Time bar (total: 5.4s)
| 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 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.8% | 0.1% | 0% | 0.1% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 892.0ms | 8254× | body | 256 | valid |
| 0.0ms | 3× | body | 256 | infinite |
| 0.0ms | 1× | body | 1024 | valid |
| 0.0ms | 1× | body | 512 | valid |
| 2× | egg-herbie |
| 4× | fma-def |
| 2× | *-commutative |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 9 |
| 1 | 17 | 9 |
| 2 | 18 | 9 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
(fma.f64 841/108 x 4/29) |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
| 4× | fma-def |
| 2× | *-commutative |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 9 |
| 1 | 17 | 9 |
| 2 | 18 | 9 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
(fma.f64 841/108 x 4/29) |
Compiled 14 to 12 computations (14.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.07% | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
Compiled 10 to 9 computations (10% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| ✓ | 0.16% | (*.f64 (/.f64 841 108) x) |
Compiled 26 to 23 computations (11.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 841 108) x) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 841 108) x) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 841 108) x) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| 1× | batch-egg-rewrite |
| 734× | *-commutative |
| 694× | sqrt-prod |
| 566× | frac-times |
| 446× | swap-sqr |
| 434× | unswap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 16 |
| 1 | 239 | 16 |
| 2 | 2517 | 16 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 841 108) x) |
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 841/108) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (-.f64 4/29 (*.f64 841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29))))) |
| 1× | egg-herbie |
| 1026× | associate-/r/ |
| 1018× | associate-/l/ |
| 440× | +-commutative |
| 414× | distribute-lft-neg-in |
| 392× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 376 | 5842 |
| 1 | 1055 | 4826 |
| 2 | 4088 | 4784 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
4/29 |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)))) |
(pow.f64 (*.f64 841/108 x) 1) |
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) |
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3) |
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) |
(fabs.f64 (*.f64 841/108 x)) |
(log.f64 (pow.f64 (exp.f64 841/108) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x)))) |
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 841/108 x))) |
(exp.f64 (log.f64 (*.f64 841/108 x))) |
(log1p.f64 (expm1.f64 (*.f64 841/108 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1) |
(-.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1) |
(-.f64 (/.f64 16/841 (-.f64 4/29 (*.f64 841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x)))) |
(*.f64 (fma.f64 841/108 x 4/29) 1) |
(*.f64 1 (fma.f64 841/108 x 4/29)) |
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29))) |
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(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) 1) (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) |
(/.f64 (*.f64 (+.f64 262144/14507145975869 (pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 3)) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (*.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) |
(/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (neg.f64 (-.f64 4/29 (*.f64 841/108 x)))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841)) (neg.f64 (neg.f64 (fma.f64 841/108 x -4/29)))) |
(/.f64 (neg.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) |
(pow.f64 (fma.f64 841/108 x 4/29) 1) |
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3) |
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (neg.f64 (fma.f64 841/108 x -4/29)))) |
(neg.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) |
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2)) |
(fabs.f64 (fma.f64 841/108 x 4/29)) |
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29)))) |
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) |
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29))) |
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29))) |
(fma.f64 841/108 x 4/29) |
(fma.f64 x 841/108 4/29) |
(fma.f64 1 (*.f64 841/108 x) 4/29) |
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29) |
| Outputs |
|---|
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
4/29 |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1) |
(*.f64 841/108 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1) |
(*.f64 841/108 x) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)) |
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1) (*.f64 841/108 x)) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 841/108 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 841/108 x)) (log1p.f64 (*.f64 841/108 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 3)) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 841/108 x))))))) |
(/.f64 (+.f64 -1 (exp.f64 (*.f64 3 (log1p.f64 (*.f64 841/108 x))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 841/108 x))))))) |
(pow.f64 (*.f64 841/108 x) 1) |
(*.f64 841/108 x) |
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) |
(*.f64 841/108 x) |
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) |
(*.f64 841/108 x) |
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3) |
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3))) |
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 707281/11664 x) x)) |
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) |
(fabs.f64 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(log.f64 (pow.f64 (exp.f64 841/108) x)) |
(*.f64 841/108 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x)))) |
(*.f64 841/108 x) |
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 841/108 x))) |
(*.f64 841/108 x) |
(exp.f64 (log.f64 (*.f64 841/108 x))) |
(*.f64 841/108 x) |
(log1p.f64 (expm1.f64 (*.f64 841/108 x))) |
(*.f64 841/108 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29) |
(fma.f64 841/108 x 4/29) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1) |
(fma.f64 841/108 x 4/29) |
(-.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1) |
(fma.f64 841/108 x 4/29) |
(-.f64 (/.f64 16/841 (-.f64 4/29 (*.f64 841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x)))) |
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 4/29 (*.f64 -841/108 x)))) |
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 x x))) |
(+.f64 (/.f64 -16/841 (fma.f64 841/108 x -4/29)) (/.f64 (*.f64 x (*.f64 x -707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 (fma.f64 841/108 x 4/29) 1) |
(fma.f64 841/108 x 4/29) |
(*.f64 1 (fma.f64 841/108 x 4/29)) |
(fma.f64 841/108 x 4/29) |
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29))) |
(fma.f64 841/108 x 4/29) |
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) |
(fma.f64 841/108 x 4/29) |
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (*.f64 (fma.f64 841/108 x 4/29) (cbrt.f64 (fma.f64 841/108 x 4/29))))) |
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29))) |
(fma.f64 841/108 x 4/29) |
(*.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29))) |
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(*.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) |
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)))))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)))) |
(*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) |
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(*.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) |
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(*.f64 (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) |
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)))))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)) |
(*.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841) (/.f64 1 (neg.f64 (fma.f64 841/108 x -4/29)))) |
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(*.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))) (/.f64 1 (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) |
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)))))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)) |
(*.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (fma.f64 841/108 x 4/29)) |
(fma.f64 841/108 x 4/29) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29)))) |
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (cbrt.f64 (fma.f64 841/108 x -4/29)))) |
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) |
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)))))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) |
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)))))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)) |
(*.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 16/841 (*.f64 x 29/27)))) |
(*.f64 (/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)) (fma.f64 707281/11664 (*.f64 x x) (+.f64 16/841 (*.f64 x 29/27)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x 29/27 16/841))) |
(*.f64 (/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x 29/27 16/841))) |
(*.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (-.f64 16/841 (*.f64 x 29/27)) 2))) (-.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27)))) |
(*.f64 (/.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (-.f64 16/841 (*.f64 x 29/27)) 2))) (+.f64 (-.f64 (*.f64 (*.f64 707281/11664 x) x) 16/841) (*.f64 x 29/27))) |
(*.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (+.f64 16/841 (*.f64 x -29/27)) 2))) (+.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (*.f64 x 29/27))) |
(*.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (+.f64 16/841 (*.f64 x -29/27)) 2))) (+.f64 -16/841 (*.f64 x (+.f64 29/27 (*.f64 x 707281/11664))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29))) (*.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (+.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))) |
(/.f64 (-.f64 (*.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x)))) (*.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (+.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))) |
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (fma.f64 841/108 x -4/29)) (fma.f64 841/108 x -4/29)) (/.f64 (/.f64 256/707281 (fma.f64 841/108 x -4/29)) (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (fma.f64 841/108 x -4/29) 2)) (/.f64 256/707281 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 841/108 x -4/29)) 707281/11664) (/.f64 16/841 (fma.f64 841/108 x -4/29)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (fma.f64 841/108 x 4/29)) (log1p.f64 (fma.f64 841/108 x 4/29)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (*.f64 2 (log1p.f64 (fma.f64 841/108 x 4/29))))))) |
(/.f64 (+.f64 -1 (exp.f64 (*.f64 3 (log1p.f64 (fma.f64 841/108 x 4/29))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (*.f64 2 (log1p.f64 (fma.f64 841/108 x 4/29))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) 3) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 3)) (+.f64 (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) 3) (/.f64 4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (fma.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (*.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (+.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) |
(/.f64 (+.f64 (/.f64 353814783205469041/1586874322944 (/.f64 (pow.f64 (fma.f64 841/108 x -4/29) 3) (pow.f64 x 6))) (/.f64 -4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (fma.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (+.f64 (*.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) (/.f64 (/.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (fma.f64 841/108 x -4/29)) (fma.f64 841/108 x -4/29)))) |
(/.f64 (+.f64 (*.f64 (/.f64 353814783205469041/1586874322944 (pow.f64 (fma.f64 841/108 x -4/29) 3)) (pow.f64 x 6)) (/.f64 -4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (fma.f64 841/108 x -4/29) 2)) (*.f64 (/.f64 -16/841 (pow.f64 (fma.f64 841/108 x -4/29) 2)) (+.f64 -16/841 (/.f64 (*.f64 x (*.f64 x 707281/11664)) -1))))) |
(/.f64 (-.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (*.f64 (fma.f64 841/108 x -4/29) 16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 707281/11664 x) x) (fma.f64 841/108 x -4/29)) (*.f64 (fma.f64 841/108 x -4/29) 16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2)) |
(/.f64 (*.f64 (fma.f64 841/108 x -4/29) (fma.f64 (*.f64 x 707281/11664) x -16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2)) |
(/.f64 (*.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2)) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) 1) (*.f64 (+.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 841/108 x -4/29))) |
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (*.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 707281/11664 x) x) 16/841))) |
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (*.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) 16/841))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) -4096/594823321) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2))) (fma.f64 841/108 x -4/29))) |
(/.f64 (+.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 (*.f64 x x) 3)) -4096/594823321) (*.f64 (fma.f64 841/108 x -4/29) (fma.f64 (pow.f64 x 4) 500246412961/136048896 (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2))))) |
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (*.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 x x) 841/729) (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281)))) |
(/.f64 (/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (fma.f64 841/108 x -4/29)) (+.f64 (*.f64 (*.f64 x x) 841/729) (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) 1) (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) |
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (*.f64 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)))) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389))) |
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (*.f64 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389))) |
(/.f64 (*.f64 (+.f64 262144/14507145975869 (pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 3)) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (*.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) |
(/.f64 (+.f64 262144/14507145975869 (*.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3))) (*.f64 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)))) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 (-.f64 4096/594823321 (*.f64 24389/19683 (pow.f64 x 3)))))) |
(/.f64 (fma.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3) 262144/14507145975869) (*.f64 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841) (+.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 4096/594823321) (*.f64 -24389/19683 (pow.f64 x 3))))) |
(/.f64 (/.f64 (fma.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3) 262144/14507145975869) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)) (+.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 4096/594823321) (*.f64 (pow.f64 x 3) -24389/19683))) |
(/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (neg.f64 (-.f64 4/29 (*.f64 841/108 x)))) |
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841)) (neg.f64 (neg.f64 (fma.f64 841/108 x -4/29)))) |
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (neg.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) |
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)))))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)) |
(pow.f64 (fma.f64 841/108 x 4/29) 1) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3) |
(fma.f64 841/108 x 4/29) |
(neg.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (neg.f64 (fma.f64 841/108 x -4/29)))) |
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(neg.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) |
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)))))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)) |
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2)) |
(fma.f64 841/108 x 4/29) |
(fabs.f64 (fma.f64 841/108 x 4/29)) |
(fma.f64 841/108 x 4/29) |
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29))) |
(fma.f64 841/108 x 4/29) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29)))) |
(fma.f64 841/108 x 4/29) |
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) |
(fma.f64 841/108 x 4/29) |
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) |
(fma.f64 841/108 x 4/29) |
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29))) |
(fma.f64 841/108 x 4/29) |
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29))) |
(fma.f64 841/108 x 4/29) |
(fma.f64 841/108 x 4/29) |
(fma.f64 x 841/108 4/29) |
(fma.f64 841/108 x 4/29) |
(fma.f64 1 (*.f64 841/108 x) 4/29) |
(fma.f64 841/108 x 4/29) |
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29) |
(fma.f64 841/108 x 4/29) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29) |
(fma.f64 841/108 x 4/29) |
Compiled 4279 to 3450 computations (19.4% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 189 | 5 | 194 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 190 | 5 | 195 |
| Status | Error | Program |
|---|---|---|
| ▶ | 27.16% | (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) |
| ▶ | 27.2% | (-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 4/29 (*.f64 -841/108 x)))) |
| ▶ | 1.14% | (+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29)) |
| ▶ | 0.07% | (+.f64 4/29 (*.f64 841/108 x)) |
| 52.15% | 4/29 |
Compiled 53 to 44 computations (17% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (+.f64 4/29 (*.f64 841/108 x)) |
| ✓ | 0.16% | (*.f64 841/108 x) |
