f64 1/2 x)))) |
(fma.f64 1/2 x 2) |
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1) (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(pow.f64 (+.f64 (*.f64 1/2 x) 2) 1) |
(fma.f64 1/2 x 2) |
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3) 1/3) |
(fma.f64 1/2 x 2) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 3) |
(fma.f64 1/2 x 2) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2) |
(fma.f64 1/2 x 2) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2)) |
(fma.f64 1/2 x 2) |
(log.f64 (exp.f64 (+.f64 (*.f64 1/2 x) 2))) |
(fma.f64 1/2 x 2) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3)) |
(fma.f64 1/2 x 2) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 x) 2))) |
(fma.f64 1/2 x 2) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/2 x) 2))) |
(fma.f64 1/2 x 2) |
(exp.f64 (log1p.f64 (fma.f64 1/2 x 1))) |
(fma.f64 1 (fma.f64 1/2 x 1) 1) |
(fma.f64 1/2 x 2) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) 1) |
(fma.f64 1/2 x 2) |
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) 1) |
(fma.f64 1/2 x 2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (+.f64 x 1)) | |
| ✓ | 0.2b | (/.f64 x (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
| ✓ | 0.2b | (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
| ✓ | 3.0b | (-.f64 (sqrt.f64 (+.f64 x 1)) 1) |
Compiled 34 to 25 computations (26.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
| 1.0ms | x | @ | -inf | (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
| 0.0ms | x | @ | inf | (-.f64 (sqrt.f64 (+.f64 x 1)) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (sqrt.f64 (+.f64 x 1)) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (sqrt.f64 (+.f64 x 1)) 1) |
| 1× | batch-egg-rewrite |
| 925× | pow1_binary64 |
| 870× | log1p-expm1-u_binary64 |
| 870× | expm1-log1p-u_binary64 |
| 869× | add-log-exp_binary64 |
| 97× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 187 | 25 |
| 2 | 2911 | 25 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(/.f64 x (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 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3/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (*.f64 x (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1))))) |
| 1× | egg-herbie |
| 522× | fma-def_binary64 |
| 442× | unswap-sqr_binary64 |
| 360× | distribute-rgt-in_binary64 |
| 233× | cancel-sign-sub-inv_binary64 |
| 226× | div-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 240 | 2506 |
| 1 | 586 | 1920 |
| 2 | 2572 | 1916 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) |
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1)) |
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(/.f64 1 (/.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)) |
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1))) |
(/.f64 (*.f64 x x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))) |
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (*.f64 x (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1) |
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3) |
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) |
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) |
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1) |
(neg.f64 (/.f64 x (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) |
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) |
(expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1) |
(+.f64 1 (sqrt.f64 (+.f64 x 1))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1) |
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) |
(pow.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) |
(pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))) |
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(-.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) |
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1)) |
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1) |
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3) |
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) |
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) |
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1) |
(neg.f64 (/.f64 x (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) |
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))) |
(expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
(*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 1/16 x)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/2 x)))) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 2) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2))) |
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 2))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
(*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 1/16 x)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/2 x)))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) |
(+.f64 -1 (sqrt.f64 (+.f64 x 1))) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) |
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 x 2))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) |
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(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1) |
(+.f64 (sqrt.f64 (+.f64 x 1)) -1) |
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) |
Compiled 6505 to 4845 computations (25.5% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 432 | 6 | 438 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 435 | 10 | 445 |
| Status | Error | Program |
|---|---|---|
| ▶ | 23.2b | (fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/16 x) -1/8))) |
| 12.8b | (/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) | |
| ▶ | 1.9b | (/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
| ▶ | 22.2b | (/.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) 1)) |
| ✓ | 22.2b | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 22.2b | (/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
| ✓ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ▶ | 60.9b | (/.f64 x (*.f64 1/2 x)) |
| ✓ | 22.8b | (/.f64 x 2) |
| ▶ | 36.9b | (-.f64 (sqrt.f64 (+.f64 x 1)) 1) |
Compiled 165 to 126 computations (23.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
| ✓ | 0.2b | (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
| ✓ | 1.9b | (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
Compiled 30 to 17 computations (43.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
| 2.0ms | x | @ | inf | (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
| 1.0ms | x | @ | inf | (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
| 1.0ms | x | @ | -inf | (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
| 1.0ms | x | @ | 0 | (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
| 1× | batch-egg-rewrite |
| 790× | pow1_binary64 |
| 737× | add-log-exp_binary64 |
| 737× | expm1-log1p-u_binary64 |
| 736× | log1p-expm1-u_binary64 |
| 720× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 169 | 27 |
| 2 | 2297 | 27 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) |
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (+.f64 x 1) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 x (sqrt.f64 (/.f64 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1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (+.f64 x 1) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) |
| 1× | egg-herbie |
| 282× | log-prod_binary64 |
| 230× | cancel-sign-sub-inv_binary64 |
| 221× | distribute-rgt-neg-in_binary64 |
| 215× | exp-prod_binary64 |
| 209× | cube-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 307 | 3578 |
| 1 | 845 | 2915 |
| 2 | 3470 | 2235 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) |
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) 1) |
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) 1) |
(-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) 1) |
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))) 1) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
(/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)) |
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))) (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 (/.f64 1 x))))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 x (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/4 (/.f64 x (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x)))) (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)) (sqrt.f64 x))) (*.f64 1/16 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x))))) (pow.f64 x 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1))))) (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 (/.f64 1 x))))) |
(/.f64 x (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 2))) (/.f64 x (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (*.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 3) x))) (+.f64 (*.f64 1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 2) x))) (/.f64 x (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1))))) |
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(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) |
(pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1) |
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(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) |
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1) |
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3) |
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) |
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) |
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) |
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) |
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3))) |
(expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) |
(+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) |
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) 1) |
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) 1)) |
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) -1)) |
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) 1) |
(+.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) -1) |
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) -1))) |
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1))) |
(-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) 1) |
(+.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) -1) |
(+.f64 (+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) -1/2))) -1) |
(+.f64 (+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -1)) |
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) |
(expm1.f64 (*.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(+.f64 -1 (sqrt.f64 x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)) (expm1.f64 (*.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(+.f64 -1 (fma.f64 1/2 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))) 1) |
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)))) -1) |
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x))) (expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) |
(+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x)) (fma.f64 -1/8 (/.f64 (sqrt.f64 x) (*.f64 x x)) -1)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))) 1) |
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (fma.f64 1/16 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)))))) -1) |
(+.f64 -1 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (fma.f64 1/16 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) |
(+.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 x) (pow.f64 x 3)) (fma.f64 -1/8 (/.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x))) (fma.f64 1/2 (/.f64 (sqrt.f64 x) x) -1)) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2)) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 2) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2))) |
(/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)) |
(/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)) |
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1))) |
(fma.f64 -1/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (sqrt.f64 x)) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1))) |