Compiled 12 to 9 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 841/108 x) |
| 0.0ms | x | @ | -inf | (+.f64 4/29 (*.f64 841/108 x)) |
| 0.0ms | x | @ | inf | (+.f64 4/29 (*.f64 841/108 x)) |
| 0.0ms | x | @ | inf | (*.f64 841/108 x) |
| 0.0ms | x | @ | 0 | (+.f64 4/29 (*.f64 841/108 x)) |
| 1× | batch-egg-rewrite |
| 1540× | add-sqr-sqrt |
| 1502× | *-un-lft-identity |
| 1426× | add-cube-cbrt |
| 1416× | add-cbrt-cube |
| 1402× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 152 | 16 |
| 2 | 1839 | 16 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 4/29 (*.f64 -841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 -841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) (neg.f64 (+.f64 4/29 (*.f64 -841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29))))) |
| 1× | egg-herbie |
| 1130× | associate-/l* |
| 974× | associate-*r* |
| 770× | associate-*l* |
| 758× | associate-+r+ |
| 704× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 1118 |
| 1 | 254 | 882 |
| 2 | 887 | 686 |
| 3 | 3856 | 686 |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1) |
(pow.f64 (*.f64 841/108 x) 1) |
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) |
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3) |
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) |
(log.f64 (pow.f64 (exp.f64 x) 841/108)) |
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 841/108 x))) |
(exp.f64 (log.f64 (*.f64 841/108 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 841/108 x))) |
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1) |
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 (fma.f64 841/108 x 4/29) 1) |
(*.f64 1 (fma.f64 841/108 x 4/29)) |
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29))) |
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29))) |
(*.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))))) |
(/.f64 1 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))))) |
(/.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) |
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 -841/108 x))) |
(/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))) |
(/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 29/27 x)))) |
(/.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29)) |
(/.f64 (neg.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) (neg.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))))) |
(pow.f64 (fma.f64 841/108 x 4/29) 1) |
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3) |
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2)) |
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29))) |
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) |
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29))) |
(fma.f64 841/108 x 4/29) |
(fma.f64 x 841/108 4/29) |
(fma.f64 1 (*.f64 841/108 x) 4/29) |
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29) |
| Outputs |
|---|
4/29 |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1) |
(*.f64 841/108 x) |
(pow.f64 (*.f64 841/108 x) 1) |
(*.f64 841/108 x) |
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) |
(*.f64 841/108 x) |
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) |
(*.f64 841/108 x) |
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3) |
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3))) |
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) |
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) |
(log.f64 (pow.f64 (exp.f64 x) 841/108)) |
(*.f64 841/108 x) |
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 841/108 x))) |
(*.f64 841/108 x) |
(exp.f64 (log.f64 (*.f64 841/108 x))) |
(*.f64 841/108 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1)) |
(*.f64 841/108 x) |
(log1p.f64 (expm1.f64 (*.f64 841/108 x))) |
(*.f64 841/108 x) |
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(*.f64 (fma.f64 841/108 x 4/29) 1) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(*.f64 1 (fma.f64 841/108 x 4/29)) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29))) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29))) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(*.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(*.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x)))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) -29/27)))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841)) |
(/.f64 1 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) |
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x)))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) -29/27)))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841)) |
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 -841/108 x))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))) |
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x)))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) -29/27)))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841)) |
(/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 29/27 x)))) |
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x)))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) -29/27)))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841)) |
(/.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29)) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (neg.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) (neg.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x)))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) -29/27)))) |
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841)) |
(pow.f64 (fma.f64 841/108 x 4/29) 1) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2)) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29))) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29))) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1)) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29))) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(fma.f64 841/108 x 4/29) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 x 841/108 4/29) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(fma.f64 1 (*.f64 841/108 x) 4/29) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29) |
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1)) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29)) |
| 0.16% | (*.f64 841/108 x) | |
| ✓ | 0.96% | (cbrt.f64 (*.f64 841/108 x)) |
| ✓ | 1.24% | (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) |
Compiled 32 to 27 computations (15.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (*.f64 841/108 x)) |
| 0.0ms | x | @ | 0 | (cbrt.f64 (*.f64 841/108 x)) |
| 1× | batch-egg-rewrite |
| 866× | *-commutative |
| 634× | unswap-sqr |
| 536× | swap-sqr |
| 394× | sqr-pow |
| 346× | pow-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 31 |
| 1 | 280 | 27 |
| 2 | 2899 | 27 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) |
(cbrt.f64 (*.f64 841/108 x)) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (cbrt.f64 841/108) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 841/108 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))))) 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| 1× | egg-herbie |
| 1310× | associate-/r* |
| 1114× | associate-*r/ |
| 874× | associate-*l/ |
| 630× | associate-/l/ |
| 626× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 483 | 8072 |
| 1 | 1294 | 6374 |
| 2 | 4331 | 5936 |
| 1× | node limit |
| Inputs |
|---|
4/29 |
4/29 |
4/29 |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1) |
(*.f64 841/108 x) |
(*.f64 x 841/108) |
(*.f64 x (pow.f64 (cbrt.f64 841/108) 3)) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2) 3)) |
(*.f64 (*.f64 841/108 x) 1) |
(*.f64 1 (*.f64 841/108 x)) |
(*.f64 (sqrt.f64 x) (*.f64 841/108 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x))) |
(*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)))) |
(*.f64 (cbrt.f64 x) (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 841/108))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 841/108 (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))))) |
(*.f64 (cbrt.f64 841/108) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)))) |
(*.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 841/108)) (cbrt.f64 x)) |
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 841/108 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) (pow.f64 (*.f64 841/108 x) 1/6)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2)) |
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) (cbrt.f64 841/108)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2) 3) (cbrt.f64 (*.f64 841/108 x))) |
(*.f64 (pow.f64 (cbrt.f64 841/108) 3) x) |
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (*.f64 841/108 x)) |
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(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (/.f64 (fma.f64 841/108 x -4/29) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)))) |
(/.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (/.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))) (sqrt.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841))) (/.f64 (fma.f64 841/108 x -4/29) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (cbrt.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))) (/.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))) (cbrt.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) (*.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) -64/24389))) |
(/.f64 (+.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) -256/707281) (*.f64 (fma.f64 841/108 x -4/29) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(/.f64 (+.f64 262144/14507145975869 (pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 3)) (*.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (*.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) 707281/11664) 3) -4096/594823321) (*.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 841/729))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) 707281/11664)) 16/841) (+.f64 (*.f64 x -841/108) 4/29)) |
(/.f64 (+.f64 -64/24389 (neg.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) |
(/.f64 (*.f64 1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841))) (sqrt.f64 (fma.f64 841/108 x -4/29))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841))) (cbrt.f64 (fma.f64 841/108 x -4/29))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) |
(/.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 1) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) 707281/11664)) 16/841) 1) (+.f64 (*.f64 x -841/108) 4/29)) |
(/.f64 (*.f64 (+.f64 -64/24389 (neg.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))) 1) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (fma.f64 841/108 x -4/29))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (cbrt.f64 (fma.f64 841/108 x -4/29))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) |
(/.f64 (*.f64 (+.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) -256/707281) (/.f64 1 (fma.f64 841/108 x -4/29))) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) 707281/11664) 3) -4096/594823321) (/.f64 1 (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) (+.f64 256/707281 (*.f64 (*.f64 x x) 841/729)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) -64/24389)) |
(/.f64 (*.f64 (+.f64 262144/14507145975869 (pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 3)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (*.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) 1) (fma.f64 841/108 x -4/29)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29))) (sqrt.f64 (fma.f64 841/108 x -4/29))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (*.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (cbrt.f64 (fma.f64 841/108 x -4/29))) |
(/.f64 (/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) 1) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) |
(/.f64 (/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) |
(/.f64 (/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)) |
(/.f64 (-.f64 (*.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x -4/29))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x -4/29)))) (*.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (+.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x -4/29))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x -4/29))) 3) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 3)) (+.f64 (*.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x -4/29))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x -4/29)))) (+.f64 (*.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) (*.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x -4/29))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) |
(pow.f64 (fma.f64 841/108 x 4/29) 1) |
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3) |
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (+.f64 (*.f64 x -841/108) 4/29))) |
(neg.f64 (/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) |
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2)) |
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29)))) |
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) |
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29))) |
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29))) |
(fma.f64 841/108 x 4/29) |
(fma.f64 x 841/108 4/29) |
(fma.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) 4/29) |
(fma.f64 1 (*.f64 841/108 x) 4/29) |
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29) |
| Outputs |
|---|
4/29 |
4/29 |
4/29 |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1) |
(*.f64 841/108 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 x 841/108) |
(*.f64 841/108 x) |
(*.f64 x (pow.f64 (cbrt.f64 841/108) 3)) |
(*.f64 841/108 x) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2) 3)) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)) |
(*.f64 (*.f64 841/108 x) 1) |
(*.f64 841/108 x) |
(*.f64 1 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(*.f64 (sqrt.f64 x) (*.f64 841/108 (sqrt.f64 x))) |
(*.f64 841/108 x) |
(*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x))) |
(*.f64 841/108 x) |
(*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) |
(*.f64 (cbrt.f64 x) (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 841/108 x) |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 841/108))) |
(*.f64 (cbrt.f64 841/108) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 (cbrt.f64 841/108) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 841/108 (cbrt.f64 x))) |
(*.f64 841/108 x) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) |
(*.f64 (cbrt.f64 841/108) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)))) |
(*.f64 (cbrt.f64 841/108) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 (cbrt.f64 841/108) (cbrt.f64 x))) |
(*.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 841/108 x) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x)))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 841/108)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 841/108) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 (cbrt.f64 841/108) (cbrt.f64 x))) |
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 841/108 x) |
(*.f64 (*.f64 841/108 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 841/108 x) |
(*.f64 (*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) (pow.f64 (*.f64 841/108 x) 1/6)) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) |
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) (cbrt.f64 841/108)) |
(*.f64 (cbrt.f64 841/108) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 (cbrt.f64 841/108) (cbrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2) 3) (cbrt.f64 (*.f64 841/108 x))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2) 3)) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 841/108) 3) x) |
(*.f64 841/108 x) |
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1/6)) (cbrt.f64 (*.f64 841/108 x))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1/6)) (cbrt.f64 (*.f64 841/108 x)))) |
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1/6)) (*.f64 (cbrt.f64 (*.f64 841/108 x)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1/6) (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1/6))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3/4) (sqrt.f64 (sqrt.f64 (*.f64 841/108 x)))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3/4) (sqrt.f64 (sqrt.f64 (*.f64 841/108 x))))) |
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(/.f64 (-.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) x)) 3)) (/.f64 4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (+.f64 (*.f64 500246412961/136048896 (*.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) x)) (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) x)))) (*.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (fma.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) x)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) |
(/.f64 (fma.f64 353814783205469041/1586874322944 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 841/108 x -4/29) 3)) (/.f64 -4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (fma.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (fma.f64 707281/11664 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) x)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) (*.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) x)) (*.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) x)) 500246412961/136048896)))) |
(/.f64 (fma.f64 353814783205469041/1586874322944 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 841/108 x -4/29) 3)) (/.f64 -4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (fma.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (fma.f64 707281/11664 (*.f64 (/.f64 x (fma.f64 841/108 x -4/29)) x) (/.f64 16/841 (fma.f64 841/108 x -4/29))) (*.f64 500246412961/136048896 (/.f64 (/.f64 (pow.f64 x 4) (fma.f64 841/108 x -4/29)) (fma.f64 841/108 x -4/29))))) |
(pow.f64 (fma.f64 841/108 x 4/29) 1) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29) |
(fma.f64 841/108 x 4/29) |
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (+.f64 (*.f64 x -841/108) 4/29))) |
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (/.f64 (*.f64 x x) (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664)) |
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 x -841/108 4/29)) |
(neg.f64 (/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) |
(/.f64 (+.f64 -64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)) (+.f64 -16/841 (neg.f64 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) |
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 -64/24389) (-.f64 -16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) |
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 -64/24389) (+.f64 -16/841 (*.f64 (fma.f64 841/108 x -4/29) (*.f64 x -841/108)))) |
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2)) |
(fabs.f64 (fma.f64 841/108 x 4/29)) |
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29) |
(fma.f64 841/108 x 4/29) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29)))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29) |
(fma.f64 841/108 x 4/29) |
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29) |
(fma.f64 841/108 x 4/29) |
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29) |
(fma.f64 841/108 x 4/29) |
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29) |
(fma.f64 841/108 x 4/29) |
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29) |
(fma.f64 841/108 x 4/29) |
(fma.f64 841/108 x 4/29) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29) |
(fma.f64 x 841/108 4/29) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29) |
(fma.f64 841/108 x 4/29) |
(fma.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) 4/29) |
(fma.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 4/29) |
(fma.f64 1 (*.f64 841/108 x) 4/29) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29) |
(fma.f64 841/108 x 4/29) |
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -25/29) |
(fma.f64 841/108 x 4/29) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29) |
(fma.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 4/29) |
(fma.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) 4/29) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.16% | (*.f64 -841/108 x) |
| ✓ | 0.29% | (*.f64 707281/11664 x) |
| ✓ | 0.51% | (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) |
| ✓ | 25.41% | (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 4/29 (*.f64 -841/108 x))) |
Compiled 59 to 45 computations (23.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 4/29 (*.f64 -841/108 x))) |
| 0.0ms | x | @ | inf | (*.f64 707281/11664 x) |
| 0.0ms | x | @ | -inf | (*.f64 707281/11664 x) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 4/29 (*.f64 -841/108 x))) |
| 0.0ms | x | @ | 0 | (*.f64 707281/11664 x) |
| 1× | batch-egg-rewrite |
| 898× | associate-/r/ |
| 884× | swap-sqr |
| 710× | distribute-rgt-in |
| 676× | distribute-lft-in |
| 580× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 64 |
| 1 | 286 | 56 |
| 2 | 3723 | 56 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 4/29 (*.f64 -841/108 x))) |
(/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) |
(*.f64 707281/11664 x) |
(*.f64 -841/108 x) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) (cbrt.f64 (fma.f64 x -841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 841/16) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 256/707281 (pow.f64 (fma.f64 x -841/108 4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 707281/11664 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 707281/11664 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 707281/11664 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 707281/11664 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 707281/11664 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 707281/11664 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 707281/11664 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 707281/11664 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 707281/11664 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 707281/11664 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 707281/11664 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 707281/11664 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -841/108)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -594823321/1259712 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -594823321/1259712 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -841/108)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -841/108))))))) |
| 1× | egg-herbie |
| 794× | associate-*r* |
| 710× | associate-*l* |
| 666× | associate-+r+ |
| 630× | associate-/l* |
| 602× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 456 | 6502 |
| 1 | 1321 | 6172 |
| 2 | 5677 | 6158 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 20511149/46656 (pow.f64 x 2)) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3))) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))) |
(*.f64 -841/108 x) |
(-.f64 (*.f64 -841/108 x) 4/29) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x)))) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))) |
(*.f64 -841/108 x) |
(-.f64 (*.f64 -841/108 x) 4/29) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x)))) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))) |
4/29 |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 20511149/46656 (pow.f64 x 2)))) |
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3))))) |
(/.f64 -1728/707281 x) |
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))) |
(/.f64 -1728/707281 x) |
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) 4/29) (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (*.f64 x -841/108))) |
(+.f64 (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (*.f64 x -841/108)) (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) 4/29)) |
(+.f64 (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) 16/841) (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)))) |
(+.f64 (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))) (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) 16/841)) |
(+.f64 (*.f64 4/29 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) (*.f64 (*.f64 x -841/108) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)))) |
(+.f64 (*.f64 (*.f64 x -841/108) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) (*.f64 4/29 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)))) |
(+.f64 (*.f64 16/841 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (*.f64 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))))) |
(+.f64 (*.f64 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (*.f64 16/841 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)))) 1) |
(*.f64 707281/11664 (*.f64 (*.f64 x x) (/.f64 1 (fma.f64 x -841/108 4/29)))) |
(*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))) |
(*.f64 x (*.f64 (*.f64 707281/11664 x) (/.f64 1 (fma.f64 x -841/108 4/29)))) |
(*.f64 (*.f64 707281/11664 x) (*.f64 x (/.f64 1 (fma.f64 x -841/108 4/29)))) |
(*.f64 (*.f64 707281/11664 x) (*.f64 1 (/.f64 x (fma.f64 x -841/108 4/29)))) |
(*.f64 (*.f64 707281/11664 (*.f64 x x)) (/.f64 1 (fma.f64 x -841/108 4/29))) |
(*.f64 (*.f64 707281/11664 (*.f64 x x)) (/.f64 1 (+.f64 (*.f64 x -841/108) -4/29))) |
(*.f64 (*.f64 x -841/108) (*.f64 (*.f64 x -841/108) (/.f64 1 (fma.f64 x -841/108 4/29)))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)) 1) |
(*.f64 1 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x))) |
(*.f64 (/.f64 (*.f64 x -841/108) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (*.f64 x -841/108) (sqrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x))) 2) (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) 2) (*.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (/.f64 1 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 (*.f64 x x))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (sqrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (cbrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) 1) (/.f64 (fma.f64 x -841/108 4/29) (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) |
(*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) 1) (/.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) |
(*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (*.f64 707281/11664 x) (sqrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (*.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 1 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (*.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))))) |
(*.f64 (/.f64 (*.f64 707281/11664 x) (fma.f64 x -841/108 4/29)) x) |
(*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 x -841/108) -4/29)) (*.f64 707281/11664 (*.f64 x x))) |
(*.f64 (*.f64 1 (/.f64 x (fma.f64 x -841/108 4/29))) (*.f64 707281/11664 x)) |
(*.f64 (/.f64 707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 707281/11664 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 x 1) (/.f64 (*.f64 707281/11664 x) (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 (*.f64 707281/11664 x) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 (*.f64 707281/11664 x) (cbrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 (*.f64 707281/11664 x) 1) (/.f64 x (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 (*.f64 707281/11664 x) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 (*.f64 x -841/108) 1) (/.f64 (*.f64 x -841/108) (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 (*.f64 x -841/108) (fma.f64 x -841/108 4/29)) (*.f64 x -841/108)) |
(*.f64 (/.f64 (*.f64 x -841/108) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 (*.f64 x -841/108) (cbrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) 2) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (sqrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)))) |
(*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (*.f64 x (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (*.f64 x (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))))) |
(*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 -16/841 (*.f64 707281/11664 (*.f64 x x)))) (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 -16/841 (*.f64 707281/11664 (*.f64 x x)))) (+.f64 (*.f64 x -841/108) -4/29)) |
(*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 -64/24389 (neg.f64 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)))) |
(*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 -64/24389 (neg.f64 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))))) |
(*.f64 (/.f64 707281/11664 (/.f64 (fma.f64 x -841/108 4/29) x)) x) |
(*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (*.f64 x x)) |
(*.f64 (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) x)) 707281/11664) |
(*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 (*.f64 x -841/108) -4/29)) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 707281/11664 x) (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (/.f64 (*.f64 707281/11664 x) (/.f64 (fma.f64 x -841/108 4/29) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (-.f64 (*.f64 x -841/108) 4/29)) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 x -841/108 4/29) 707281/11664)) (*.f64 x x)) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 707281/11664 x))) x) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x -841/108))) (*.f64 x -841/108)) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (pow.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) 2))) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 841/108 (sqrt.f64 x)) (/.f64 (fma.f64 x -841/108 4/29) x)) (*.f64 841/108 (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 707281/11664 x)) 2) (/.f64 (fma.f64 x -841/108 4/29) x)) (cbrt.f64 (*.f64 707281/11664 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) 2) (fma.f64 x -841/108 4/29)) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) 1) 1) (/.f64 (fma.f64 x -841/108 4/29) (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) |
(*.f64 (/.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) 1) 1) (/.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) |
(*.f64 (/.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) 1) (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) 1) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)))) |
(*.f64 (/.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) 1) (+.f64 -16/841 (*.f64 707281/11664 (*.f64 x x)))) (+.f64 (*.f64 x -841/108) -4/29)) |
(*.f64 (/.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) 1) (+.f64 -64/24389 (neg.f64 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))))) |
(*.f64 (/.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) 1) (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (-.f64 (*.f64 x -841/108) 4/29)) |
(*.f64 (/.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))))) |
(*.f64 (/.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) (sqrt.f64 (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))))) |
(*.f64 (/.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) (cbrt.f64 (fma.f64 x -841/108 4/29))) |
(pow.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)) 1) |
(pow.f64 (/.f64 (*.f64 x -841/108) (sqrt.f64 (fma.f64 x -841/108 4/29))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 707281/11664 (*.f64 x x))) -1) |
(neg.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x))) |
(neg.f64 (/.f64 (*.f64 707281/11664 x) (/.f64 (fma.f64 x -841/108 4/29) (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) (pow.f64 (fma.f64 x -841/108 4/29) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)))) |
(+.f64 (*.f64 (/.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) 4/29) (*.f64 (/.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (*.f64 x -841/108))) |
(+.f64 (*.f64 (/.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (*.f64 x -841/108)) (*.f64 (/.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) 4/29)) |
(+.f64 (*.f64 (/.f64 16/841 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) 16/841) (*.f64 (/.f64 16/841 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)))) |
(+.f64 (*.f64 (/.f64 16/841 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))) (*.f64 (/.f64 16/841 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) 16/841)) |
(+.f64 (*.f64 4/29 (/.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) (*.f64 (*.f64 x -841/108) (/.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)))) |
(+.f64 (*.f64 (*.f64 x -841/108) (/.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) (*.f64 4/29 (/.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)))) |
(+.f64 (*.f64 16/841 (/.f64 16/841 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (*.f64 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)) (/.f64 16/841 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))))) |
(+.f64 (*.f64 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)) (/.f64 16/841 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (*.f64 16/841 (/.f64 16/841 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) 1) |
(*.f64 16/841 (/.f64 1 (fma.f64 x -841/108 4/29))) |
(*.f64 16/841 (/.f64 (fma.f64 x -841/108 4/29) (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) |
(*.f64 16/841 (/.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) |
(*.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 1) |
(*.f64 1 (/.f64 16/841 (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (cbrt.f64 (/.f64 256/707281 (pow.f64 (fma.f64 x -841/108 4/29) 2)))) |
(*.f64 (cbrt.f64 (/.f64 256/707281 (pow.f64 (fma.f64 x -841/108 4/29) 2))) (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) 16/841) |
(*.f64 -16/841 (/.f64 1 (+.f64 (*.f64 x -841/108) -4/29))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 16/841 (cbrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 16/841 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (*.f64 16/841 (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 1 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 256/707281 (*.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 x -841/108) -4/29)) -16/841) |
(*.f64 (/.f64 16/841 (+.f64 -16/841 (*.f64 707281/11664 (*.f64 x x)))) (+.f64 (*.f64 x -841/108) -4/29)) |
(*.f64 (/.f64 16/841 (+.f64 -64/24389 (neg.f64 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))))) |
(*.f64 (/.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (-.f64 (*.f64 x -841/108) 4/29)) |
(*.f64 (/.f64 -16/841 (+.f64 -16/841 (*.f64 707281/11664 (*.f64 x x)))) (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 -16/841 (+.f64 -64/24389 (neg.f64 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)))) |
(*.f64 (/.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))))) |
(*.f64 (/.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) (sqrt.f64 (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))))) |
(*.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) (cbrt.f64 (fma.f64 x -841/108 4/29))) |
(pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 1) |
(pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2) |
(pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 3) |
(pow.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3) 1/3) |
(pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 841/16) -1) |
(sqrt.f64 (/.f64 256/707281 (pow.f64 (fma.f64 x -841/108 4/29) 2))) |
(log.f64 (exp.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))) |
(cbrt.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) |
(exp.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 707281/11664 x))) 1) |
(pow.f64 (*.f64 707281/11664 x) 1) |
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 707281/11664 x)) 3) |
(pow.f64 (pow.f64 (*.f64 707281/11664 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 707281/11664 x) 2)) |