(fma.f64 -1/2 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))) (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (/.f64 1/4 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3)) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (sqrt.f64 x)) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1))) (*.f64 -1/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 x))) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2))))) |
(+.f64 (fma.f64 -1/2 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1))) (-.f64 (/.f64 1/4 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3)) (*.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2))))) |
(+.f64 (fma.f64 -1/2 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1))) (+.f64 (/.f64 1/4 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3)) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1/8 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2))))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 x (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/4 (/.f64 x (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x)))) (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)) (sqrt.f64 x))) (*.f64 1/16 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x))))) (pow.f64 x 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1))))) (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (sqrt.f64 x)) (fma.f64 -1 (/.f64 (fma.f64 1/16 (/.f64 x (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3)) (fma.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 (-.f64 (*.f64 1/4 (/.f64 x (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3))) (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (sqrt.f64 x)))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1))) (*.f64 1/16 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (sqrt.f64 x))))) (*.f64 x x)) (+.f64 (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)) (/.f64 1/4 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3))))) (*.f64 1/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 x))) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)))) |
(+.f64 (fma.f64 -1/2 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (-.f64 (+.f64 (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)) (/.f64 1/4 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3))) (/.f64 (fma.f64 1/16 (/.f64 x (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 1/2 (/.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3)) (/.f64 (*.f64 1/8 (sqrt.f64 x)) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1))) (/.f64 1/16 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2))))) (*.f64 x x)))) (/.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 x))) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2))) |
(+.f64 (+.f64 (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)) (-.f64 (/.f64 1/4 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3)) (/.f64 (fma.f64 1/16 (/.f64 x (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3)) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 1/2 (/.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3)) (/.f64 (*.f64 (sqrt.f64 x) 1/8) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1))) (/.f64 1/16 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2))))) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1/8 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2))))) |
(/.f64 x (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)) |
(/.f64 x (expm1.f64 (*.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(/.f64 x (expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) |
(/.f64 x (+.f64 -1 (sqrt.f64 x))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 2))) (/.f64 x (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1))) |
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 (expm1.f64 (*.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) 2)) (/.f64 x (expm1.f64 (*.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) |
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(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) |
(expm1.f64 (*.f64 1/2 (log1p.f64 x))) |
Compiled 11 to 7 computations (36.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 0.0b | (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) 1) |
Compiled 40 to 33 computations (17.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) 1) |
| 0.0ms | x | @ | -inf | (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) 1) |
| 0.0ms | x | @ | 0 | (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) |
| 1× | batch-egg-rewrite |
| 621× | prod-diff_binary64 |
| 570× | unpow-prod-down_binary64 |
| 388× | fma-def_binary64 |
| 354× | log-prod_binary64 |
| 260× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 210 | 12 |
| 2 | 2872 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) 1) |
(+.f64 1 (+.f64 (*.f64 1/2 x) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/2 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 1/2 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/2 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 x 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 x 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 x 2) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 x 3) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/2 x 3)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) (cbrt.f64 (fma.f64 1/2 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/2 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (*.f64 1/2 x))) (/.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (-.f64 -1 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x 3)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) (cbrt.f64 (fma.f64 1/2 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x 3)) (sqrt.f64 (fma.f64 1/2 x 3)))))) 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egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) 1 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 x 2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 1 (fma.f64 1/2 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (-.f64 4 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 1/2 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (fma.f64 1/2 x 3)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/4 (*.f64 x x) -4) (/.f64 1 (fma.f64 1/2 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 x 1) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x 3))) 2) (cbrt.f64 (+.f64 1 (fma.f64 1/2 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 1/2 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) 3))))) |
| 1× | egg-herbie |
| 763× | fma-def_binary64 |
| 562× | unswap-sqr_binary64 |
| 374× | cancel-sign-sub-inv_binary64 |
| 328× | associate-/l*_binary64 |
| 259× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 346 | 2354 |
| 1 | 769 | 2204 |
| 2 | 2255 | 2118 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 1/2 x) 2) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
3 |
(+.f64 (*.f64 1/2 x) 3) |
(+.f64 (*.f64 1/2 x) 3) |
(+.f64 (*.f64 1/2 x) 3) |
(*.f64 1/2 x) |
(+.f64 3 (*.f64 1/2 x)) |
(+.f64 3 (*.f64 1/2 x)) |
(+.f64 3 (*.f64 1/2 x)) |
(*.f64 1/2 x) |
(+.f64 3 (*.f64 1/2 x)) |
(+.f64 3 (*.f64 1/2 x)) |
(+.f64 3 (*.f64 1/2 x)) |
(+.f64 1 (fma.f64 1/2 x 1)) |
(+.f64 1 (*.f64 (fma.f64 1/2 x 1) 1)) |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 (fma.f64 1/2 x 2) 0) |
(+.f64 (fma.f64 1/2 x 3) -1) |
(+.f64 0 (fma.f64 1/2 x 2)) |
(+.f64 -1 (fma.f64 1/2 x 3)) |
(+.f64 (fma.f64 1/2 x 1) 1) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 x 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 x 2))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 x 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 x 2))))) |
(*.f64 1 (fma.f64 1/2 x 2)) |
(*.f64 (fma.f64 1/2 x 2) 1) |
(*.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2))) |
(*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 1 (fma.f64 1/2 x 3))))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 1 (fma.f64 1/2 x 3)))) 1)) |
(*.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (-.f64 4 x)))) |
(*.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (pow.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (-.f64 4 x))) 1)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 1/2 x 3)))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (pow.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x 3))) 1)) |
(*.f64 (fma.f64 1/4 (*.f64 x x) -4) (/.f64 1 (fma.f64 1/2 x -2))) |
(*.f64 (fma.f64 1/4 (*.f64 x x) -4) (pow.f64 (/.f64 1 (fma.f64 1/2 x -2)) 1)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1)) |
(*.f64 (pow.f64 1 1/3) (fma.f64 1/2 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x 2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x 2))) 3)) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) 1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x 2))) 2) 3) (cbrt.f64 (fma.f64 1/2 x 2))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x 2)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (sqrt.f64 (fma.f64 1/2 x 2))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 x 2)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 1 (fma.f64 1/2 x 3))) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1))) |
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 1/2 x 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1))) |
(/.f64 1 (/.f64 (fma.f64 1/4 (*.f64 x x) (-.f64 4 x)) (fma.f64 1/8 (pow.f64 x 3) 8))) |
(/.f64 1 (/.f64 (fma.f64 1/2 x -2) (fma.f64 1/4 (*.f64 x x) -4))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 1 (fma.f64 1/2 x 3)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (-.f64 1 (*.f64 (fma.f64 1/2 x 3) -1)))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (fma.f64 1/4 (*.f64 x x) (-.f64 4 x))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (+.f64 4 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (+.f64 1 (fma.f64 1/2 x 3))) |
(/.f64 (fma.f64 1/4 (*.f64 x x) -4) (fma.f64 1/2 x -2)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 1 (fma.f64 1/2 x 3))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1)) (neg.f64 (+.f64 1 (fma.f64 1/2 x 3)))) |
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 3) 8)) (neg.f64 (fma.f64 1/4 (*.f64 x x) (-.f64 4 x)))) |
(/.f64 (neg.f64 (fma.f64 1/4 (*.f64 x x) -4)) (neg.f64 (fma.f64 1/2 x -2))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 1/2 x 1)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (-.f64 1 (fma.f64 1/2 x 1))) |
(/.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) (-.f64 2 (*.f64 1/2 x))) |
(pow.f64 (fma.f64 1/2 x 2) 1) |
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) 2) 1/2) |
(pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 3) |
(pow.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 2) |
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 1 (fma.f64 1/2 x 3))) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1)) -1) |
(pow.f64 (/.f64 (+.f64 1 (fma.f64 1/2 x 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1)) -1) |
(pow.f64 (/.f64 (fma.f64 1/4 (*.f64 x x) (-.f64 4 x)) (fma.f64 1/8 (pow.f64 x 3) 8)) -1) |
(pow.f64 (/.f64 (fma.f64 1/2 x -2) (fma.f64 1/4 (*.f64 x x) -4)) -1) |
(sqrt.f64 (pow.f64 (fma.f64 1/2 x 2) 2)) |
(log.f64 (exp.f64 (fma.f64 1/2 x 2))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x 2)))) |
(cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) 3)) |
(hypot.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (*.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 1)))) |
(expm1.f64 (log.f64 (fma.f64 1/2 x 3))) |
(expm1.f64 (*.f64 (log.f64 (fma.f64 1/2 x 3)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/2 x 2))) |
(exp.f64 (log1p.f64 (fma.f64 1/2 x 1))) |
(exp.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x 1)) 1)) |
(fma.f64 1 (*.f64 1/2 x) 2) |
(fma.f64 1 (fma.f64 1/2 x 2) 0) |
(fma.f64 1 (fma.f64 1/2 x 3) -1) |
(fma.f64 1 (fma.f64 1/2 x 1) 1) |
(fma.f64 1/2 x 2) |
(fma.f64 x 1/2 2) |
(fma.f64 (*.f64 1/2 x) 1 2) |
(fma.f64 (fma.f64 1/2 x 2) 1 0) |
(fma.f64 (fma.f64 1/2 x 3) 1 -1) |
(fma.f64 (cbrt.f64 (fma.f64 1/2 x 3)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) (cbrt.f64 (fma.f64 1/2 x 3)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 1) -1) |