(log.f64 (pow.f64 (exp.f64 x) 707281/11664)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 707281/11664 x)))) |
(cbrt.f64 (pow.f64 (*.f64 707281/11664 x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 707281/11664 x))) |
(exp.f64 (log.f64 (*.f64 707281/11664 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 707281/11664 x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 707281/11664 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 1) |
(pow.f64 (*.f64 707281/11664 (*.f64 x x)) 1/2) |
(pow.f64 (*.f64 x -841/108) 1) |
(pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x -841/108)) 3) |
(pow.f64 (*.f64 -594823321/1259712 (pow.f64 x 3)) 1/3) |
(neg.f64 (*.f64 x -841/108)) |
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) |
(fabs.f64 (*.f64 x -841/108)) |
(log.f64 (pow.f64 (exp.f64 x) -841/108)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -841/108)))) |
(cbrt.f64 (*.f64 -594823321/1259712 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x -841/108))) |
(exp.f64 (log.f64 (*.f64 x -841/108))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x -841/108)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x -841/108))) |
| Outputs |
|---|
(*.f64 20511149/46656 (pow.f64 x 2)) |
(*.f64 20511149/46656 (*.f64 x x)) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3))) |
(fma.f64 20511149/46656 (*.f64 x x) (*.f64 500246412961/20155392 (pow.f64 x 3))) |
(fma.f64 500246412961/20155392 (pow.f64 x 3) (*.f64 20511149/46656 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 20511149/46656 (*.f64 x 500246412961/20155392))) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))) |
(fma.f64 20511149/46656 (*.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))) |
(fma.f64 20511149/46656 (*.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 297558232675799463481/3761479876608 (pow.f64 x 5) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))) |
(fma.f64 20511149/46656 (*.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 12200509765705829/8707129344 (pow.f64 x 4) (*.f64 297558232675799463481/3761479876608 (pow.f64 x 5))))) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(-.f64 (*.f64 -841/108 x) 4/29) |
(fma.f64 x -841/108 -4/29) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x)))) |
(-.f64 (fma.f64 x -841/108 -4/29) (/.f64 1728/707281 x)) |
(+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x)) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))) |
(-.f64 (fma.f64 x -841/108 -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x)))) |
(+.f64 (fma.f64 x -841/108 -4/29) (-.f64 (/.f64 -1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 -1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))) (fma.f64 x -841/108 -4/29)) |
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(/.f64 (+.f64 64/24389 (*.f64 x -4/27)) (fma.f64 707281/11664 (*.f64 x x) 16/841)) |
(*.f64 (/.f64 16/841 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)))) |
(/.f64 (*.f64 16/841 (+.f64 16/841 (*.f64 x (fma.f64 707281/11664 x -29/27)))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) |
(*.f64 16/841 (/.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (*.f64 16/841 (fma.f64 x -841/108 4/29))) |
(*.f64 16/841 (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 707281/11664 (*.f64 x x) 16/841))) |
(/.f64 (+.f64 (*.f64 x -4/27) 64/24389) (fma.f64 707281/11664 (*.f64 x x) 16/841)) |
(/.f64 (+.f64 64/24389 (*.f64 x -4/27)) (fma.f64 707281/11664 (*.f64 x x) 16/841)) |
(*.f64 (/.f64 1 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (+.f64 256/707281 (*.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))))) |
(/.f64 (*.f64 16/841 (+.f64 16/841 (*.f64 x (fma.f64 707281/11664 x -29/27)))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) |
(*.f64 16/841 (/.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 x -841/108) -4/29)) -16/841) |
(/.f64 -16/841 (fma.f64 x -841/108 -4/29)) |
(*.f64 (/.f64 16/841 (+.f64 -16/841 (*.f64 707281/11664 (*.f64 x x)))) (+.f64 (*.f64 x -841/108) -4/29)) |
(*.f64 (fma.f64 x -841/108 -4/29) (/.f64 16/841 (fma.f64 707281/11664 (*.f64 x x) -16/841))) |
(/.f64 (+.f64 -64/24389 (*.f64 x -4/27)) (fma.f64 707281/11664 (*.f64 x x) -16/841)) |
(*.f64 (/.f64 16/841 (+.f64 -64/24389 (neg.f64 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))))) |
(*.f64 (+.f64 -16/841 (neg.f64 (*.f64 x (fma.f64 707281/11664 x -29/27)))) (/.f64 16/841 (+.f64 -64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) |
(*.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841) (/.f64 -16/841 (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389))) |
(*.f64 (/.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (-.f64 (*.f64 x -841/108) 4/29)) |
(*.f64 (fma.f64 x -841/108 -4/29) (/.f64 16/841 (fma.f64 707281/11664 (*.f64 x x) -16/841))) |
(/.f64 (+.f64 -64/24389 (*.f64 x -4/27)) (fma.f64 707281/11664 (*.f64 x x) -16/841)) |
(*.f64 (/.f64 -16/841 (+.f64 -16/841 (*.f64 707281/11664 (*.f64 x x)))) (fma.f64 x -841/108 4/29)) |
(*.f64 (fma.f64 x -841/108 4/29) (/.f64 -16/841 (fma.f64 707281/11664 (*.f64 x x) -16/841))) |
(*.f64 (/.f64 -16/841 (+.f64 -64/24389 (neg.f64 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)))) |
(*.f64 (+.f64 -16/841 (neg.f64 (*.f64 x (fma.f64 707281/11664 x -29/27)))) (/.f64 16/841 (+.f64 -64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) |
(*.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841) (/.f64 -16/841 (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389))) |
(*.f64 (/.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))))) |
(/.f64 (*.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (+.f64 16/841 (*.f64 x (fma.f64 707281/11664 x -29/27))))) (sqrt.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)))) |
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841)) (/.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))) |
(*.f64 (/.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) (sqrt.f64 (fma.f64 x -841/108 4/29))) |
(*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (/.f64 16/841 (*.f64 (sqrt.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (fma.f64 x -841/108 4/29))))) |
(/.f64 (/.f64 16/841 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (sqrt.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27))))) |
(/.f64 (*.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 16/841 (*.f64 x (fma.f64 707281/11664 x -29/27))))) (cbrt.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)))) |
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841)) (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))) |
(*.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) (cbrt.f64 (fma.f64 x -841/108 4/29))) |
(/.f64 (*.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (fma.f64 x -841/108 4/29))) (cbrt.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 16/841) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841)))) |
(pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 1) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2) |
(pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 3) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(pow.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3) 1/3) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 841/16) -1) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(sqrt.f64 (/.f64 256/707281 (pow.f64 (fma.f64 x -841/108 4/29) 2))) |
(log.f64 (exp.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(cbrt.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3)) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(expm1.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(exp.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(exp.f64 (*.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 1)) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(log1p.f64 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 707281/11664 x))) 1) |
(*.f64 x 707281/11664) |
(pow.f64 (*.f64 707281/11664 x) 1) |
(*.f64 x 707281/11664) |
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 707281/11664 x)) 3) |
(*.f64 x 707281/11664) |
(pow.f64 (pow.f64 (*.f64 707281/11664 x) 3) 1/3) |
(*.f64 x 707281/11664) |
(sqrt.f64 (pow.f64 (*.f64 707281/11664 x) 2)) |
(sqrt.f64 (pow.f64 (*.f64 x 707281/11664) 2)) |
(fabs.f64 (*.f64 x 707281/11664)) |
(log.f64 (pow.f64 (exp.f64 x) 707281/11664)) |
(*.f64 x 707281/11664) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 707281/11664 x)))) |
(*.f64 x 707281/11664) |
(cbrt.f64 (pow.f64 (*.f64 707281/11664 x) 3)) |
(*.f64 x 707281/11664) |
(expm1.f64 (log1p.f64 (*.f64 707281/11664 x))) |
(*.f64 x 707281/11664) |
(exp.f64 (log.f64 (*.f64 707281/11664 x))) |
(*.f64 x 707281/11664) |
(exp.f64 (*.f64 (log.f64 (*.f64 707281/11664 x)) 1)) |
(*.f64 x 707281/11664) |
(log1p.f64 (expm1.f64 (*.f64 707281/11664 x))) |
(*.f64 x 707281/11664) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 1) |
(*.f64 x -841/108) |
(pow.f64 (*.f64 707281/11664 (*.f64 x x)) 1/2) |
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) |
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) |
(pow.f64 (*.f64 x -841/108) 1) |
(*.f64 x -841/108) |
(pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2) |
(*.f64 x -841/108) |
(pow.f64 (cbrt.f64 (*.f64 x -841/108)) 3) |
(*.f64 x -841/108) |
(pow.f64 (*.f64 -594823321/1259712 (pow.f64 x 3)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 x 3) -594823321/1259712)) |
(neg.f64 (*.f64 x -841/108)) |
(*.f64 x 841/108) |
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) |
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) |
(fabs.f64 (*.f64 x -841/108)) |
(*.f64 x -841/108) |
(log.f64 (pow.f64 (exp.f64 x) -841/108)) |
(*.f64 x -841/108) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -841/108)))) |
(*.f64 x -841/108) |
(cbrt.f64 (*.f64 -594823321/1259712 (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) -594823321/1259712)) |
(expm1.f64 (log1p.f64 (*.f64 x -841/108))) |
(*.f64 x -841/108) |
(exp.f64 (log.f64 (*.f64 x -841/108))) |
(*.f64 x -841/108) |
(exp.f64 (*.f64 (log.f64 (*.f64 x -841/108)) 1)) |
(*.f64 x -841/108) |
(log1p.f64 (expm1.f64 (*.f64 x -841/108))) |
(*.f64 x -841/108) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.02% | (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) |
| 0.16% | (*.f64 841/108 x) | |
| ✓ | 0.26% | (*.f64 -707281/11664 (*.f64 x x)) |
| ✓ | 25.3% | (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) |
Compiled 42 to 27 computations (35.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) |
| 0.0ms | x | @ | inf | (*.f64 -707281/11664 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1722× | associate-*r/ |
| 1422× | associate-*l/ |
| 954× | associate-/r* |
| 798× | associate-/l* |
| 294× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 69 |
| 1 | 295 | 61 |
| 2 | 3813 | 61 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) |
(*.f64 -707281/11664 (*.f64 x x)) |
(+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x 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(*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x 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x) 16/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -707281/11664 (*.f64 x x) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -707281/11664 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -707281/11664 (*.f64 x x)) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -707281/11664)) (*.f64 x (sqrt.f64 -707281/11664)) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -707281/11664 x) x 16/841))))) |
| 1× | egg-herbie |
| 1502× | associate-/r* |
| 1366× | unswap-sqr |
| 1282× | associate-/r/ |
| 448× | distribute-lft-neg-in |
| 400× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 5774 |
| 1 | 774 | 4710 |
| 2 | 3537 | 4710 |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
16/841 |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) 1) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))) |
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1) |
(*.f64 1 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) |
(*.f64 (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) |
(*.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) |
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (-.f64 4/29 (*.f64 x -841/108))) |
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) |
(pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) -1) |
(neg.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 -4/29 (*.f64 x -841/108)))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x)))) 1) |
(pow.f64 (*.f64 -707281/11664 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 3) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -707281/11664)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -707281/11664 (*.f64 x x))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) |
(expm1.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -707281/11664 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -707281/11664 (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 -707281/11664 (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x)))) 825/841) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 1) |
(-.f64 (/.f64 256/707281 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (/.f64 (pow.f64 x 4) (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) 500246412961/136048896))) |
(-.f64 (+.f64 16/841 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x))))) 1) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1) |
(*.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) |
(*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) |
(*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) |
(*.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(*.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 1 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1) |
(/.f64 1 (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) |
(/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 1 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) |
(/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) |
(/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) |
(/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))) |
(/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x))))) |
(/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 1 (/.f64 1 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x))))))) |
(/.f64 (sqrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (/.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))) (sqrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))) |
(/.f64 (sqrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (sqrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (cbrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))) (/.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))) (cbrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (cbrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))))) |
(/.f64 (neg.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(/.f64 (neg.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (neg.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) (-.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (*.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) |
(/.f64 (*.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) 1) (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))) (neg.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281)) (-.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))) (sqrt.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (cbrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))) (cbrt.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (cbrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) 1) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) 1) (neg.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) 1) (-.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (sqrt.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)) (cbrt.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(/.f64 (*.f64 (-.f64 65536/500246412961 (*.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) |
(/.f64 (*.f64 (-.f64 16777216/353814783205469041 (pow.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (+.f64 65536/500246412961 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))))) |
(/.f64 (*.f64 (-.f64 16777216/353814783205469041 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (/.f64 1 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))) (-.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) |
(/.f64 (*.f64 (+.f64 68719476736/210457284365172120330305161 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 3)) (/.f64 1 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))) (+.f64 16777216/353814783205469041 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (*.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))) |
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) |
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(/.f64 (/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) 1) (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (sqrt.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))) (sqrt.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))) |
(/.f64 (/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (*.f64 (cbrt.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x))))) (cbrt.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x))))))) (cbrt.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))) |
(pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 3) |
(pow.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2)) |
(log.f64 (exp.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) |
(cbrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) |
(exp.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x x) -707281/11664 16/841) |
(fma.f64 1 (*.f64 -707281/11664 (*.f64 x x)) 16/841) |