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (*.f64 x x))) 2) |
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) 2) |
(fma.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) 0) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)) 0) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) 2) |
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 3)) (sqrt.f64 (fma.f64 1/2 x 3)) -1) |
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 3)) (*.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) -1) |
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) 2) |
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2)) 0) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) 2) |
(fma.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 1 (fma.f64 1/2 x 3)))) 0) |
(fma.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (-.f64 4 x))) 0) |
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 2) 3)) (/.f64 1 (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 1) 1)) -1) |
(fma.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 1/2 x 3))) 0) |
(fma.f64 (fma.f64 1/4 (*.f64 x x) -4) (/.f64 1 (fma.f64 1/2 x -2)) 0) |
(fma.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 2) 2)) (/.f64 1 (-.f64 -1 (*.f64 1/2 x))) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) 1) |
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) 1) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) 0) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) 1) |
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 2) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) 2) |
(-.f64 (+.f64 1 (fma.f64 1/2 x 3)) 1) |
(-.f64 (/.f64 1 (-.f64 -1 (*.f64 1/2 x))) (/.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (-.f64 -1 (*.f64 1/2 x)))) |
(*.f64 1 (fma.f64 1/2 x 3)) |
(*.f64 (fma.f64 1/2 x 3) 1) |
(*.f64 (cbrt.f64 (fma.f64 1/2 x 3)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) (cbrt.f64 (fma.f64 1/2 x 3))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 1) 1)) |
(*.f64 (sqrt.f64 (fma.f64 1/2 x 3)) (sqrt.f64 (fma.f64 1/2 x 3))) |
(*.f64 (sqrt.f64 (fma.f64 1/2 x 3)) (*.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1)) |
(*.f64 (sqrt.f64 (fma.f64 1/2 x 3)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) 1)) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 2) 3)) (/.f64 1 (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 1) 1))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 2) 3)) (pow.f64 (/.f64 1 (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 1) 1)) 1)) |
(*.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 2) 2)) (/.f64 1 (-.f64 -1 (*.f64 1/2 x)))) |
(*.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 2) 2)) (pow.f64 (/.f64 1 (-.f64 -1 (*.f64 1/2 x))) 1)) |
(*.f64 (pow.f64 1 1/3) (fma.f64 1/2 x 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x 3))) 2) 3) (cbrt.f64 (fma.f64 1/2 x 3))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x 3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x 3))) 3)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x 3)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (sqrt.f64 (fma.f64 1/2 x 3))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 x 3)))) |
(/.f64 1 (/.f64 (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 1) 1) (+.f64 1 (pow.f64 (fma.f64 1/2 x 2) 3)))) |
(/.f64 1 (/.f64 (-.f64 -1 (*.f64 1/2 x)) (-.f64 1 (pow.f64 (fma.f64 1/2 x 2) 2)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 1) 1)) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (-.f64 -1 (*.f64 1/2 x)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 2) 2)) (-.f64 -1 (*.f64 1/2 x))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 2) 3))) (neg.f64 (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 1) 1))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 2) 2))) (neg.f64 (-.f64 -1 (*.f64 1/2 x)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) 8) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 4 (*.f64 (fma.f64 1/2 x 1) 2)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 2) 2) 1) (fma.f64 1/2 x 1)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 4) (-.f64 (fma.f64 1/2 x 1) 2)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 2) 3)) 1) (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 1) 1)) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 2) 2)) 1) (-.f64 -1 (*.f64 1/2 x))) |
(pow.f64 (fma.f64 1/2 x 3) 1) |
(pow.f64 (pow.f64 (fma.f64 1/2 x 3) 2) 1/2) |
(pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 3) |
(pow.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 2) |
(pow.f64 (pow.f64 (fma.f64 1/2 x 3) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 1) 1) (+.f64 1 (pow.f64 (fma.f64 1/2 x 2) 3))) -1) |
(pow.f64 (/.f64 (-.f64 -1 (*.f64 1/2 x)) (-.f64 1 (pow.f64 (fma.f64 1/2 x 2) 2))) -1) |
(sqrt.f64 (pow.f64 (fma.f64 1/2 x 3) 2)) |
(log.f64 (exp.f64 (fma.f64 1/2 x 3))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x 3)))) |
(cbrt.f64 (pow.f64 (fma.f64 1/2 x 3) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/2 x 3))) |
(log1p.f64 (expm1.f64 (fma.f64 1/2 x 3))) |
(exp.f64 (log.f64 (fma.f64 1/2 x 3))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x 3)) 1)) |
(fma.f64 1 (*.f64 1/2 x) 3) |
(fma.f64 1 (fma.f64 1/2 x 2) 1) |
(fma.f64 1 (+.f64 1 (fma.f64 1/2 x 3)) -1) |
(fma.f64 1 (fma.f64 1/2 x 1) 2) |
(fma.f64 1/2 x 3) |
(fma.f64 x 1/2 3) |
(fma.f64 (*.f64 1/2 x) 1 3) |
(fma.f64 (fma.f64 1/2 x 2) 1 1) |
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (*.f64 x x))) 3) |
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) 3) |
(fma.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) 3) |
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) 3) |
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2)) 1) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) 3) |
(fma.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 1 (fma.f64 1/2 x 3)))) 1) |
(fma.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (-.f64 4 x))) 1) |
(fma.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 1/2 x 3))) 1) |
(fma.f64 (+.f64 1 (fma.f64 1/2 x 3)) 1 -1) |
(fma.f64 (fma.f64 1/4 (*.f64 x x) -4) (/.f64 1 (fma.f64 1/2 x -2)) 1) |
(fma.f64 (fma.f64 1/2 x 1) 1 2) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x 3))) 2) (cbrt.f64 (+.f64 1 (fma.f64 1/2 x 3))) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) 2) |
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 1/2 x 3))) -1) |
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) 2) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) 1) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) 2) |
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 3) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) 3) |
| Outputs |
|---|
2 |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
3 |
(+.f64 (*.f64 1/2 x) 3) |
(fma.f64 1/2 x 3) |
(+.f64 (*.f64 1/2 x) 3) |
(fma.f64 1/2 x 3) |
(+.f64 (*.f64 1/2 x) 3) |
(fma.f64 1/2 x 3) |
(*.f64 1/2 x) |
(+.f64 3 (*.f64 1/2 x)) |
(fma.f64 1/2 x 3) |
(+.f64 3 (*.f64 1/2 x)) |
(fma.f64 1/2 x 3) |
(+.f64 3 (*.f64 1/2 x)) |
(fma.f64 1/2 x 3) |
(*.f64 1/2 x) |
(+.f64 3 (*.f64 1/2 x)) |
(fma.f64 1/2 x 3) |
(+.f64 3 (*.f64 1/2 x)) |
(fma.f64 1/2 x 3) |
(+.f64 3 (*.f64 1/2 x)) |
(fma.f64 1/2 x 3) |
(+.f64 1 (fma.f64 1/2 x 1)) |
(fma.f64 1/2 x 2) |
(+.f64 1 (*.f64 (fma.f64 1/2 x 1) 1)) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 (fma.f64 1/2 x 2) 0) |
(fma.f64 1/2 x 2) |
(+.f64 (fma.f64 1/2 x 3) -1) |
(fma.f64 1/2 x 2) |
(+.f64 0 (fma.f64 1/2 x 2)) |
(fma.f64 1/2 x 2) |
(+.f64 -1 (fma.f64 1/2 x 3)) |
(fma.f64 1/2 x 2) |
(+.f64 (fma.f64 1/2 x 1) 1) |
(fma.f64 1/2 x 2) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 x 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 x 2))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 x 2))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 x 2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 x 2))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 x 2))))) |
(*.f64 1 (fma.f64 1/2 x 2)) |
(fma.f64 1/2 x 2) |
(*.f64 (fma.f64 1/2 x 2) 1) |
(fma.f64 1/2 x 2) |
(*.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) |
(fma.f64 1/2 x 2) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2))) |
(fma.f64 1/2 x 2) |
(*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2))) |
(fma.f64 1/2 x 2) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 1 (fma.f64 1/2 x 3))))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 1 (fma.f64 1/2 x 3))))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 (*.f64 1/2 x) 4))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 3) (fma.f64 1/2 x 4)))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 1 (fma.f64 1/2 x 3)))) 1)) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 1 (fma.f64 1/2 x 3))))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 (*.f64 1/2 x) 4))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 3) (fma.f64 1/2 x 4)))) |
(*.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (-.f64 4 x)))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (fma.f64 1/4 (*.f64 x x) (-.f64 4 x))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (fma.f64 x (fma.f64 x 1/4 -1) 4)) |
(*.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (pow.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (-.f64 4 x))) 1)) |
(*.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (-.f64 4 x)))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (fma.f64 1/4 (*.f64 x x) (-.f64 4 x))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (fma.f64 x (fma.f64 x 1/4 -1) 4)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 1/2 x 3)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 2)) (/.f64 1 (+.f64 1 (fma.f64 1/2 x 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 2)) (+.f64 (*.f64 1/2 x) 4)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 2)) (fma.f64 1/2 x 4)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (pow.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x 3))) 1)) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 2)) (/.f64 1 (+.f64 1 (fma.f64 1/2 x 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 2)) (+.f64 (*.f64 1/2 x) 4)) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 2)) (fma.f64 1/2 x 4)) |
(*.f64 (fma.f64 1/4 (*.f64 x x) -4) (/.f64 1 (fma.f64 1/2 x -2))) |
(/.f64 (fma.f64 1/4 (*.f64 x x) -4) (fma.f64 1/2 x -2)) |
(/.f64 (fma.f64 x (*.f64 x 1/4) -4) (fma.f64 1/2 x -2)) |
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(fma.f64 1/2 x 2) |
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) 1) |
(fma.f64 1/2 x 2) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) 0) |
(fma.f64 1/2 x 2) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) 1) |
(fma.f64 1/2 x 2) |
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 2) |
(fma.f64 1/2 x 2) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) 2) |
(fma.f64 1/2 x 2) |
(-.f64 (+.f64 1 (fma.f64 1/2 x 3)) 1) |
(fma.f64 1/2 x 3) |
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(fma.f64 1/2 x 3) |
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(fma.f64 1/2 x 3) |
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(+.f64 1 (/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (fma.f64 1/4 (*.f64 x x) (-.f64 4 x)))) |
(+.f64 1 (/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (fma.f64 x (fma.f64 x 1/4 -1) 4))) |
(fma.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 1/2 x 3))) 1) |
(fma.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 2)) (/.f64 1 (+.f64 1 (fma.f64 1/2 x 3))) 1) |
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 2)) (+.f64 (*.f64 1/2 x) 4))) |
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 2)) (fma.f64 1/2 x 4))) |
(fma.f64 (+.f64 1 (fma.f64 1/2 x 3)) 1 -1) |
(fma.f64 1/2 x 3) |
(fma.f64 (fma.f64 1/4 (*.f64 x x) -4) (/.f64 1 (fma.f64 1/2 x -2)) 1) |
(+.f64 1 (/.f64 (fma.f64 1/4 (*.f64 x x) -4) (fma.f64 1/2 x -2))) |
(+.f64 1 (/.f64 (fma.f64 x (*.f64 x 1/4) -4) (fma.f64 1/2 x -2))) |
(fma.f64 (fma.f64 1/2 x 1) 1 2) |
(fma.f64 1/2 x 3) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x 3))) 2) (cbrt.f64 (+.f64 1 (fma.f64 1/2 x 3))) -1) |
(fma.f64 1/2 x 3) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) 2) |
(fma.f64 1/2 x 3) |
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 1/2 x 3))) -1) |
(fma.f64 1/2 x 3) |
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) 2) |
(fma.f64 1/2 x 3) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) 1) |
(fma.f64 1/2 x 3) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) 2) |
(fma.f64 1/2 x 3) |
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 3) |
(fma.f64 1/2 x 3) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) 3) |
(fma.f64 1/2 x 3) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (+.f64 x 1)) | |
| 3.0b | (-.f64 (sqrt.f64 (+.f64 x 1)) 1) |
Compiled 16 to 12 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (*.f64 x x) (+.f64 (*.f64 1/16 x) -1/8)) |
Compiled 37 to 23 computations (37.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (+.f64 (*.f64 1/16 x) -1/8)) |
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 x x) (+.f64 (*.f64 1/16 x) -1/8)) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 x x) (+.f64 (*.f64 1/16 x) -1/8)) |
| 1× | batch-egg-rewrite |
| 886× | pow1_binary64 |
| 834× | add-log-exp_binary64 |
| 834× | log1p-expm1-u_binary64 |
| 834× | expm1-log1p-u_binary64 |
| 817× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 182 | 11 |
| 2 | 2342 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/16 x) -1/8)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) -1/8) (*.f64 1/16 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 (*.f64 x x) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/16 (pow.f64 x 3)) 1) (*.f64 (*.f64 (*.f64 x x) -1/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/16 (pow.f64 x 3)) 3) (pow.f64 (*.f64 (*.f64 x x) -1/8) 3)) (+.f64 (*.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/8) (*.f64 (*.f64 x x) -1/8)) (*.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 (*.f64 x x) -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (*.f64 (*.f64 x x) -1/8) (*.f64 (*.f64 x x) -1/8))) (-.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 (*.f64 x x) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/256) (-.f64 1/64 (*.f64 x -1/128))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/256) -1/64) (*.f64 x x)) (fma.f64 x 1/16 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096))) (+.f64 (*.f64 (*.f64 x x) 1/256) (-.f64 1/64 (*.f64 x -1/128))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/256) -1/64)) (fma.f64 x 1/16 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x 1/16 -1/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1/16 -1/8) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x 1/16 -1/8) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/16 -1/8) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x 1/16) (*.f64 (*.f64 x x) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/16) (*.f64 x x) (*.f64 (*.f64 x x) -1/8)))))) |
| 1× | egg-herbie |
| 336× | log-prod_binary64 |
| 330× | fma-neg_binary64 |
| 295× | fma-def_binary64 |
| 268× | cancel-sign-sub-inv_binary64 |
| 267× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 580 |
| 1 | 286 | 477 |
| 2 | 1093 | 473 |
| 3 | 3979 | 467 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/8 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(*.f64 1/16 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(*.f64 1/16 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(+.f64 (*.f64 (*.f64 x x) -1/8) (*.f64 1/16 (pow.f64 x 3))) |
(+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 (*.f64 x x) -1/8)) |
(+.f64 (*.f64 (*.f64 1/16 (pow.f64 x 3)) 1) (*.f64 (*.f64 (*.f64 x x) -1/8) 1)) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8))) 1) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/16 (pow.f64 x 3)) 3) (pow.f64 (*.f64 (*.f64 x x) -1/8) 3)) (+.f64 (*.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/8) (*.f64 (*.f64 x x) -1/8)) (*.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 (*.f64 x x) -1/8))))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (*.f64 (*.f64 x x) -1/8) (*.f64 (*.f64 x x) -1/8))) (-.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 (*.f64 x x) -1/8))) |
(/.f64 (*.f64 (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/256) (-.f64 1/64 (*.f64 x -1/128)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/256) -1/64) (*.f64 x x)) (fma.f64 x 1/16 1/8)) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096))) (+.f64 (*.f64 (*.f64 x x) 1/256) (-.f64 1/64 (*.f64 x -1/128)))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/256) -1/64)) (fma.f64 x 1/16 1/8)) |
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) 1) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8))) 3) |
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x 1/16 -1/8))) 2) |
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1/16 -1/8) 2))) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x 1/16 -1/8) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/16 -1/8) 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)))) |
(fma.f64 (*.f64 x x) (*.f64 x 1/16) (*.f64 (*.f64 x x) -1/8)) |
(fma.f64 (*.f64 x 1/16) (*.f64 x x) (*.f64 (*.f64 x x) -1/8)) |
| Outputs |
|---|
(*.f64 -1/8 (pow.f64 x 2)) |
(*.f64 -1/8 (*.f64 x x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(*.f64 1/16 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(*.f64 1/16 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(+.f64 (*.f64 (*.f64 x x) -1/8) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 (*.f64 x x) -1/8)) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(+.f64 (*.f64 (*.f64 1/16 (pow.f64 x 3)) 1) (*.f64 (*.f64 (*.f64 x x) -1/8) 1)) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8))) 1) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/16 (pow.f64 x 3)) 3) (pow.f64 (*.f64 (*.f64 x x) -1/8) 3)) (+.f64 (*.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/8) (*.f64 (*.f64 x x) -1/8)) (*.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 (*.f64 x x) -1/8))))) |
(/.f64 (+.f64 (*.f64 1/4096 (pow.f64 (pow.f64 x 3) 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) (+.f64 (*.f64 1/256 (pow.f64 (*.f64 x x) 3)) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (*.f64 x x)))))) |
(/.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 x 3) 3) (*.f64 -1/512 (pow.f64 x 6))) (fma.f64 1/256 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 -1/16 (*.f64 (pow.f64 x 4) (*.f64 -1/8 x)))))) |
(/.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 x 3) 3) (*.f64 -1/512 (pow.f64 x 6))) (fma.f64 1/64 (pow.f64 x 4) (fma.f64 -1/16 (*.f64 (pow.f64 x 4) (*.f64 -1/8 x)) (*.f64 1/256 (pow.f64 x 6))))) |
(/.f64 (*.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) 1/4096 -1/512)) (fma.f64 1/64 (pow.f64 x 4) (fma.f64 -1/16 (*.f64 -1/8 (pow.f64 x 5)) (*.f64 1/256 (pow.f64 x 6))))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (*.f64 (*.f64 x x) -1/8) (*.f64 (*.f64 x x) -1/8))) (-.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 (*.f64 x x) -1/8))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(/.f64 (*.f64 (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/256) (-.f64 1/64 (*.f64 x -1/128)))) |
(/.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) 1/256 (-.f64 1/64 (*.f64 x -1/128))) (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)))) |
(*.f64 (/.f64 (*.f64 x x) (+.f64 (fma.f64 x (*.f64 x 1/256) 1/64) (*.f64 x 1/128))) (fma.f64 (pow.f64 x 3) 1/4096 -1/512)) |
(*.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/256) (fma.f64 x 1/128 1/64)))) |
(*.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (/.f64 x (/.f64 (fma.f64 x (*.f64 x 1/256) (fma.f64 x 1/128 1/64)) x))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/256) -1/64) (*.f64 x x)) (fma.f64 x 1/16 1/8)) |
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x 1/16 1/8) (fma.f64 (*.f64 x x) 1/256 -1/64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x 1/256) -1/64) (fma.f64 x 1/16 1/8)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x 1/256) -1/64) (fma.f64 x 1/16 1/8))) |
(/.f64 x (/.f64 (/.f64 (fma.f64 x 1/16 1/8) (fma.f64 x (*.f64 x 1/256) -1/64)) x)) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096))) (+.f64 (*.f64 (*.f64 x x) 1/256) (-.f64 1/64 (*.f64 x -1/128)))) |
(/.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) 1/256 (-.f64 1/64 (*.f64 x -1/128))) (+.f64 -1/512 (*.f64 (pow.f64 x 3) 1/4096)))) |
(*.f64 (/.f64 (*.f64 x x) (+.f64 (fma.f64 x (*.f64 x 1/256) 1/64) (*.f64 x 1/128))) (fma.f64 (pow.f64 x 3) 1/4096 -1/512)) |
(*.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/256) (fma.f64 x 1/128 1/64)))) |
(*.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) (/.f64 x (/.f64 (fma.f64 x (*.f64 x 1/256) (fma.f64 x 1/128 1/64)) x))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/256) -1/64)) (fma.f64 x 1/16 1/8)) |
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x 1/16 1/8) (fma.f64 (*.f64 x x) 1/256 -1/64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x 1/256) -1/64) (fma.f64 x 1/16 1/8)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x 1/256) -1/64) (fma.f64 x 1/16 1/8))) |
(/.f64 x (/.f64 (/.f64 (fma.f64 x 1/16 1/8) (fma.f64 x (*.f64 x 1/256) -1/64)) x)) |
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) 1) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) 3) 1/3) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8))) 3) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x 1/16 -1/8))) 2) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1/16 -1/8) 2))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x 1/16 -1/8)))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) 3)) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x 1/16 -1/8) 3))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/16 -1/8) 3) (pow.f64 (*.f64 x x) 3))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(fma.f64 (*.f64 x x) (*.f64 x 1/16) (*.f64 (*.f64 x x) -1/8)) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
(fma.f64 (*.f64 x 1/16) (*.f64 x x) (*.f64 (*.f64 x x) -1/8)) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 -1/8 (*.f64 x x))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8)) |
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) |
Compiled 11219 to 8628 computations (23.1% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 575 | 4 | 579 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 6 | 8 |
| Total | 578 | 11 | 589 |
| Status | Error | Program |
|---|---|---|
| ✓ | 23.2b | (fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/16 x) -1/8))) |
| ▶ | 30.3b | (/.f64 (*.f64 x x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
| ▶ | 22.6b | (/.f64 x (/.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) (-.f64 2 (*.f64 1/2 x)))) |
| ▶ | 22.2b | (/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) |
| ✓ | 22.2b | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 22.2b | (/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
| ✓ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 60.9b | (/.f64 x (*.f64 1/2 x)) |
| ✓ | 22.8b | (/.f64 x 2) |
| ✓ | 36.9b | (-.f64 (sqrt.f64 (+.f64 x 1)) 1) |
| ▶ | 1.9b | (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
Compiled 102 to 77 computations (24.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.9b | (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
Compiled 14 to 8 computations (42.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 1/2 x) 3) 1) |
Compiled 29 to 23 computations (20.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 (*.f64 1/2 x) 3) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 (*.f64 1/2 x) 3) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 (*.f64 1/2 x) 3) 1) |
| 1× | batch-egg-rewrite |
| 880× | pow1_binary64 |
| 826× | add-log-exp_binary64 |
| 824× | log1p-expm1-u_binary64 |
| 824× | expm1-log1p-u_binary64 |
| 814× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 7 |
| 1 | 180 | 5 |