(fma.f64 (*.f64 x (sqrt.f64 -707281/11664)) (*.f64 x (sqrt.f64 -707281/11664)) 16/841) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 16/841) |
(fma.f64 (*.f64 -707281/11664 x) x 16/841) |
| Outputs |
|---|
4/29 |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x -707281/11664)) |
16/841 |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x -707281/11664)) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 -707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 x -707281/11664)) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) 1) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))) |
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29)) |
(*.f64 1 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29)) |
(*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))) |
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))) |
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2)) |
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(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2)) |
(fabs.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) |
(log.f64 (exp.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(cbrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3)) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(expm1.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(exp.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1)) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(log1p.f64 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x x) -707281/11664 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 1 (*.f64 -707281/11664 (*.f64 x x)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x (sqrt.f64 -707281/11664)) (*.f64 x (sqrt.f64 -707281/11664)) 16/841) |
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2) 16/841) |
(+.f64 16/841 (pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 16/841) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 16/841) |
(fma.f64 (*.f64 -707281/11664 x) x 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
Compiled 19608 to 15394 computations (21.5% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 858 | 3 | 861 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 1 | 3 |
| Total | 860 | 6 | 866 |
| Status | Error | Program |
|---|---|---|
| ✓ | 27.16% | (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) |
| ▶ | 0.43% | (-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x))) |
| ▶ | 29.76% | (-.f64 4/29 (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 4/29 (*.f64 -841/108 x)))) |
| ✓ | 0.07% | (+.f64 4/29 (*.f64 841/108 x)) |
| ▶ | 46.84% | (*.f64 841/108 x) |
| 52.15% | 4/29 |
Compiled 59 to 47 computations (20.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.16% | (*.f64 841/108 x) |
Compiled 6 to 4 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.16% | (*.f64 (*.f64 707281/11664 x) x) |
| 0.16% | (*.f64 -841/108 x) | |
| 0.29% | (*.f64 707281/11664 x) | |
| 25.41% | (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 4/29 (*.f64 -841/108 x))) |
Compiled 45 to 33 computations (26.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (*.f64 707281/11664 x) x) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 707281/11664 x) x) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 707281/11664 x) x) |
| 1× | batch-egg-rewrite |
| 1100× | add-sqr-sqrt |
| 1084× | *-un-lft-identity |
| 1028× | pow1 |
| 1014× | add-cube-cbrt |
| 1000× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 122 | 13 |
| 2 | 1384 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 707281/11664 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 707281/11664 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 707281/11664 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 707281/11664) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 707281/11664 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 707281/11664 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 707281/11664 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1554× | distribute-rgt-in |
| 1528× | distribute-lft-in |
| 1284× | log-prod |
| 814× | associate-*r* |
| 768× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 299 |
| 1 | 88 | 299 |
| 2 | 326 | 299 |
| 3 | 2081 | 299 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (*.f64 707281/11664 (*.f64 x x))) 1) |
(pow.f64 (*.f64 707281/11664 (*.f64 x x)) 1) |
(pow.f64 (*.f64 841/108 x) 2) |
(pow.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 2)) |
(log.f64 (pow.f64 (exp.f64 707281/11664) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 707281/11664 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 707281/11664 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 707281/11664 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(*.f64 707281/11664 (pow.f64 x 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(-.f64 (+.f64 1 (*.f64 707281/11664 (*.f64 x x))) 1) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(pow.f64 (*.f64 707281/11664 (*.f64 x x)) 1) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(pow.f64 (*.f64 841/108 x) 2) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(pow.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) 3) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(pow.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) 1/3) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(sqrt.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 2)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(log.f64 (pow.f64 (exp.f64 707281/11664) (*.f64 x x))) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(cbrt.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3)) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(expm1.f64 (log1p.f64 (*.f64 707281/11664 (*.f64 x x)))) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(exp.f64 (log.f64 (*.f64 707281/11664 (*.f64 x x)))) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
(log1p.f64 (expm1.f64 (*.f64 707281/11664 (*.f64 x x)))) |
(*.f64 707281/11664 (*.f64 x x)) |
(*.f64 x (*.f64 707281/11664 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.18% | (/.f64 x (fma.f64 x -841/108 4/29)) |
| 0.29% | (*.f64 707281/11664 x) | |
| ✓ | 0.38% | (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)) |
| 0.51% | (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) |
Compiled 62 to 47 computations (24.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)) |
| 0.0ms | x | @ | inf | (/.f64 x (fma.f64 x -841/108 4/29)) |
| 0.0ms | x | @ | -inf | (/.f64 x (fma.f64 x -841/108 4/29)) |
| 0.0ms | x | @ | 0 | (/.f64 x (fma.f64 x -841/108 4/29)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)) |
| 1× | batch-egg-rewrite |
| 1036× | *-commutative |
| 974× | associate-*r/ |
| 876× | associate-/r* |
| 732× | associate-*l/ |
| 700× | unswap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 1 | 232 | 42 |
| 2 | 2783 | 42 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x)) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 707281/11664 (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 707281/11664 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x 707281/11664)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (*.f64 707281/11664 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (*.f64 x 707281/11664) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 841/108 (sqrt.f64 x)) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (*.f64 841/108 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x 707281/11664)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x 707281/11664)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (*.f64 707281/11664 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (*.f64 x 707281/11664) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x 707281/11664)) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (cbrt.f64 (*.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 707281/11664 (*.f64 x x)) (/.f64 (fma.f64 x -841/108 4/29) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 x 841/108) -4/29) (*.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 (*.f64 707281/11664 (*.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x -841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x -841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x -841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x -841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x -841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x -841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x -841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x -841/108 4/29)))))))) |
| 1× | egg-herbie |
| 1312× | associate-/l* |
| 744× | associate-/l/ |
| 630× | distribute-rgt-in |
| 626× | distribute-lft-in |
| 494× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 491 | 6051 |
| 1 | 1352 | 5875 |
| 2 | 5969 | 5869 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 20511149/46656 (pow.f64 x 2)) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3))) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))) |
(*.f64 -841/108 x) |
(-.f64 (*.f64 -841/108 x) 4/29) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x)))) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))) |
(*.f64 -841/108 x) |
(-.f64 (*.f64 -841/108 x) 4/29) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x)))) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))) |
(*.f64 29/4 x) |
(+.f64 (*.f64 29/4 x) (*.f64 707281/1728 (pow.f64 x 2))) |
(+.f64 (*.f64 17249876309/746496 (pow.f64 x 3)) (+.f64 (*.f64 29/4 x) (*.f64 707281/1728 (pow.f64 x 2)))) |
(+.f64 (*.f64 17249876309/746496 (pow.f64 x 3)) (+.f64 (*.f64 29/4 x) (+.f64 (*.f64 707281/1728 (pow.f64 x 2)) (*.f64 420707233300201/322486272 (pow.f64 x 4))))) |
-108/841 |
(neg.f64 (+.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))) |
(neg.f64 (+.f64 108/841 (+.f64 (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 2))) (*.f64 46656/20511149 (/.f64 1 x))))) |
(neg.f64 (+.f64 108/841 (+.f64 (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 3))) (*.f64 46656/20511149 (/.f64 1 x)))))) |
-108/841 |
(neg.f64 (+.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))) |
(neg.f64 (+.f64 108/841 (+.f64 (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 2))) (*.f64 46656/20511149 (/.f64 1 x))))) |
(neg.f64 (+.f64 108/841 (+.f64 (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 3))) (*.f64 46656/20511149 (/.f64 1 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))) 1) |
(/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x 707281/11664))) |
(/.f64 707281/11664 (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) x)) |
(/.f64 (*.f64 x 707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x)) |
(/.f64 (*.f64 x (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1) |
(/.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 707281/11664 (*.f64 x x)))) |
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x 707281/11664)) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (*.f64 707281/11664 (sqrt.f64 x)))) |
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (*.f64 x 707281/11664) (sqrt.f64 x)))) |
(/.f64 (*.f64 841/108 (sqrt.f64 x)) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (*.f64 841/108 (sqrt.f64 x)))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x 707281/11664)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x 707281/11664)) (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (*.f64 707281/11664 (cbrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (*.f64 x 707281/11664) (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 x 707281/11664)) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (cbrt.f64 (*.f64 x 707281/11664)))) |
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x -841/108 4/29) 707281/11664)) |
(/.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) (/.f64 1 x)) |
(/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29)) |
(/.f64 (*.f64 707281/11664 (*.f64 x x)) (/.f64 (fma.f64 x -841/108 4/29) 1)) |
(/.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 x 841/108) -4/29) (*.f64 x 707281/11664))) |
(/.f64 (sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 (*.f64 707281/11664 (*.f64 x x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x)))) (/.f64 (fma.f64 x -841/108 4/29) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))))) |
(/.f64 (/.f64 (*.f64 x 707281/11664) (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))) (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))) |
(/.f64 (*.f64 x (*.f64 841/108 (sqrt.f64 x))) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 841/108 (sqrt.f64 x)))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) (/.f64 (fma.f64 x -841/108 4/29) (cbrt.f64 (*.f64 x 707281/11664)))) |
(/.f64 (*.f64 707281/11664 (sqrt.f64 x)) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (sqrt.f64 x))) |
(/.f64 (*.f64 707281/11664 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (cbrt.f64 x))) |
(/.f64 (*.f64 (*.f64 x 707281/11664) (sqrt.f64 x)) (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) -707281/11664) (+.f64 (*.f64 x 841/108) -4/29)) |
(/.f64 (/.f64 (*.f64 x x) 11664/707281) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (fma.f64 x -841/108 4/29))) |
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (*.f64 x 707281/11664))) (cbrt.f64 (fma.f64 x -841/108 4/29))) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 841/108 (sqrt.f64 x))) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (sqrt.f64 x) (*.f64 841/108 (sqrt.f64 x))))) |
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(*.f64 (/.f64 (/.f64 x 1) (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (-.f64 (*.f64 x -841/108) 4/29)) |
(*.f64 (/.f64 (/.f64 x 1) (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 16/841 (*.f64 (*.f64 x 841/108) 4/29)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))))) (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))))) |
(pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 3) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 x -841/108 4/29) x) -1) |
(neg.f64 (/.f64 x (+.f64 (*.f64 x 841/108) -4/29))) |
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x -841/108 4/29))) |
(neg.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x 841/108) -4/29)) 1)) |
(neg.f64 (*.f64 x (/.f64 -1 (fma.f64 x -841/108 4/29)))) |
(neg.f64 (*.f64 1 (/.f64 x (+.f64 (*.f64 x 841/108) -4/29)))) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 2)) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x -841/108 4/29))))) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) |
| Outputs |
|---|
(*.f64 20511149/46656 (pow.f64 x 2)) |
(*.f64 20511149/46656 (*.f64 x x)) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3))) |
(fma.f64 20511149/46656 (*.f64 x x) (*.f64 500246412961/20155392 (pow.f64 x 3))) |
(fma.f64 500246412961/20155392 (pow.f64 x 3) (*.f64 20511149/46656 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x 500246412961/20155392) 20511149/46656)) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))) |
(fma.f64 20511149/46656 (*.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))) |
(fma.f64 20511149/46656 (*.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 297558232675799463481/3761479876608 (pow.f64 x 5) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))) |
(fma.f64 20511149/46656 (*.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 12200509765705829/8707129344 (pow.f64 x 4) (*.f64 297558232675799463481/3761479876608 (pow.f64 x 5))))) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(-.f64 (*.f64 -841/108 x) 4/29) |
(fma.f64 x -841/108 -4/29) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x)))) |
(-.f64 (fma.f64 x -841/108 -4/29) (/.f64 1728/707281 x)) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))) |
(-.f64 (fma.f64 x -841/108 -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x)))) |
(-.f64 (-.f64 (fma.f64 x -841/108 -4/29) (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(-.f64 (*.f64 -841/108 x) 4/29) |
(fma.f64 x -841/108 -4/29) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x)))) |
(-.f64 (fma.f64 x -841/108 -4/29) (/.f64 1728/707281 x)) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))) |
(-.f64 (fma.f64 x -841/108 -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x)))) |
(-.f64 (-.f64 (fma.f64 x -841/108 -4/29) (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))) |
(*.f64 29/4 x) |
(*.f64 x 29/4) |
(+.f64 (*.f64 29/4 x) (*.f64 707281/1728 (pow.f64 x 2))) |
(fma.f64 29/4 x (*.f64 707281/1728 (*.f64 x x))) |
(fma.f64 x 29/4 (*.f64 x (*.f64 x 707281/1728))) |
(*.f64 x (+.f64 29/4 (*.f64 707281/1728 x))) |
(+.f64 (*.f64 17249876309/746496 (pow.f64 x 3)) (+.f64 (*.f64 29/4 x) (*.f64 707281/1728 (pow.f64 x 2)))) |
(fma.f64 17249876309/746496 (pow.f64 x 3) (fma.f64 29/4 x (*.f64 707281/1728 (*.f64 x x)))) |
(fma.f64 (pow.f64 x 3) 17249876309/746496 (fma.f64 x 29/4 (*.f64 x (*.f64 x 707281/1728)))) |
(fma.f64 (pow.f64 x 3) 17249876309/746496 (*.f64 x (+.f64 29/4 (*.f64 707281/1728 x)))) |
(+.f64 (*.f64 17249876309/746496 (pow.f64 x 3)) (+.f64 (*.f64 29/4 x) (+.f64 (*.f64 707281/1728 (pow.f64 x 2)) (*.f64 420707233300201/322486272 (pow.f64 x 4))))) |
(fma.f64 17249876309/746496 (pow.f64 x 3) (fma.f64 29/4 x (fma.f64 707281/1728 (*.f64 x x) (*.f64 (pow.f64 x 4) 420707233300201/322486272)))) |
(fma.f64 (pow.f64 x 3) 17249876309/746496 (fma.f64 x 29/4 (fma.f64 (pow.f64 x 4) 420707233300201/322486272 (*.f64 x (*.f64 x 707281/1728))))) |
-108/841 |
(neg.f64 (+.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))) |
(+.f64 -108/841 (neg.f64 (/.f64 46656/20511149 x))) |
(+.f64 -108/841 (/.f64 -46656/20511149 x)) |
(neg.f64 (+.f64 108/841 (+.f64 (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 2))) (*.f64 46656/20511149 (/.f64 1 x))))) |
(+.f64 -108/841 (neg.f64 (+.f64 (/.f64 46656/20511149 x) (/.f64 20155392/500246412961 (*.f64 x x))))) |
(-.f64 -108/841 (+.f64 (/.f64 46656/20511149 x) (/.f64 20155392/500246412961 (*.f64 x x)))) |
(+.f64 -108/841 (-.f64 (/.f64 -46656/20511149 x) (/.f64 20155392/500246412961 (*.f64 x x)))) |
(neg.f64 (+.f64 108/841 (+.f64 (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 3))) (*.f64 46656/20511149 (/.f64 1 x)))))) |
(+.f64 -108/841 (neg.f64 (+.f64 (/.f64 20155392/500246412961 (*.f64 x x)) (+.f64 (/.f64 46656/20511149 x) (/.f64 8707129344/12200509765705829 (pow.f64 x 3)))))) |
(-.f64 -108/841 (+.f64 (/.f64 46656/20511149 x) (+.f64 (/.f64 20155392/500246412961 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 3))))) |
(+.f64 -108/841 (-.f64 (/.f64 -46656/20511149 x) (+.f64 (/.f64 20155392/500246412961 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 3))))) |
-108/841 |
(neg.f64 (+.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))) |
(+.f64 -108/841 (neg.f64 (/.f64 46656/20511149 x))) |
(+.f64 -108/841 (/.f64 -46656/20511149 x)) |
(neg.f64 (+.f64 108/841 (+.f64 (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 2))) (*.f64 46656/20511149 (/.f64 1 x))))) |
(+.f64 -108/841 (neg.f64 (+.f64 (/.f64 46656/20511149 x) (/.f64 20155392/500246412961 (*.f64 x x))))) |
(-.f64 -108/841 (+.f64 (/.f64 46656/20511149 x) (/.f64 20155392/500246412961 (*.f64 x x)))) |
(+.f64 -108/841 (-.f64 (/.f64 -46656/20511149 x) (/.f64 20155392/500246412961 (*.f64 x x)))) |
(neg.f64 (+.f64 108/841 (+.f64 (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 3))) (*.f64 46656/20511149 (/.f64 1 x)))))) |
(+.f64 -108/841 (neg.f64 (+.f64 (/.f64 20155392/500246412961 (*.f64 x x)) (+.f64 (/.f64 46656/20511149 x) (/.f64 8707129344/12200509765705829 (pow.f64 x 3)))))) |
(-.f64 -108/841 (+.f64 (/.f64 46656/20511149 x) (+.f64 (/.f64 20155392/500246412961 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 3))))) |
(+.f64 -108/841 (-.f64 (/.f64 -46656/20511149 x) (+.f64 (/.f64 20155392/500246412961 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 3))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))) 1) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x 707281/11664))) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 707281/11664 (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) x)) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (*.f64 x 707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x)) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (*.f64 x (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 707281/11664 (*.f64 x x)))) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x 707281/11664)) (sqrt.f64 x))) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (*.f64 707281/11664 (sqrt.f64 x)))) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (*.f64 x 707281/11664) (sqrt.f64 x)))) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (*.f64 841/108 (sqrt.f64 x)) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (*.f64 841/108 (sqrt.f64 x)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) 841/108) (/.f64 (fma.f64 x -841/108 4/29) x)) (*.f64 (sqrt.f64 x) 841/108)) |
(*.f64 (*.f64 x 841/108) (/.f64 (*.f64 x 841/108) (fma.f64 x -841/108 4/29))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x 707281/11664)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x 707281/11664)) (cbrt.f64 x))) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (*.f64 707281/11664 (cbrt.f64 x)))) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (*.f64 x 707281/11664) (cbrt.f64 x)))) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (cbrt.f64 (*.f64 x 707281/11664)) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 707281/11664)) (/.f64 (fma.f64 x -841/108 4/29) x)) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) |
(*.f64 (cbrt.f64 (*.f64 x 707281/11664)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2) (/.f64 (fma.f64 x -841/108 4/29) x))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) x) (cbrt.f64 (*.f64 x 707281/11664)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 707281/11664)) (/.f64 (fma.f64 x -841/108 4/29) x)) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) |
(*.f64 (cbrt.f64 (*.f64 x 707281/11664)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2) (/.f64 (fma.f64 x -841/108 4/29) x))) |
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x -841/108 4/29) 707281/11664)) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) (/.f64 1 x)) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29)) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (*.f64 707281/11664 (*.f64 x x)) (/.f64 (fma.f64 x -841/108 4/29) 1)) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 x 841/108) -4/29) (*.f64 x 707281/11664))) |
(*.f64 (*.f64 x -707281/11664) (/.f64 x (fma.f64 x 841/108 -4/29))) |
(*.f64 x (*.f64 -707281/11664 (/.f64 x (fma.f64 x 841/108 -4/29)))) |
(*.f64 -707281/11664 (*.f64 x (/.f64 x (fma.f64 x 841/108 -4/29)))) |
(/.f64 (sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 (*.f64 707281/11664 (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29)) (sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) (fma.f64 x -841/108 4/29))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x)))) (/.f64 (fma.f64 x -841/108 4/29) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))))) |
(/.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (/.f64 (/.f64 (fma.f64 x -841/108 4/29) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x)))) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (/.f64 (fma.f64 x -841/108 4/29) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))))) |
(/.f64 (/.f64 (*.f64 x 707281/11664) (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))) (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(/.f64 (*.f64 x (*.f64 841/108 (sqrt.f64 x))) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 841/108 (sqrt.f64 x)))) |
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(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))) |
(*.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) 1) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 x (/.f64 1 (fma.f64 x -841/108 4/29))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 1) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 1 (/.f64 x (fma.f64 x -841/108 4/29))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x -841/108 4/29))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2)) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2) (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (fma.f64 x -841/108 4/29))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) x) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (neg.f64 x) (/.f64 -1 (fma.f64 x -841/108 4/29))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 x -841/108 4/29)) (sqrt.f64 x)) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 x -841/108 4/29)) (/.f64 (sqrt.f64 x) 1)) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (cbrt.f64 x) (fma.f64 x -841/108 4/29)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (cbrt.f64 x) (fma.f64 x -841/108 4/29)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29)))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29)))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x -841/108 4/29)))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 -1 (fma.f64 x -841/108 4/29)) (neg.f64 x)) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x -841/108 4/29))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x -841/108 4/29)))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x -841/108 4/29))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x -841/108 4/29)))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x -841/108 4/29)))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -841/108 4/29)) (cbrt.f64 x)) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 x (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (-.f64 (*.f64 x -841/108) 4/29)) |
(*.f64 (/.f64 x (fma.f64 707281/11664 (*.f64 x x) -16/841)) (fma.f64 x -841/108 -4/29)) |
(/.f64 (*.f64 x (fma.f64 x -841/108 -4/29)) (fma.f64 x (*.f64 x 707281/11664) -16/841)) |
(*.f64 (/.f64 x (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 16/841 (*.f64 (*.f64 x 841/108) 4/29)))) |
(*.f64 (/.f64 x (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) (fma.f64 707281/11664 (*.f64 x x) (+.f64 16/841 (*.f64 x 29/27)))) |
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x 29/27 16/841)))) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 (/.f64 x 1) (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (-.f64 (*.f64 x -841/108) 4/29)) |
(*.f64 (/.f64 x (fma.f64 707281/11664 (*.f64 x x) -16/841)) (fma.f64 x -841/108 -4/29)) |
(/.f64 (*.f64 x (fma.f64 x -841/108 -4/29)) (fma.f64 x (*.f64 x 707281/11664) -16/841)) |
(*.f64 (/.f64 (/.f64 x 1) (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 16/841 (*.f64 (*.f64 x 841/108) 4/29)))) |
(*.f64 (/.f64 x (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) (fma.f64 707281/11664 (*.f64 x x) (+.f64 16/841 (*.f64 x 29/27)))) |
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x 29/27 16/841)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))))) (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29)))))) |
(pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 1) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 2) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 3) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 3) 1/3) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(pow.f64 (/.f64 (fma.f64 x -841/108 4/29) x) -1) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(neg.f64 (/.f64 x (+.f64 (*.f64 x 841/108) -4/29))) |
(/.f64 (neg.f64 x) (fma.f64 x 841/108 -4/29)) |
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x -841/108 4/29))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(neg.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x 841/108) -4/29)) 1)) |
(/.f64 (neg.f64 x) (fma.f64 x 841/108 -4/29)) |
(neg.f64 (*.f64 x (/.f64 -1 (fma.f64 x -841/108 4/29)))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(neg.f64 (*.f64 1 (/.f64 x (+.f64 (*.f64 x 841/108) -4/29)))) |
(/.f64 (neg.f64 x) (fma.f64 x 841/108 -4/29)) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 2)) |
(fabs.f64 (/.f64 x (fma.f64 x -841/108 4/29))) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x -841/108 4/29))))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 3)) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x -841/108 4/29)))) |
(/.f64 x (fma.f64 x -841/108 4/29)) |
Compiled 13705 to 10507 computations (23.3% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 602 | 2 | 604 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 4 | 4 |
| Total | 603 | 7 | 610 |
| Status | Error | Program |
|---|---|---|
| ✓ | 27.16% | (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) |
| ▶ | 0.46% | (-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 x 841/108) -4/29) (*.f64 x 707281/11664)))) |
| ✓ | 29.76% | (-.f64 4/29 (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 4/29 (*.f64 -841/108 x)))) |
| ▶ | 39.67% | (-.f64 4/29 (-.f64 (*.f64 -841/108 x) 4/29)) |
| ✓ | 0.07% | (+.f64 4/29 (*.f64 841/108 x)) |
| ✓ | 46.84% | (*.f64 841/108 x) |
| 52.15% | 4/29 |
Compiled 69 to 56 computations (18.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (-.f64 (*.f64 -841/108 x) 4/29) |
| ✓ | 0.04% | (-.f64 4/29 (-.f64 (*.f64 -841/108 x) 4/29)) |
| 0.16% | (*.f64 -841/108 x) |
Compiled 19 to 15 computations (21.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 4/29 (-.f64 (*.f64 -841/108 x) 4/29)) |
| 0.0ms | x | @ | inf | (-.f64 4/29 (-.f64 (*.f64 -841/108 x) 4/29)) |
| 0.0ms | x | @ | -inf | (-.f64 4/29 (-.f64 (*.f64 -841/108 x) 4/29)) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 -841/108 x) 4/29) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 -841/108 x) 4/29) |
| 1× | batch-egg-rewrite |
| 894× | associate-*r/ |
| 794× | *-commutative |
| 632× | associate-*l/ |
| 518× | unswap-sqr |
| 506× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 188 | 24 |
| 2 | 2466 | 22 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 4/29 (-.f64 (*.f64 -841/108 x) 4/29)) |
(-.f64 (*.f64 -841/108 x) 4/29) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (+.f64 4/29 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (-.f64 (*.f64 x 841/108) -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 4/29 (*.f64 x 841/108)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 841/108) 8/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 8/29 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 4/29 (exp.f64 (log1p.f64 (fma.f64 -841/108 x -4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 4/29 (/.f64 (*.f64 x x) (/.f64 (fma.f64 -841/108 x 4/29) 707281/11664))) (/.f64 16/841 (fma.f64 -841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 4/29 (/.f64 (pow.f64 x 3) (/.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))) -594823321/1259712))) (/.f64 64/24389 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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| 1× | egg-herbie |
| 1052× | associate-/l/ |
| 880× | associate-/r/ |
| 818× | associate-+l+ |
| 658× | associate-+r+ |
| 604× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 441 | 7358 |
| 1 | 1292 | 6598 |
| 2 | 5314 | 6526 |
| 1× | node limit |
| Inputs |
|---|
8/29 |
(+.f64 8/29 (*.f64 841/108 x)) |
(+.f64 8/29 (*.f64 841/108 x)) |
(+.f64 8/29 (*.f64 841/108 x)) |
(*.f64 841/108 x) |
(+.f64 8/29 (*.f64 841/108 x)) |
(+.f64 8/29 (*.f64 841/108 x)) |
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(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389) (+.f64 (pow.f64 (*.f64 (*.f64 x x) 707281/11664) 3) (pow.f64 (+.f64 16/841 (*.f64 x -29/27)) 3))) (+.f64 (*.f64 500246412961/136048896 (*.f64 x (pow.f64 x 3))) (*.f64 (+.f64 16/841 (*.f64 x -29/27)) (-.f64 (+.f64 16/841 (*.f64 x -29/27)) (*.f64 (*.f64 x x) 707281/11664))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29))) (cbrt.f64 (fma.f64 -841/108 x -4/29))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29))) (cbrt.f64 (fma.f64 -841/108 x -4/29)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -841/108 x -4/29))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -841/108 x -4/29))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)) (sqrt.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)))) (*.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)) (sqrt.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -841/108 x -4/29)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -841/108 x -4/29))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 -841/108 x -4/29) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 -841/108 x -4/29) 3) 1/6)) |
(/.f64 1 (/.f64 1 (fma.f64 -841/108 x -4/29))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (+.f64 16/841 (*.f64 (*.f64 x 841/108) -4/29))) (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (fma.f64 -841/108 x 4/29)) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389) (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29)))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (+.f64 16/841 (*.f64 (*.f64 x 841/108) -4/29)))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389)) (/.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389)))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389)) (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (+.f64 16/841 (*.f64 (*.f64 x 841/108) -4/29))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389)))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (/.f64 (fma.f64 -841/108 x 4/29) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389))) (/.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389))) (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (+.f64 16/841 (*.f64 (*.f64 x 841/108) -4/29))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841))) (/.f64 (fma.f64 -841/108 x 4/29) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)))) |
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) 707281/11664)) 16/841) (+.f64 -4/29 (*.f64 x 841/108))) |
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 3) -594823321/1259712)) 64/24389) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))))) |
(/.f64 (-.f64 (*.f64 500246412961/136048896 (*.f64 x (pow.f64 x 3))) 256/707281) (*.f64 (fma.f64 -841/108 x 4/29) (+.f64 (*.f64 (*.f64 x x) 707281/11664) 16/841))) |
(/.f64 (-.f64 (*.f64 353814783205469041/1586874322944 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) 4096/594823321) (*.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)))) |
(/.f64 (-.f64 (*.f64 353814783205469041/1586874322944 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) 4096/594823321) (*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (+.f64 16/841 (*.f64 (*.f64 x 841/108) -4/29))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) 707281/11664) 3) 4096/594823321) (*.f64 (fma.f64 -841/108 x 4/29) (+.f64 (+.f64 (*.f64 500246412961/136048896 (*.f64 x (pow.f64 x 3))) 256/707281) (*.f64 (*.f64 x x) 841/729)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) 3) 262144/14507145975869) (*.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))) (+.f64 (+.f64 (*.f64 353814783205469041/1586874322944 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) 4096/594823321) (*.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) 3) 262144/14507145975869) (*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (+.f64 16/841 (*.f64 (*.f64 x 841/108) -4/29))) (+.f64 (+.f64 (*.f64 353814783205469041/1586874322944 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) 4096/594823321) (*.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -841/108 x -4/29)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -841/108 x -4/29)) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841))) (sqrt.f64 (fma.f64 -841/108 x 4/29))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)) 2) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841))) (cbrt.f64 (fma.f64 -841/108 x 4/29))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) 707281/11664)) 16/841) 1) (+.f64 -4/29 (*.f64 x 841/108))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 3) -594823321/1259712)) 64/24389) 1) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389)) (sqrt.f64 (fma.f64 -841/108 x -4/29))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (sqrt.f64 (fma.f64 -841/108 x -4/29))) (sqrt.f64 (fma.f64 -841/108 x 4/29))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389)) (pow.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)) 2)) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)) 2)) (cbrt.f64 (fma.f64 -841/108 x 4/29))) |