| 2 | 2215 | 5 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 1/2 x) 3) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (-.f64 (*.f64 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (+.f64 (*.f64 1/2 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/2 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 (*.f64 1/2 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (/.f64 1 (+.f64 (*.f64 1/2 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 (*.f64 1/2 x) 4)) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 4) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 (*.f64 1/2 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (-.f64 1 (*.f64 (fma.f64 1/2 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (+.f64 (*.f64 1/2 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (-.f64 (fma.f64 1/2 x 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 (*.f64 1/2 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1)) (neg.f64 (+.f64 (*.f64 1/2 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) 8) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 4 (*.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 4) (-.f64 (*.f64 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (fma.f64 1/2 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) (cbrt.f64 (fma.f64 1/2 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x 3)) (sqrt.f64 (fma.f64 1/2 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) 2))))) |
| 1× | egg-herbie |
| 562× | fma-neg_binary64 |
| 512× | cancel-sign-sub-inv_binary64 |
| 367× | associate-*l*_binary64 |
| 348× | associate-*r*_binary64 |
| 322× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 430 |
| 1 | 244 | 412 |
| 2 | 721 | 409 |
| 3 | 4440 | 399 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 1/2 x) 2) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 3 (-.f64 (*.f64 1/2 x) 1)) |
(+.f64 3 (+.f64 (*.f64 1/2 x) -1)) |
(+.f64 (fma.f64 1/2 x 3) -1) |
(+.f64 -1 (fma.f64 1/2 x 3)) |
(+.f64 2 (*.f64 1/2 x)) |
(*.f64 1 (fma.f64 1/2 x 2)) |
(*.f64 (fma.f64 1/2 x 2) 1) |
(*.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2))) |
(*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 (*.f64 1/2 x) 4)))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (/.f64 1 (+.f64 (*.f64 1/2 x) 4))) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 (*.f64 1/2 x) 4)) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 4) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 (*.f64 1/2 x) 4))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (-.f64 1 (*.f64 (fma.f64 1/2 x 3) -1)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (+.f64 (*.f64 1/2 x) 4)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (-.f64 (fma.f64 1/2 x 3) -1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 (*.f64 1/2 x) 4)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1)) (neg.f64 (+.f64 (*.f64 1/2 x) 4))) |
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) 8) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 4 (*.f64 (*.f64 1/2 x) 2)))) |
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 4) (-.f64 (*.f64 1/2 x) 2)) |
(pow.f64 (fma.f64 1/2 x 2) 1) |
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 3) |
(pow.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 2) |
(sqrt.f64 (pow.f64 (fma.f64 1/2 x 2) 2)) |
(log.f64 (exp.f64 (fma.f64 1/2 x 2))) |
(cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) 3)) |
(expm1.f64 (log.f64 (fma.f64 1/2 x 3))) |
(log1p.f64 (expm1.f64 (fma.f64 1/2 x 2))) |
(exp.f64 (log.f64 (fma.f64 1/2 x 2))) |
(fma.f64 1/2 x 2) |
(fma.f64 x 1/2 2) |
(fma.f64 1 (*.f64 1/2 x) 2) |
(fma.f64 1 (fma.f64 1/2 x 3) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) (cbrt.f64 (fma.f64 1/2 x 3)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) 2) |
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 3)) (sqrt.f64 (fma.f64 1/2 x 3)) -1) |
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) 2) |
| Outputs |
|---|
2 |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 3 (-.f64 (*.f64 1/2 x) 1)) |
(fma.f64 1/2 x 2) |
(+.f64 3 (+.f64 (*.f64 1/2 x) -1)) |
(fma.f64 1/2 x 2) |
(+.f64 (fma.f64 1/2 x 3) -1) |
(fma.f64 1/2 x 2) |
(+.f64 -1 (fma.f64 1/2 x 3)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(*.f64 1 (fma.f64 1/2 x 2)) |
(fma.f64 1/2 x 2) |
(*.f64 (fma.f64 1/2 x 2) 1) |
(fma.f64 1/2 x 2) |
(*.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) |
(fma.f64 1/2 x 2) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2))) |
(fma.f64 1/2 x 2) |
(*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2))) |
(fma.f64 1/2 x 2) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 (*.f64 1/2 x) 4)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (fma.f64 1/2 x 4)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (fma.f64 1/2 x 4))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 3) (fma.f64 1/2 x 4)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (fma.f64 (fma.f64 1/2 x 3) (fma.f64 1/2 x 4) 1)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (/.f64 1 (+.f64 (*.f64 1/2 x) 4))) |
(fma.f64 1/2 x 2) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 3)) 1)) |
(fma.f64 1/2 x 2) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 (*.f64 1/2 x) 4)) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (fma.f64 1/2 x 4)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (fma.f64 1/2 x 4))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 3) (fma.f64 1/2 x 4)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (fma.f64 (fma.f64 1/2 x 3) (fma.f64 1/2 x 4) 1)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 4) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1))) |
(fma.f64 1/2 x 2) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 (*.f64 1/2 x) 4))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (fma.f64 1/2 x 4)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (fma.f64 1/2 x 4))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 3) (fma.f64 1/2 x 4)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (fma.f64 (fma.f64 1/2 x 3) (fma.f64 1/2 x 4) 1)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (-.f64 1 (*.f64 (fma.f64 1/2 x 3) -1)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (fma.f64 1/2 x 4)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (fma.f64 1/2 x 4))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 3) (fma.f64 1/2 x 4)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (fma.f64 (fma.f64 1/2 x 3) (fma.f64 1/2 x 4) 1)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (+.f64 (*.f64 1/2 x) 4)) |
(fma.f64 1/2 x 2) |
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1) (-.f64 (fma.f64 1/2 x 3) -1)) |
(fma.f64 1/2 x 2) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (+.f64 (*.f64 1/2 x) 4)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (fma.f64 1/2 x 4)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) (fma.f64 1/2 x 4))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 3) (fma.f64 1/2 x 4)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 3) 3)) (fma.f64 (fma.f64 1/2 x 3) (fma.f64 1/2 x 4) 1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 3) 2) -1)) (neg.f64 (+.f64 (*.f64 1/2 x) 4))) |
(fma.f64 1/2 x 2) |
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) 8) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 4 (*.f64 (*.f64 1/2 x) 2)))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (fma.f64 1/4 (*.f64 x x) (-.f64 4 (*.f64 2 (*.f64 1/2 x))))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (-.f64 (fma.f64 1/4 (*.f64 x x) 4) (*.f64 x 1))) |
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (-.f64 (fma.f64 1/4 (*.f64 x x) 4) x)) |
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 4) (-.f64 (*.f64 1/2 x) 2)) |
(/.f64 (fma.f64 1/4 (*.f64 x x) -4) (fma.f64 1/2 x -2)) |
(/.f64 (fma.f64 x (*.f64 x 1/4) -4) (fma.f64 1/2 x -2)) |
(pow.f64 (fma.f64 1/2 x 2) 1) |
(fma.f64 1/2 x 2) |
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) 1/3) |
(fma.f64 1/2 x 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 3) |
(fma.f64 1/2 x 2) |
(pow.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 2) |
(fma.f64 1/2 x 2) |
(sqrt.f64 (pow.f64 (fma.f64 1/2 x 2) 2)) |
(fma.f64 1/2 x 2) |
(log.f64 (exp.f64 (fma.f64 1/2 x 2))) |
(fma.f64 1/2 x 2) |
(cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) 3)) |
(fma.f64 1/2 x 2) |
(expm1.f64 (log.f64 (fma.f64 1/2 x 3))) |
(log1p.f64 (expm1.f64 (fma.f64 1/2 x 2))) |
(fma.f64 1/2 x 2) |
(exp.f64 (log.f64 (fma.f64 1/2 x 2))) |
(fma.f64 1/2 x 2) |
(fma.f64 1/2 x 2) |
(fma.f64 x 1/2 2) |
(fma.f64 1/2 x 2) |
(fma.f64 1 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(fma.f64 1 (fma.f64 1/2 x 3) -1) |
(fma.f64 1/2 x 2) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 3)) 2) (cbrt.f64 (fma.f64 1/2 x 3)) -1) |
(fma.f64 1/2 x 2) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) 2) |
(fma.f64 1/2 x 2) |
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 3)) (sqrt.f64 (fma.f64 1/2 x 3)) -1) |
(fma.f64 1/2 x 2) |
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) 2) |
(fma.f64 1/2 x 2) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 1/4 (*.f64 x x)) |
| ✓ | 11.9b | (/.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) (-.f64 2 (*.f64 1/2 x))) |
Compiled 57 to 37 computations (35.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) (-.f64 2 (*.f64 1/2 x))) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) (-.f64 2 (*.f64 1/2 x))) |
| 0.0ms | x | @ | inf | (*.f64 1/4 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) (-.f64 2 (*.f64 1/2 x))) |
| 0.0ms | x | @ | 0 | (*.f64 1/4 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 691× | prod-diff_binary64 |
| 610× | log-prod_binary64 |
| 252× | fma-def_binary64 |
| 220× | pow1/3_binary64 |
| 220× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 280 | 14 |
| 2 | 3790 | 12 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) (-.f64 2 (*.f64 1/2 x))) |
(*.f64 1/4 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/2 2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) (sqrt.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)))) (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/2 2) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 2)))) (/.f64 1/4 (sqrt.f64 (fma.f64 x -1/2 2))) (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/2 2) (fma.f64 (neg.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 x -1/2 2)))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 2))) (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/2 2) (fma.f64 (neg.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 x -1/2 2)))) (/.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 x -1/2 2))) (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (fma.f64 x -1/2 2)) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 1/2 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 4 (/.f64 1 (fma.f64 x -1/2 2)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))) 1/4 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 4 (fma.f64 x -1/2 2)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))) 1/4 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (cbrt.f64 (/.f64 4 (fma.f64 x -1/2 2)))) (cbrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))) 1/4 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (sqrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))) 1/4 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 4 (-.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 (fma.f64 1/4 (*.f64 x x) 4) x) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))) 1/4 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 4 (fma.f64 (*.f64 x x) -1/4 4)) (fma.f64 x 1/2 2) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 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| 1× | egg-herbie |
| 283× | cancel-sign-sub-inv_binary64 |
| 273× | unswap-sqr_binary64 |
| 241× | fma-neg_binary64 |
| 239× | distribute-rgt-neg-in_binary64 |
| 219× | distribute-neg-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 553 | 11210 |
| 1 | 1402 | 7969 |
| 2 | 4714 | 5190 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 1/2 x) 2) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (pow.f64 x 2)) |
(+.f64 2 (*.f64 x 1/2)) |
(+.f64 (*.f64 x 1/2) 2) |
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(-.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 2))) 1) |
(*.f64 (fma.f64 (*.f64 x x) -1/4 4) (/.f64 1 (fma.f64 x -1/2 2))) |
(*.f64 (fma.f64 x 1/2 2) 1) |
(*.f64 1 (fma.f64 x 1/2 2)) |
(*.f64 (cbrt.f64 (fma.f64 x 1/2 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (/.f64 1 (fma.f64 x -1/2 2)))) |
(*.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (/.f64 1 (fma.f64 x -1/2 2)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/4 4)) (/.f64 1 (neg.f64 (fma.f64 x -1/2 2)))) |
(*.f64 (/.f64 1 (fma.f64 x -1/2 2)) (fma.f64 (*.f64 x x) -1/4 4)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (fma.f64 x -1/2 2))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (fma.f64 x -1/2 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 2)) 2)) (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (cbrt.f64 (fma.f64 x -1/2 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) 2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 2)) 2)) (cbrt.f64 (fma.f64 x 1/2 2))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 2)) 2)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (cbrt.f64 (fma.f64 x -1/2 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -1/2 2))) (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (sqrt.f64 (fma.f64 x -1/2 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) 2) (sqrt.f64 (fma.f64 x -1/2 2))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (sqrt.f64 (fma.f64 x -1/2 2)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (-.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 (fma.f64 1/4 (*.f64 x x) 4) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 (*.f64 x x) -1/4 4)) (fma.f64 x 1/2 2)) |
(pow.f64 (fma.f64 x 1/2 2) 1) |
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 3) |
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 2) |
(pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) -1) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/4 4) 3) (pow.f64 (fma.f64 x -1/2 2) 3)) 1/3) |
(pow.f64 (/.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1) -1) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (neg.f64 (fma.f64 x -1/2 2)))) |
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) 2)) |
(log.f64 (exp.f64 (fma.f64 x 1/2 2))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 2)))) |
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/4 4) 3) (pow.f64 (fma.f64 x -1/2 2) 3))) |
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 2))) |
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 2))) |
(exp.f64 (log.f64 (fma.f64 x 1/2 2))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1)) |
(fma.f64 4 (/.f64 1 (fma.f64 x -1/2 2)) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(fma.f64 x 1/2 2) |
(fma.f64 1/2 x 2) |
(fma.f64 (*.f64 x 1/2) 1 2) |
(fma.f64 1 (*.f64 x 1/2) 2) |
(fma.f64 1 (/.f64 4 (fma.f64 x -1/2 2)) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) 2) |
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 2) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) 2) |
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) 2) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) 2) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (cbrt.f64 (/.f64 4 (fma.f64 x -1/2 2)))) (cbrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(fma.f64 (sqrt.f64 (*.f64 1/4 x)) (sqrt.f64 x) 2) |
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 2) |
(fma.f64 (sqrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (sqrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(fma.f64 (/.f64 4 (-.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 (fma.f64 1/4 (*.f64 x x) 4) x) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(fma.f64 (/.f64 4 (fma.f64 (*.f64 x x) -1/4 4)) (fma.f64 x 1/2 2) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 2) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) 2) |
(+.f64 0 (*.f64 1/4 (*.f64 x x))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (*.f64 x x)))) 1) |
(pow.f64 (*.f64 1/4 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x 1/2) 2) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 3) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/64) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/16)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (*.f64 x x))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/64)) |
(expm1.f64 (log1p.f64 (*.f64 1/4 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 1/4 (*.f64 x x)))) |
(exp.f64 (*.f64 2 (log.f64 (*.f64 x 1/2)))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 1/2))) 1)) |
| Outputs |
|---|
2 |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 1/2 x) 2) |
(fma.f64 1/2 x 2) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(+.f64 2 (*.f64 1/2 x)) |
(fma.f64 1/2 x 2) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(+.f64 2 (*.f64 x 1/2)) |
(fma.f64 1/2 x 2) |
(+.f64 (*.f64 x 1/2) 2) |
(fma.f64 1/2 x 2) |
(+.f64 (fma.f64 x 1/2 2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) (sqrt.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)))) (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(fma.f64 1/2 x 2) |
(+.f64 (fma.f64 x 1/2 2) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 2)))) (/.f64 1/4 (sqrt.f64 (fma.f64 x -1/2 2))) (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(+.f64 (fma.f64 1/2 x 2) (fma.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (fma.f64 x -1/2 2))) (/.f64 1/4 (sqrt.f64 (fma.f64 x -1/2 2))) (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 x -1/2 2)))) |
(+.f64 (fma.f64 1/2 x 2) (fma.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (fma.f64 x -1/2 2))) (/.f64 1/4 (sqrt.f64 (fma.f64 x -1/2 2))) (*.f64 x (*.f64 x (/.f64 1/4 (fma.f64 x -1/2 2)))))) |
(+.f64 (fma.f64 1/2 x 2) (fma.f64 (/.f64 -1/4 (sqrt.f64 (fma.f64 x -1/2 2))) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 x -1/2 2))) x) (*.f64 (*.f64 x x) (/.f64 1/4 (fma.f64 x -1/2 2))))) |
(+.f64 (fma.f64 x 1/2 2) (fma.f64 (neg.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 x -1/2 2)))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 2))) (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(+.f64 (fma.f64 1/2 x 2) (fma.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (fma.f64 x -1/2 2))) (/.f64 1/4 (sqrt.f64 (fma.f64 x -1/2 2))) (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 x -1/2 2)))) |
(+.f64 (fma.f64 1/2 x 2) (fma.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (fma.f64 x -1/2 2))) (/.f64 1/4 (sqrt.f64 (fma.f64 x -1/2 2))) (*.f64 x (*.f64 x (/.f64 1/4 (fma.f64 x -1/2 2)))))) |
(+.f64 (fma.f64 1/2 x 2) (fma.f64 (/.f64 -1/4 (sqrt.f64 (fma.f64 x -1/2 2))) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 x -1/2 2))) x) (*.f64 (*.f64 x x) (/.f64 1/4 (fma.f64 x -1/2 2))))) |
(+.f64 (fma.f64 x 1/2 2) (fma.f64 (neg.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 x -1/2 2)))) (/.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 x -1/2 2))) (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(+.f64 (fma.f64 1/2 x 2) (fma.f64 (/.f64 (neg.f64 (*.f64 1/2 x)) (sqrt.f64 (fma.f64 x -1/2 2))) (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x -1/2 2)) 1/2)) (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 x -1/2 2)))) |
(+.f64 (fma.f64 1/2 x 2) (fma.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (fma.f64 x -1/2 2))) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 x -1/2 2))) 1/2) (*.f64 x (*.f64 x (/.f64 1/4 (fma.f64 x -1/2 2)))))) |
(+.f64 (-.f64 (fma.f64 1/2 x 2) (*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 x -1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x -1/2 2)))) 1/4)) (*.f64 (*.f64 x x) (/.f64 1/4 (fma.f64 x -1/2 2)))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(+.f64 0 (fma.f64 x 1/2 2)) |
(fma.f64 1/2 x 2) |
(+.f64 (fma.f64 4 (/.f64 1 (fma.f64 x -1/2 2)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))) 1/4 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(+.f64 (fma.f64 1 (/.f64 4 (fma.f64 x -1/2 2)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))) 1/4 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (cbrt.f64 (/.f64 4 (fma.f64 x -1/2 2)))) (cbrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))) 1/4 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (sqrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))) 1/4 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(+.f64 (fma.f64 (/.f64 4 (-.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 (fma.f64 1/4 (*.f64 x x) 4) x) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))) 1/4 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) |
(+.f64 (fma.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x) (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 x -1/2 2))) (fma.f64 (/.f64 4 (+.f64 8 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 x (fma.f64 1/4 (*.f64 x x) 4)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 x -1/2 2) x)) 0) (fma.f64 (/.f64 4 (-.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 x (fma.f64 (*.f64 x 1/4) x 4)) (*.f64 (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) x) x))) |
(fma.f64 (/.f64 4 (+.f64 8 (*.f64 (pow.f64 x 3) -1/8))) (+.f64 x (fma.f64 1/4 (*.f64 x x) 4)) (*.f64 (*.f64 x x) (/.f64 -1/4 (fma.f64 x -1/2 2)))) |
(+.f64 (fma.f64 (/.f64 4 (fma.f64 (*.f64 x x) -1/4 4)) (fma.f64 x 1/2 2) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))) 1/4 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2)) 1/4))) |
(+.f64 (fma.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x) (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 x -1/2 2))) (fma.f64 (/.f64 4 (fma.f64 (*.f64 x x) -1/4 4)) (fma.f64 1/2 x 2) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x)))) |
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(*.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2))) |
(fma.f64 1/2 x 2) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (/.f64 1 (fma.f64 x -1/2 2)))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) -1/4 4)) (/.f64 1 (neg.f64 (fma.f64 x -1/2 2)))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(*.f64 (/.f64 1 (fma.f64 x -1/2 2)) (fma.f64 (*.f64 x x) -1/4 4)) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (fma.f64 x -1/2 2))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (fma.f64 x -1/2 2))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 2)) 2)) (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (cbrt.f64 (fma.f64 x -1/2 2)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (cbrt.f64 (fma.f64 x -1/2 2))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 2)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) 2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 2)) 2)) (cbrt.f64 (fma.f64 x 1/2 2))) |
(*.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) 2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 2)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 2)) 2)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (cbrt.f64 (fma.f64 x -1/2 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 2)) 2)) (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (cbrt.f64 (fma.f64 x -1/2 2)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (cbrt.f64 (fma.f64 x -1/2 2))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 2)) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -1/2 2))) (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (sqrt.f64 (fma.f64 x -1/2 2)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (sqrt.f64 (fma.f64 x -1/2 2))) (sqrt.f64 (fma.f64 x -1/2 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) 2) (sqrt.f64 (fma.f64 x -1/2 2))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 4)) (sqrt.f64 (fma.f64 x -1/2 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -1/2 2))) (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (sqrt.f64 (fma.f64 x -1/2 2)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (sqrt.f64 (fma.f64 x -1/2 2))) (sqrt.f64 (fma.f64 x -1/2 2))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (-.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 (fma.f64 1/4 (*.f64 x x) 4) x)) |
(*.f64 (+.f64 x (fma.f64 1/4 (*.f64 x x) 4)) (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (+.f64 8 (*.f64 -1/8 (pow.f64 x 3))))) |
(*.f64 (+.f64 x (fma.f64 (*.f64 x 1/4) x 4)) (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (-.f64 8 (*.f64 1/8 (pow.f64 x 3))))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (/.f64 (+.f64 8 (*.f64 (pow.f64 x 3) -1/8)) (+.f64 x (fma.f64 1/4 (*.f64 x x) 4)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 (*.f64 x x) -1/4 4)) (fma.f64 x 1/2 2)) |
(fma.f64 1/2 x 2) |