(/.f64 (*.f64 (-.f64 (*.f64 500246412961/136048896 (*.f64 x (pow.f64 x 3))) 256/707281) (/.f64 1 (fma.f64 -841/108 x 4/29))) (+.f64 (*.f64 (*.f64 x x) 707281/11664) 16/841)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) 707281/11664) 3) 4096/594823321) (/.f64 1 (fma.f64 -841/108 x 4/29))) (+.f64 (+.f64 (*.f64 500246412961/136048896 (*.f64 x (pow.f64 x 3))) 256/707281) (*.f64 (*.f64 x x) 841/729))) |
(/.f64 (*.f64 (-.f64 (*.f64 353814783205469041/1586874322944 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) 4096/594823321) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) 3) 262144/14507145975869) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))))) (+.f64 (+.f64 (*.f64 353814783205469041/1586874322944 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) 4096/594823321) (*.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) 1) (fma.f64 -841/108 x 4/29)) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (sqrt.f64 (fma.f64 -841/108 x 4/29))) (sqrt.f64 (fma.f64 -841/108 x 4/29))) |
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (*.f64 (cbrt.f64 (fma.f64 -841/108 x 4/29)) (cbrt.f64 (fma.f64 -841/108 x 4/29)))) (cbrt.f64 (fma.f64 -841/108 x 4/29))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389) 1) (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29)))))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))))) |
(pow.f64 (fma.f64 -841/108 x -4/29) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -841/108 x -4/29)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)) 3) |
(pow.f64 (pow.f64 (fma.f64 -841/108 x -4/29) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (+.f64 -4/29 (*.f64 x 841/108)))) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29)))))) |
(sqrt.f64 (pow.f64 (fma.f64 -841/108 x -4/29) 2)) |
(log.f64 (exp.f64 (fma.f64 -841/108 x -4/29))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -841/108 x -4/29)))) |
(cbrt.f64 (pow.f64 (fma.f64 -841/108 x -4/29) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -841/108 x -4/29))) |
(exp.f64 (log.f64 (fma.f64 -841/108 x -4/29))) |
(log1p.f64 (expm1.f64 (fma.f64 -841/108 x -4/29))) |
(fma.f64 -841/108 x -4/29) |
(fma.f64 x -841/108 -4/29) |
(fma.f64 1 (*.f64 -841/108 x) -4/29) |
(fma.f64 (sqrt.f64 (*.f64 -841/108 x)) (sqrt.f64 (*.f64 -841/108 x)) -4/29) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -841/108 x)) 2) (cbrt.f64 (*.f64 -841/108 x)) -4/29) |
| Outputs |
|---|
8/29 |
(+.f64 8/29 (*.f64 841/108 x)) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(+.f64 8/29 (*.f64 841/108 x)) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(+.f64 8/29 (*.f64 841/108 x)) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(*.f64 841/108 x) |
(+.f64 8/29 (*.f64 841/108 x)) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(+.f64 8/29 (*.f64 841/108 x)) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(+.f64 8/29 (*.f64 841/108 x)) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(*.f64 841/108 x) |
(+.f64 8/29 (*.f64 841/108 x)) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(+.f64 8/29 (*.f64 841/108 x)) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(+.f64 8/29 (*.f64 841/108 x)) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
-4/29 |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(+.f64 4/29 (+.f64 4/29 (*.f64 x 841/108))) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(+.f64 4/29 (-.f64 (*.f64 x 841/108) -4/29)) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(+.f64 (+.f64 4/29 (*.f64 x 841/108)) 4/29) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(+.f64 (*.f64 x 841/108) 8/29) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(+.f64 8/29 (*.f64 x 841/108)) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(+.f64 (-.f64 4/29 (exp.f64 (log1p.f64 (fma.f64 -841/108 x -4/29)))) 1) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(+.f64 (-.f64 4/29 (/.f64 (*.f64 x x) (/.f64 (fma.f64 -841/108 x 4/29) 707281/11664))) (/.f64 16/841 (fma.f64 -841/108 x 4/29))) |
(+.f64 (-.f64 4/29 (*.f64 (/.f64 (*.f64 x x) (fma.f64 -841/108 x 4/29)) 707281/11664)) (/.f64 16/841 (fma.f64 -841/108 x 4/29))) |
(+.f64 (+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 4/29) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) -707281/11664)) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) -707281/11664) (+.f64 4/29 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) |
(+.f64 (-.f64 4/29 (/.f64 (pow.f64 x 3) (/.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))) -594823321/1259712))) (/.f64 64/24389 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))))) |
(-.f64 4/29 (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (+.f64 16/841 (*.f64 -841/108 (*.f64 x (fma.f64 -841/108 x 4/29))))) -594823321/1259712) (/.f64 64/24389 (+.f64 16/841 (*.f64 -841/108 (*.f64 x (fma.f64 -841/108 x 4/29))))))) |
(-.f64 4/29 (-.f64 (*.f64 -594823321/1259712 (/.f64 (pow.f64 x 3) (fma.f64 -841/108 (*.f64 x (fma.f64 x -841/108 4/29)) 16/841))) (/.f64 64/24389 (fma.f64 -841/108 (*.f64 x (fma.f64 x -841/108 4/29)) 16/841)))) |
(*.f64 (+.f64 (*.f64 x 841/108) 8/29) 1) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(*.f64 1 (+.f64 (*.f64 x 841/108) 8/29)) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 x 841/108) 8/29)) (sqrt.f64 (+.f64 (*.f64 x 841/108) 8/29))) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(*.f64 (cbrt.f64 (+.f64 (*.f64 x 841/108) 8/29)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 841/108) 8/29)) 2)) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 841/108) 8/29)) 2) (cbrt.f64 (+.f64 (*.f64 x 841/108) 8/29))) |
(fma.f64 x 841/108 8/29) |
(fma.f64 841/108 x 8/29) |
(*.f64 (-.f64 16/841 (pow.f64 (fma.f64 -841/108 x -4/29) 2)) (/.f64 1 (+.f64 (*.f64 -841/108 x) 0))) |
(*.f64 (-.f64 16/841 (pow.f64 (fma.f64 x -841/108 -4/29) 2)) (/.f64 1 (*.f64 x -841/108))) |
(*.f64 (-.f64 16/841 (pow.f64 (fma.f64 x -841/108 -4/29) 2)) (/.f64 -108/841 x)) |
(*.f64 (-.f64 64/24389 (pow.f64 (fma.f64 -841/108 x -4/29) 3)) (/.f64 1 (+.f64 16/841 (*.f64 (fma.f64 -841/108 x -4/29) (+.f64 (*.f64 -841/108 x) 0))))) |
(/.f64 (*.f64 (-.f64 64/24389 (pow.f64 (fma.f64 x -841/108 -4/29) 3)) 1) (+.f64 16/841 (*.f64 (fma.f64 x -841/108 -4/29) (*.f64 x -841/108)))) |
(/.f64 (-.f64 64/24389 (pow.f64 (fma.f64 x -841/108 -4/29) 3)) (fma.f64 (fma.f64 x -841/108 -4/29) (*.f64 x -841/108) 16/841)) |
(*.f64 (/.f64 1 (+.f64 (*.f64 -841/108 x) 0)) (-.f64 16/841 (pow.f64 (fma.f64 -841/108 x -4/29) 2))) |
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(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29)))))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 -64/24389) 1) (+.f64 16/841 (*.f64 -841/108 (*.f64 x (fma.f64 -841/108 x 4/29))))) |
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 -64/24389) (fma.f64 -841/108 (*.f64 x (fma.f64 x -841/108 4/29)) 16/841)) |
(pow.f64 (fma.f64 -841/108 x -4/29) 1) |
(fma.f64 x -841/108 -4/29) |
(pow.f64 (sqrt.f64 (fma.f64 -841/108 x -4/29)) 2) |
(fma.f64 x -841/108 -4/29) |
(pow.f64 (cbrt.f64 (fma.f64 -841/108 x -4/29)) 3) |
(fma.f64 x -841/108 -4/29) |
(pow.f64 (pow.f64 (fma.f64 -841/108 x -4/29) 3) 1/3) |
(fma.f64 x -841/108 -4/29) |
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (+.f64 -4/29 (*.f64 x 841/108)))) |
(/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 841/108 x -4/29)) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 -841/108 x 4/29)))))) |
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 -16/841 (neg.f64 (*.f64 -841/108 (*.f64 x (fma.f64 -841/108 x 4/29)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (-.f64 -16/841 (*.f64 x (*.f64 -841/108 (fma.f64 x -841/108 4/29))))) |
(sqrt.f64 (pow.f64 (fma.f64 -841/108 x -4/29) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 x -841/108 -4/29) 2)) |
(fabs.f64 (fma.f64 x -841/108 -4/29)) |
(log.f64 (exp.f64 (fma.f64 -841/108 x -4/29))) |
(fma.f64 x -841/108 -4/29) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -841/108 x -4/29)))) |
(fma.f64 x -841/108 -4/29) |
(cbrt.f64 (pow.f64 (fma.f64 -841/108 x -4/29) 3)) |
(fma.f64 x -841/108 -4/29) |
(expm1.f64 (log1p.f64 (fma.f64 -841/108 x -4/29))) |
(fma.f64 x -841/108 -4/29) |
(exp.f64 (log.f64 (fma.f64 -841/108 x -4/29))) |
(fma.f64 x -841/108 -4/29) |
(log1p.f64 (expm1.f64 (fma.f64 -841/108 x -4/29))) |
(fma.f64 x -841/108 -4/29) |
(fma.f64 -841/108 x -4/29) |
(fma.f64 x -841/108 -4/29) |
(fma.f64 x -841/108 -4/29) |
(fma.f64 1 (*.f64 -841/108 x) -4/29) |
(fma.f64 x -841/108 -4/29) |
(fma.f64 (sqrt.f64 (*.f64 -841/108 x)) (sqrt.f64 (*.f64 -841/108 x)) -4/29) |
(fma.f64 x -841/108 -4/29) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -841/108 x)) 2) (cbrt.f64 (*.f64 -841/108 x)) -4/29) |
(fma.f64 x -841/108 -4/29) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.29% | (*.f64 x 707281/11664) |
| ✓ | 0.34% | (/.f64 (+.f64 (*.f64 x 841/108) -4/29) (*.f64 x 707281/11664)) |
| ✓ | 0.36% | (/.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 x 841/108) -4/29) (*.f64 x 707281/11664))) |
| 0.51% | (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) |
Compiled 77 to 58 computations (24.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 (*.f64 x 841/108) -4/29) (*.f64 x 707281/11664)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 (*.f64 x 841/108) -4/29) (*.f64 x 707281/11664)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (*.f64 x 841/108) -4/29) (*.f64 x 707281/11664)) |
| 0.0ms | x | @ | 0 | (/.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 x 841/108) -4/29) (*.f64 x 707281/11664))) |
| 0.0ms | x | @ | inf | (/.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 x 841/108) -4/29) (*.f64 x 707281/11664))) |
| 1× | batch-egg-rewrite |
| 1472× | associate-/r/ |
| 948× | associate-/l/ |
| 566× | distribute-lft-neg-in |
| 498× | distribute-rgt-in |
| 470× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 59 |
| 1 | 292 | 55 |
| 2 | 4205 | 55 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 x 841/108) -4/29) (*.f64 x 707281/11664))) |
(/.f64 (+.f64 (*.f64 x 841/108) -4/29) (*.f64 x 707281/11664)) |
(*.f64 x 707281/11664) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1276× | associate-*r* |
| 1024× | *-commutative |
| 1022× | associate-*l* |
| 752× | associate-*r/ |
| 678× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 577 | 9370 |
| 1 | 1855 | 8908 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 20511149/46656 (pow.f64 x 2)) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3))) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))) |
(*.f64 -841/108 x) |
(-.f64 (*.f64 -841/108 x) 4/29) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x)))) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))) |
(*.f64 -841/108 x) |
(-.f64 (*.f64 -841/108 x) 4/29) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x)))) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))) |
(/.f64 -46656/20511149 x) |
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x))) |
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x))) |
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x))) |
108/841 |
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x))) |
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x))) |
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x))) |
108/841 |
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x))) |
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x))) |
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x))) |
(*.f64 707281/11664 x) |
(*.f64 707281/11664 x) |
(*.f64 707281/11664 x) |
(*.f64 707281/11664 x) |
(*.f64 707281/11664 x) |
(*.f64 707281/11664 x) |
(*.f64 707281/11664 x) |
(*.f64 707281/11664 x) |
(*.f64 707281/11664 x) |
(*.f64 707281/11664 x) |
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(+.f64 0 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))) 1) |
(+.f64 (*.f64 (/.f64 11664/707281 x) (*.f64 x 841/108)) (*.f64 (/.f64 11664/707281 x) -4/29)) |
(+.f64 (*.f64 (/.f64 11664/707281 x) -4/29) (*.f64 (/.f64 11664/707281 x) (*.f64 x 841/108))) |
(+.f64 (*.f64 (*.f64 x 841/108) (/.f64 11664/707281 x)) (*.f64 -4/29 (/.f64 11664/707281 x))) |
(+.f64 (*.f64 -4/29 (/.f64 11664/707281 x)) (*.f64 (*.f64 x 841/108) (/.f64 11664/707281 x))) |
(-.f64 0 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) 1) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) |
(*.f64 (fma.f64 x 841/108 -4/29) (neg.f64 (/.f64 11664/707281 x))) |
(*.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 1) |
(*.f64 1 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108))) |
(*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (/.f64 11664/707281 x))) |
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 2) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 2) (neg.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (*.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (/.f64 11664/707281 x))) |
(*.f64 (/.f64 (fma.f64 x 841/108 -4/29) x) 11664/707281) |
(*.f64 (fma.f64 x 841/108 4/29) (/.f64 11664/707281 x)) |
(*.f64 (fma.f64 x 841/108 4/29) (neg.f64 (/.f64 11664/707281 x))) |
(*.f64 -1 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) |
(*.f64 (/.f64 11664/707281 x) (fma.f64 x 841/108 -4/29)) |
(*.f64 (/.f64 11664/707281 x) (fma.f64 x 841/108 4/29)) |
(*.f64 (/.f64 1 x) (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)) |
(*.f64 11664/707281 (/.f64 (fma.f64 x 841/108 -4/29) x)) |
(*.f64 (/.f64 1 (*.f64 841/108 (sqrt.f64 x))) (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 841/108 (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) (/.f64 (fma.f64 x 841/108 -4/29) (cbrt.f64 (*.f64 x 707281/11664)))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 2)) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 2)) (neg.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29))) (*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (/.f64 11664/707281 x))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (*.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (/.f64 11664/707281 x))) |
(*.f64 (neg.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)) |
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 2)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) x) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) x)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 1) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 x 707281/11664))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 x 707281/11664)) (sqrt.f64 (fma.f64 x 841/108 -4/29))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (cbrt.f64 (*.f64 x 707281/11664)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) x) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) 707281/11664) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 x 707281/11664))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (*.f64 841/108 (sqrt.f64 x))) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 841/108 (sqrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 2))) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x 707281/11664) (sqrt.f64 (fma.f64 x 841/108 -4/29)))) (sqrt.f64 (fma.f64 x 841/108 -4/29))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x 707281/11664) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2))) (cbrt.f64 (fma.f64 x 841/108 -4/29))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (*.f64 x 707281/11664)) (cbrt.f64 (fma.f64 x 841/108 -4/29))) |
(*.f64 (/.f64 -1 x) (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)) |
(*.f64 -11664/707281 (/.f64 (fma.f64 x 841/108 -4/29) x)) |
(*.f64 (/.f64 -1 (*.f64 841/108 (sqrt.f64 x))) (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 841/108 (sqrt.f64 x)))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) (/.f64 (fma.f64 x 841/108 -4/29) (cbrt.f64 (*.f64 x 707281/11664)))) |
(*.f64 (/.f64 -1 (/.f64 1 (fma.f64 x 841/108 -4/29))) (/.f64 11664/707281 x)) |
(*.f64 (/.f64 -1 (*.f64 1 (sqrt.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x 841/108 -4/29)))))) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)) |
(*.f64 (/.f64 -1 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 2))) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(*.f64 (/.f64 -1 (/.f64 (*.f64 x 707281/11664) 1)) (fma.f64 x 841/108 -4/29)) |
(*.f64 (/.f64 -1 (/.f64 (*.f64 x 707281/11664) (sqrt.f64 (fma.f64 x 841/108 -4/29)))) (sqrt.f64 (fma.f64 x 841/108 -4/29))) |
(*.f64 (/.f64 -1 (/.f64 (*.f64 x 707281/11664) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2))) (cbrt.f64 (fma.f64 x 841/108 -4/29))) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 11664/707281 x)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (fma.f64 x 841/108 -4/29)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 11664/707281 x)) (-.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (+.f64 16/841 (*.f64 (*.f64 x 841/108) (fma.f64 x 841/108 -4/29)))) |
(*.f64 (/.f64 (*.f64 (+.f64 -64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 11664/707281 x)) (-.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 707281/11664 (*.f64 x x))) (*.f64 (+.f64 16/841 (*.f64 x -29/27)) (+.f64 16/841 (*.f64 x -29/27))))) (+.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (*.f64 x -29/27))) |