(pow.f64 (fma.f64 x 1/2 2) 1) |
(fma.f64 1/2 x 2) |
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) 1/3) |
(fma.f64 1/2 x 2) |
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 3) |
(fma.f64 1/2 x 2) |
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 2) |
(fma.f64 1/2 x 2) |
(pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) -1) |
(fma.f64 1/2 x 2) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/4 4) 3) (pow.f64 (fma.f64 x -1/2 2) 3)) 1/3) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/4 4) 3) (pow.f64 (fma.f64 x -1/2 2) 3))) |
(pow.f64 (/.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1) -1) |
(fma.f64 1/2 x 2) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) -1/4 4) (neg.f64 (fma.f64 x -1/2 2)))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) 2)) |
(fma.f64 1/2 x 2) |
(log.f64 (exp.f64 (fma.f64 x 1/2 2))) |
(fma.f64 1/2 x 2) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 2)))) |
(fma.f64 1/2 x 2) |
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) 3)) |
(fma.f64 1/2 x 2) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/4 4) 3) (pow.f64 (fma.f64 x -1/2 2) 3))) |
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 2))) |
(fma.f64 1/2 x 2) |
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 2))) |
(fma.f64 1/2 x 2) |
(exp.f64 (log.f64 (fma.f64 x 1/2 2))) |
(fma.f64 1/2 x 2) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1)) |
(fma.f64 1/2 x 2) |
(fma.f64 4 (/.f64 1 (fma.f64 x -1/2 2)) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(fma.f64 x 1/2 2) |
(fma.f64 1/2 x 2) |
(fma.f64 1/2 x 2) |
(fma.f64 (*.f64 x 1/2) 1 2) |
(fma.f64 1/2 x 2) |
(fma.f64 1 (*.f64 x 1/2) 2) |
(fma.f64 1/2 x 2) |
(fma.f64 1 (/.f64 4 (fma.f64 x -1/2 2)) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) 2) |
(fma.f64 1/2 x 2) |
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 2) |
(fma.f64 1/2 x 2) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) 2) |
(fma.f64 1/2 x 2) |
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) 2) |
(fma.f64 1/2 x 2) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) 2) |
(fma.f64 1/2 x 2) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (cbrt.f64 (/.f64 4 (fma.f64 x -1/2 2)))) (cbrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(fma.f64 (sqrt.f64 (*.f64 1/4 x)) (sqrt.f64 x) 2) |
(fma.f64 (sqrt.f64 (*.f64 x 1/4)) (sqrt.f64 x) 2) |
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 2) |
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2)) 2) |
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4)))) (fabs.f64 (cbrt.f64 (*.f64 1/2 x))) 2) |
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4)))) (cbrt.f64 (*.f64 1/2 x)) 2) |
(fma.f64 (sqrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (sqrt.f64 (/.f64 4 (fma.f64 x -1/2 2))) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(+.f64 (/.f64 4 (fma.f64 x -1/2 2)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/4 4) (fma.f64 x -1/2 2)) |
(fma.f64 (/.f64 4 (-.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 (fma.f64 1/4 (*.f64 x x) 4) x) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(+.f64 (fma.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x) (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 x -1/2 2))) (fma.f64 (/.f64 4 (+.f64 8 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 x (fma.f64 1/4 (*.f64 x x) 4)) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 x -1/2 2) x)) 0) (fma.f64 (/.f64 4 (-.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 x (fma.f64 (*.f64 x 1/4) x 4)) (*.f64 (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) x) x))) |
(fma.f64 (/.f64 4 (+.f64 8 (*.f64 (pow.f64 x 3) -1/8))) (+.f64 x (fma.f64 1/4 (*.f64 x x) 4)) (*.f64 (*.f64 x x) (/.f64 -1/4 (fma.f64 x -1/2 2)))) |
(fma.f64 (/.f64 4 (fma.f64 (*.f64 x x) -1/4 4)) (fma.f64 x 1/2 2) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x -1/2 2))))) |
(+.f64 (fma.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x) (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 x -1/2 2))) (fma.f64 (/.f64 4 (fma.f64 (*.f64 x x) -1/4 4)) (fma.f64 1/2 x 2) (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 x (/.f64 (fma.f64 x -1/2 2) x)) 0) (fma.f64 (/.f64 4 (fma.f64 (*.f64 x x) -1/4 4)) (fma.f64 1/2 x 2) (*.f64 (*.f64 (/.f64 -1/4 (fma.f64 x -1/2 2)) x) x))) |
(fma.f64 (fma.f64 1/2 x 2) (/.f64 4 (fma.f64 (*.f64 x x) -1/4 4)) (*.f64 (*.f64 x x) (/.f64 -1/4 (fma.f64 x -1/2 2)))) |
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 2) |
(fma.f64 1/2 x 2) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) 2) |
(fma.f64 1/2 x 2) |
(+.f64 0 (*.f64 1/4 (*.f64 x x))) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)))) |
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)))) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (*.f64 x x)))) 1) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(pow.f64 (*.f64 1/4 (*.f64 x x)) 1) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(pow.f64 (*.f64 x 1/2) 2) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 3) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/64) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/64)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/64)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/16)) |
(sqrt.f64 (*.f64 1/16 (pow.f64 x 4))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (*.f64 x x))))) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/64)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/64)) |
(expm1.f64 (log1p.f64 (*.f64 1/4 (*.f64 x x)))) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(log1p.f64 (expm1.f64 (*.f64 1/4 (*.f64 x x)))) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(exp.f64 (*.f64 2 (log.f64 (*.f64 x 1/2)))) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 1/2))) 1)) |
(*.f64 1/4 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/4)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (+.f64 x 1)) | |
| 0.0b | (+.f64 1 (sqrt.f64 (+.f64 x 1))) | |
| ✓ | 0.1b | (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 29.7b | (/.f64 (*.f64 x x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
Compiled 39 to 26 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 0.0ms | x | @ | inf | (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
| 0.0ms | x | @ | 0 | (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 1× | batch-egg-rewrite |
| 898× | prod-diff_binary64 |
| 517× | log-prod_binary64 |
| 422× | fma-def_binary64 |
| 254× | pow2_binary64 |
| 242× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 1 | 208 | 24 |
| 2 | 3231 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| Outputs |
|---|
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((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x)) (*.f64 (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x 1) 1/4)) (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x 1) 1/4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4) x))))) |
| 1× | egg-herbie |
| 828× | fma-def_binary64 |
| 604× | associate-/r*_binary64 |
| 427× | associate-*l/_binary64 |
| 395× | unswap-sqr_binary64 |
| 311× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 331 | 2287 |
| 1 | 774 | 2188 |
| 2 | 2288 | 2126 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/16 (pow.f64 x 4)) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2))))) |
(+.f64 0 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) 1) |
(*.f64 x (/.f64 x (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(*.f64 x (/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1))) |
(*.f64 x (*.f64 x (/.f64 1 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(*.f64 (*.f64 x x) (/.f64 1 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(*.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(*.f64 (/.f64 1 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) (*.f64 x x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(*.f64 (/.f64 x (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) x) |
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) x) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) x)) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (hypot.f64 1 (sqrt.f64 x))))) |
(*.f64 (/.f64 x (-.f64 0 x)) (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 3) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2) |
(pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) -1) |
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3)) 1/3) |
(pow.f64 (/.f64 (pow.f64 (pow.f64 x 3) 2) (pow.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) 3)) 1/3) |
(pow.f64 (/.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) 1) -1) |
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x 3) 2) (pow.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))) |
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))) 1)) |
(+.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(+.f64 x (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(+.f64 0 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) |
(+.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) 1) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 3)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 2) (*.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x))))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 2)) (-.f64 x (*.f64 x (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) (+.f64 1 (-.f64 (+.f64 x 1) (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 (*.f64 (-.f64 0 x) x) (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(/.f64 (*.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 (*.f64 x (-.f64 0 x)) (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(pow.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) 1) |
(pow.f64 (pow.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) 3) |
(pow.f64 (sqrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) 2) |
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3) (pow.f64 x 3)) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) 2)) |
(log.f64 (exp.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x)))))) |
(log.f64 (*.f64 (exp.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (exp.f64 x))) |
(log.f64 (*.f64 (exp.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (+.f64 1 (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) 3)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(log1p.f64 (expm1.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(exp.f64 (log.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) 1)) |
(fma.f64 x 1 (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 x 1 (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) |
(fma.f64 (*.f64 x x) (/.f64 1 x) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (*.f64 x x) (/.f64 1 x) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 1 x (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 1 x (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 1 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) x) |
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) x x) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) x) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) x) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (*.f64 (pow.f64 (+.f64 x 1) 1/4) x) x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) x) |
(fma.f64 (sqrt.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) x) |
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x)) (*.f64 (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x)) x) |
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x 1) 1/4)) (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x 1) 1/4)) x) |
(fma.f64 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x) |
(fma.f64 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x) x) |
(fma.f64 (*.f64 x (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) x) |
(fma.f64 (*.f64 x (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4) x) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x)) |
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) |
(fma.f64 1/16 (pow.f64 x 3) (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))) |
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -5/128 (pow.f64 x 4))))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 2 x (*.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (*.f64 x x) (*.f64 x 2)) |
(*.f64 x (+.f64 2 (*.f64 1/2 x))) |
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))) |
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 2 x (*.f64 1/2 (*.f64 x x)))) |
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (*.f64 x 2))) |
(fma.f64 x 2 (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 -1/8 x))))) |
(+.f64 (*.f64 1/16 (pow.f64 x 4)) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2))))) |
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 2 x (*.f64 1/2 (*.f64 x x))))) |
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (*.f64 x 2)))) |
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 x 2 (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))))) |
(+.f64 0 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) 1) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 x (/.f64 x (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 x (/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 x (*.f64 x (/.f64 1 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (*.f64 x x) (/.f64 1 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 (cbrt.f64 x) x) (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(/.f64 x (/.f64 (neg.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) (neg.f64 x))) |
(/.f64 x (-.f64 (neg.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x)))) -1)) |
(*.f64 (/.f64 1 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) (*.f64 x x)) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 (cbrt.f64 x) x) (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) |
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(/.f64 (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) |
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 x (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) |
(/.f64 x (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 (cbrt.f64 x) x) (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(*.f64 (/.f64 x (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) x) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) x) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) x)) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 (cbrt.f64 x) x) (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) 2))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) 2) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 (cbrt.f64 x) x) (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (hypot.f64 1 (sqrt.f64 x))))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (hypot.f64 1 (sqrt.f64 x)))) |
(*.f64 (/.f64 x (-.f64 0 x)) (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
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(*.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) -1) |
(pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1) |
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(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 3) |
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(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 2) |
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) |
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(pow.f64 (/.f64 (pow.f64 (pow.f64 x 3) 2) (pow.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) 3)) 1/3) |
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(/.f64 x (-.f64 (neg.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x)))) -1)) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) |
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(log.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) |
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(sqrt.f64 (pow.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) 2)) |
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x)))) |
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(fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 x (hypot.f64 1 (sqrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 x (hypot.f64 1 (sqrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))) |
(fma.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) |
(fma.f64 (/.f64 x (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) |
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) |
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 x (hypot.f64 1 (sqrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)) (*.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 1)) |
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) |
(fma.f64 x (hypot.f64 1 (sqrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))) |
(fma.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x)) (*.f64 (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x)) x) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (*.f64 x (pow.f64 (+.f64 x 1) 1/4)) x) |
(fma.f64 x (pow.f64 (+.f64 x 1) 1/2) x) |
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x 1) 1/4)) (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x 1) 1/4)) x) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (*.f64 x (pow.f64 (+.f64 x 1) 1/4)) x) |
(fma.f64 x (pow.f64 (+.f64 x 1) 1/2) x) |
(fma.f64 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x) |
(fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) |
(fma.f64 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x) x) |
(fma.f64 x (hypot.f64 1 (sqrt.f64 x)) x) |
(fma.f64 (*.f64 x (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) x) |
(fma.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 x (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) x) |
(fma.f64 x (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) x) |
(fma.f64 (*.f64 x (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4) x) |
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (*.f64 x (pow.f64 (+.f64 x 1) 1/4)) x) |
(fma.f64 x (pow.f64 (+.f64 x 1) 1/2) x) |
Compiled 21937 to 15751 computations (28.2% saved)
12 alts after pruning (1 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 741 | 1 | 742 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 10 | 10 |
| Total | 741 | 12 | 753 |
| Status | Error | Program |
|---|---|---|
| ✓ | 23.2b | (fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/16 x) -1/8))) |
| ✓ | 30.3b | (/.f64 (*.f64 x x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
| ✓ | 22.6b | (/.f64 x (/.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) (-.f64 2 (*.f64 1/2 x)))) |
| ✓ | 22.2b | (/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) |
| ✓ | 22.2b | (/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| ✓ | 22.2b | (/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
| ✓ | 0.2b | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| ✓ | 60.9b | (/.f64 x (*.f64 1/2 x)) |
| ✓ | 22.8b | (/.f64 x 2) |
| ✓ | 36.9b | (-.f64 (sqrt.f64 (+.f64 x 1)) 1) |
| 40.7b | (+.f64 -1 (sqrt.f64 x)) | |
| ✓ | 1.9b | (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
Compiled 107 to 81 computations (24.3% saved)
| Inputs |
|---|
(/.f64 x 2) |
(/.f64 x (*.f64 1/2 x)) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
(/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) |
(/.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) 1)) |
(/.f64 x (/.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) (-.f64 2 (*.f64 1/2 x)))) |
(+.f64 -1 (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x 1)) 1) |
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(/.f64 x (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))) |
(/.f64 (*.f64 x x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) |
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/16 x) -1/8))) |
(expm1.f64 (*.f64 (log1p.f64 x) 1/2)) |
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) |
(/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) |
(/.f64 x (expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
2 calls:
| 10.0ms | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
Compiled 183 to 133 computations (27.3% saved)
| Inputs |
|---|
(/.f64 x 2) |
(/.f64 x (*.f64 1/2 x)) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
(/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) |
(/.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) 1)) |
(/.f64 x (/.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) (-.f64 2 (*.f64 1/2 x)))) |
(+.f64 -1 (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x 1)) 1) |
| Outputs |
|---|
(/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) |
(-.f64 (sqrt.f64 (+.f64 x 1)) 1) |
1 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 2 | x |
Compiled 72 to 54 computations (25% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 3.6843797097837433e-7 | 0.0004398457163503506 |
| 14.0ms | 128× | body | 256 | valid |
Compiled 165 to 138 computations (16.4% saved)
| Inputs |
|---|
(/.f64 x 2) |
(/.f64 x (*.f64 1/2 x)) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
(/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) |
(/.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) 1)) |
(/.f64 x (/.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) (-.f64 2 (*.f64 1/2 x)))) |
(+.f64 -1 (sqrt.f64 x)) |
| Outputs |
|---|
(/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) |
(+.f64 -1 (sqrt.f64 x)) |
1 calls:
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 2 | x |
Compiled 66 to 49 computations (25.8% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.020493038726382713 | 2023682.9639126786 |
| 13.0ms | 144× | body | 256 | valid |
Compiled 166 to 136 computations (18.1% saved)
| Inputs |
|---|
(/.f64 x 2) |
(/.f64 x (*.f64 1/2 x)) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
(/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) |
(/.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) 2)) 1)) |
(/.f64 x (/.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) (-.f64 2 (*.f64 1/2 x)))) |
| Outputs |
|---|
(/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.2b | 1 | x |
Compiled 62 to 46 computations (25.8% saved)
| Inputs |
|---|
(/.f64 x 2) |
(/.f64 x (*.f64 1/2 x)) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.2b | 1 | x |
Compiled 27 to 19 computations (29.6% saved)
| Inputs |
|---|
(/.f64 x 2) |
(/.f64 x (*.f64 1/2 x)) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
| Outputs |
|---|
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.2b | 1 | x |
Compiled 18 to 12 computations (33.3% saved)
Total -38.1b remaining (-166.9%)
Threshold costs -38.1b (-166.9%)
| Inputs |
|---|
(/.f64 x 2) |
(/.f64 x (*.f64 1/2 x)) |
| Outputs |
|---|
(/.f64 x 2) |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.8b | 1 | x |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 9× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 105 |
| 1 | 44 | 105 |
| 2 | 46 | 105 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(if (<=.f64 x 3984496719921263/295147905179352825856) (/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(if (<=.f64 x 4) (/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) (+.f64 -1 (sqrt.f64 x))) |
(/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) |
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 x 2) |
| Outputs |
|---|
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(if (<=.f64 x 3984496719921263/295147905179352825856) (/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) (-.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(if (<=.f64 x 3984496719921263/295147905179352825856) (/.f64 x (+.f64 (+.f64 (*.f64 x 1/2) 3) -1)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) |
(if (<=.f64 x 4) (/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) (+.f64 -1 (sqrt.f64 x))) |
(if (<=.f64 x 4) (/.f64 x (+.f64 (+.f64 (*.f64 x 1/2) 3) -1)) (+.f64 -1 (sqrt.f64 x))) |
(/.f64 x (-.f64 (+.f64 (*.f64 1/2 x) 3) 1)) |
(/.f64 x (+.f64 (+.f64 (*.f64 x 1/2) 3) -1)) |
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) |
(/.f64 x (+.f64 1 (+.f64 1 (*.f64 x 1/2)))) |
(/.f64 x (+.f64 (*.f64 1/2 x) 2)) |
(/.f64 x (+.f64 (*.f64 x 1/2) 2)) |
(/.f64 x 2) |
Compiled 79 to 62 computations (21.5% saved)
Compiled 73 to 56 computations (23.3% saved)
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