(*.f64 (/.f64 (*.f64 (+.f64 -64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 11664/707281 x)) (+.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) (pow.f64 (+.f64 16/841 (*.f64 x -29/27)) 3))) (+.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 707281/11664 (*.f64 x x))) (*.f64 (+.f64 16/841 (*.f64 x -29/27)) (-.f64 (+.f64 16/841 (*.f64 x -29/27)) (*.f64 707281/11664 (*.f64 x x)))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664) (-.f64 0 (*.f64 x x))) x) |
(*.f64 (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0)) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 1)) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 x 707281/11664))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) 1)) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 x 707281/11664))) |
(*.f64 (neg.f64 (/.f64 1 x)) (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)) |
(*.f64 (neg.f64 (/.f64 1 (*.f64 841/108 (sqrt.f64 x)))) (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 841/108 (sqrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2))) (/.f64 (fma.f64 x 841/108 -4/29) (cbrt.f64 (*.f64 x 707281/11664)))) |
(*.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108))) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 2))) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) x)) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664)) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664)) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) x)) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2))) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (cbrt.f64 (*.f64 x 707281/11664)))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) x)) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664)) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) 707281/11664)) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) x)) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (*.f64 841/108 (sqrt.f64 x)))) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 841/108 (sqrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2))) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(pow.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108) 2) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 3) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 3) 1/3) |
(pow.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x 841/108 -4/29))) -1) |
(neg.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 841/108 -4/29)) (/.f64 11664/707281 x))) |
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (fma.f64 x 841/108 -4/29)) (/.f64 11664/707281 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3) (pow.f64 (*.f64 x 707281/11664) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(+.f64 0 (*.f64 x 707281/11664)) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 x 707281/11664)))) 1) |
(-.f64 0 (*.f64 x 707281/11664)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 707281/11664))) 1) |
(pow.f64 (*.f64 x 707281/11664) 1) |
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 3) |
(pow.f64 (pow.f64 (*.f64 x 707281/11664) 3) 1/3) |
(neg.f64 (*.f64 x 707281/11664)) |
(sqrt.f64 (*.f64 (*.f64 x x) 500246412961/136048896)) |
(log.f64 (pow.f64 (exp.f64 707281/11664) x)) |
(log.f64 (/.f64 1 (pow.f64 (exp.f64 707281/11664) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 707281/11664)))) |
(cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x 707281/11664))) |
(exp.f64 (log.f64 (*.f64 x 707281/11664))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 707281/11664)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x 707281/11664))) |
| Outputs |
|---|
(*.f64 20511149/46656 (pow.f64 x 2)) |
(*.f64 20511149/46656 (*.f64 x x)) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3))) |
(fma.f64 20511149/46656 (*.f64 x x) (*.f64 500246412961/20155392 (pow.f64 x 3))) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))) |
(fma.f64 20511149/46656 (*.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))) |
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))) |
(fma.f64 20511149/46656 (*.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 297558232675799463481/3761479876608 (pow.f64 x 5) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(-.f64 (*.f64 -841/108 x) 4/29) |
(fma.f64 -841/108 x -4/29) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x)))) |
(-.f64 (fma.f64 -841/108 x -4/29) (/.f64 1728/707281 x)) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))) |
(-.f64 (fma.f64 -841/108 x -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x)))) |
(-.f64 (-.f64 (fma.f64 -841/108 x -4/29) (/.f64 1728/707281 x)) (/.f64 (/.f64 746496/17249876309 x) x)) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(-.f64 (*.f64 -841/108 x) 4/29) |
(fma.f64 -841/108 x -4/29) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x)))) |
(-.f64 (fma.f64 -841/108 x -4/29) (/.f64 1728/707281 x)) |
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))) |
(-.f64 (fma.f64 -841/108 x -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x)))) |
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(*.f64 (/.f64 (*.f64 (+.f64 -64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 11664/707281 x)) (-.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 707281/11664 (*.f64 x x))) (*.f64 (+.f64 16/841 (*.f64 x -29/27)) (+.f64 16/841 (*.f64 x -29/27))))) (+.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (*.f64 x -29/27))) |
(/.f64 (*.f64 (*.f64 (/.f64 11664/707281 x) (+.f64 -64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (*.f64 x -29/27))) (-.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) (*.f64 (+.f64 16/841 (*.f64 x -29/27)) (+.f64 16/841 (*.f64 x -29/27))))) |
(*.f64 (/.f64 (/.f64 11664/707281 x) (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (+.f64 16/841 (*.f64 x -29/27)) (+.f64 16/841 (*.f64 x -29/27)))) (+.f64 -64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))) (+.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (*.f64 x -29/27))) |
(*.f64 (/.f64 (*.f64 (+.f64 -64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 11664/707281 x)) (+.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) (pow.f64 (+.f64 16/841 (*.f64 x -29/27)) 3))) (+.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 707281/11664 (*.f64 x x))) (*.f64 (+.f64 16/841 (*.f64 x -29/27)) (-.f64 (+.f64 16/841 (*.f64 x -29/27)) (*.f64 707281/11664 (*.f64 x x)))))) |
(*.f64 (/.f64 (+.f64 -64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 707281/11664)) 3) (pow.f64 (+.f64 16/841 (*.f64 x -29/27)) 3)) (/.f64 11664/707281 x))) (+.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) (*.f64 (+.f64 16/841 (*.f64 x -29/27)) (+.f64 16/841 (-.f64 (*.f64 x -29/27) (*.f64 x (*.f64 x 707281/11664))))))) |
(/.f64 (*.f64 (*.f64 11664/707281 (/.f64 (+.f64 -64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) x)) (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (+.f64 16/841 (*.f64 x -29/27)) (+.f64 16/841 (*.f64 x (-.f64 -29/27 (*.f64 x 707281/11664))))))) (+.f64 (pow.f64 (/.f64 x (/.f64 11664/707281 x)) 3) (pow.f64 (+.f64 16/841 (*.f64 x -29/27)) 3))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664) (-.f64 0 (*.f64 x x))) x) |
(*.f64 x (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 (neg.f64 (*.f64 x x)) 707281/11664))) |
(/.f64 (*.f64 (fma.f64 x 841/108 -4/29) x) (*.f64 x (*.f64 x -707281/11664))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0)) |
(*.f64 (*.f64 x x) (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664) (neg.f64 (pow.f64 x 3)))) |
(/.f64 (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664) (/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 x x))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 1)) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 x 707281/11664))) |
(*.f64 (*.f64 (/.f64 11664/707281 x) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (neg.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)))) |
(*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (/.f64 -11664/707281 x))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) 1)) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 x 707281/11664))) |
(*.f64 (*.f64 (/.f64 11664/707281 x) (cbrt.f64 (fma.f64 x 841/108 -4/29))) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 -11664/707281 x)) |
(*.f64 (neg.f64 (/.f64 1 x)) (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 -11664/707281 x)) |
(/.f64 (*.f64 (fma.f64 x 841/108 -4/29) -11664/707281) x) |
(*.f64 (neg.f64 (/.f64 1 (*.f64 841/108 (sqrt.f64 x)))) (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 841/108 (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) 841/108) (sqrt.f64 x)) (/.f64 -108/841 (sqrt.f64 x))) |
(*.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 108/841 (sqrt.f64 x))) (/.f64 -108/841 (sqrt.f64 x))) |
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2))) (/.f64 (fma.f64 x 841/108 -4/29) (cbrt.f64 (*.f64 x 707281/11664)))) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 -11664/707281 x)) |
(/.f64 (*.f64 (fma.f64 x 841/108 -4/29) -11664/707281) x) |
(*.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108))) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)) |
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108) 2) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 2))) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) |
(/.f64 (+.f64 (*.f64 x 108/841) -46656/20511149) x) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) x)) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664)) |
(*.f64 (*.f64 (/.f64 11664/707281 x) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (neg.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)))) |
(*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (/.f64 -11664/707281 x))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664)) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) x)) |
(*.f64 (*.f64 (/.f64 11664/707281 x) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (neg.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)))) |
(*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (/.f64 -11664/707281 x))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2))) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (cbrt.f64 (*.f64 x 707281/11664)))) |
(*.f64 (*.f64 (/.f64 11664/707281 x) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (neg.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)))) |
(*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (/.f64 -11664/707281 x))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) x)) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664)) |
(*.f64 (*.f64 (/.f64 11664/707281 x) (cbrt.f64 (fma.f64 x 841/108 -4/29))) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 -11664/707281 x)) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) 707281/11664)) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) x)) |
(*.f64 (*.f64 (/.f64 11664/707281 x) (cbrt.f64 (fma.f64 x 841/108 -4/29))) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 -11664/707281 x)) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (*.f64 841/108 (sqrt.f64 x)))) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 841/108 (sqrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 841/108) (sqrt.f64 x)) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (*.f64 841/108 (sqrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 841/108 (sqrt.f64 x))) (*.f64 -108/841 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (sqrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2))) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x 108/841) -46656/20511149) x)) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2))) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) |
(pow.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 1) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) |
(/.f64 (+.f64 (*.f64 x 108/841) -46656/20511149) x) |
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108) 2) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 3) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) |
(/.f64 (+.f64 (*.f64 x 108/841) -46656/20511149) x) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 3) 1/3) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) |
(/.f64 (+.f64 (*.f64 x 108/841) -46656/20511149) x) |
(pow.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x 841/108 -4/29))) -1) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) |
(/.f64 (+.f64 (*.f64 x 108/841) -46656/20511149) x) |
(neg.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 -11664/707281 x)) |
(/.f64 (*.f64 (fma.f64 x 841/108 -4/29) -11664/707281) x) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x 108/841) -46656/20511149) x) 2)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 841/108 -4/29)) (/.f64 11664/707281 x))) |
(*.f64 (/.f64 11664/707281 x) (log.f64 (exp.f64 (fma.f64 x 841/108 -4/29)))) |
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (fma.f64 x 841/108 -4/29)) (/.f64 11664/707281 x)))) |
(neg.f64 (*.f64 (/.f64 11664/707281 x) (log.f64 (exp.f64 (fma.f64 x 841/108 -4/29))))) |
(*.f64 (/.f64 -11664/707281 x) (log.f64 (exp.f64 (fma.f64 x 841/108 -4/29)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) |
(/.f64 (+.f64 (*.f64 x 108/841) -46656/20511149) x) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 3)) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) |
(/.f64 (+.f64 (*.f64 x 108/841) -46656/20511149) x) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3) (pow.f64 (*.f64 x 707281/11664) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) |
(/.f64 (+.f64 (*.f64 x 108/841) -46656/20511149) x) |
(exp.f64 (log.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) |
(/.f64 (+.f64 (*.f64 x 108/841) -46656/20511149) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 1)) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) |
(/.f64 (+.f64 (*.f64 x 108/841) -46656/20511149) x) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) |
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) |
(/.f64 (+.f64 (*.f64 x 108/841) -46656/20511149) x) |
(+.f64 0 (*.f64 x 707281/11664)) |
(*.f64 x 707281/11664) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 x 707281/11664)))) 1) |
(*.f64 x -707281/11664) |
(-.f64 0 (*.f64 x 707281/11664)) |
(*.f64 x -707281/11664) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 707281/11664))) 1) |
(*.f64 x 707281/11664) |
(pow.f64 (*.f64 x 707281/11664) 1) |
(*.f64 x 707281/11664) |
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 3) |
(*.f64 x 707281/11664) |
(pow.f64 (pow.f64 (*.f64 x 707281/11664) 3) 1/3) |
(*.f64 x 707281/11664) |
(neg.f64 (*.f64 x 707281/11664)) |
(*.f64 x -707281/11664) |
(sqrt.f64 (*.f64 (*.f64 x x) 500246412961/136048896)) |
(sqrt.f64 (*.f64 x (*.f64 x 500246412961/136048896))) |
(log.f64 (pow.f64 (exp.f64 707281/11664) x)) |
(*.f64 x (log.f64 (exp.f64 707281/11664))) |
(log.f64 (/.f64 1 (pow.f64 (exp.f64 707281/11664) x))) |
(neg.f64 (*.f64 x (log.f64 (exp.f64 707281/11664)))) |
(*.f64 x (neg.f64 (log.f64 (exp.f64 707281/11664)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 707281/11664)))) |
(*.f64 x 707281/11664) |
(cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3)) |
(*.f64 x 707281/11664) |
(expm1.f64 (log1p.f64 (*.f64 x 707281/11664))) |
(*.f64 x 707281/11664) |
(exp.f64 (log.f64 (*.f64 x 707281/11664))) |
(*.f64 x 707281/11664) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 707281/11664)) 1)) |
(*.f64 x 707281/11664) |
(log1p.f64 (expm1.f64 (*.f64 x 707281/11664))) |
(*.f64 x 707281/11664) |
Compiled 19216 to 15205 computations (20.9% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 765 | 3 | 768 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 768 | 7 | 775 |
| Status | Error | Program |
|---|---|---|
| ✓ | 27.16% | (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) |
| 2.86% | (-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (neg.f64 x) 108/841)) | |
| 39.67% | (+.f64 (*.f64 x 841/108) 8/29) | |
| ✓ | 0.07% | (+.f64 4/29 (*.f64 841/108 x)) |
| ✓ | 46.84% | (*.f64 841/108 x) |
| 89.17% | 8/29 | |
| 52.15% | 4/29 |
Compiled 47 to 39 computations (17% saved)
| Inputs |
|---|
4/29 |
8/29 |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 (*.f64 x 841/108) 8/29) |
(-.f64 4/29 (-.f64 (*.f64 -841/108 x) 4/29)) |
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (neg.f64 x) 108/841)) |
(-.f64 4/29 (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) |
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 4/29 (*.f64 -841/108 x)))) |
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 x 841/108) -4/29) (*.f64 x 707281/11664)))) |
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 x))) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29)) |
| Outputs |
|---|
(+.f64 4/29 (*.f64 841/108 x)) |
3 calls:
| 45.0ms | x |
| 9.0ms | (*.f64 (/.f64 841 108) x) |
| 5.0ms | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| Error | Segments | Branch |
|---|---|---|
| 0.07% | 1 | x |
| 0.07% | 1 | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| 0.07% | 1 | (*.f64 (/.f64 841 108) x) |
Compiled 155 to 125 computations (19.4% saved)
| Inputs |
|---|
4/29 |
8/29 |
(*.f64 841/108 x) |
| Outputs |
|---|
(*.f64 841/108 x) |
4/29 |
(*.f64 841/108 x) |
1 calls:
| 30.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 2.66% | 3 | x |
Compiled 8 to 6 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 63.0ms | 0.003812353611344266 | 53466314.82595385 |
| 16.0ms | -139096414136072.84 | -2.4190180293272645e-5 |
| 75.0ms | 320× | body | 256 | valid |
Compiled 174 to 152 computations (12.6% saved)
Total -23.7b remaining (-71%)
Threshold costs -23.7b (-71%)
| Inputs |
|---|
4/29 |
8/29 |
| Outputs |
|---|
4/29 |
1 calls:
| 36.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 52.15% | 1 | x |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 2× | +-commutative |
| 2× | if-if-or-not |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 47 |
| 1 | 23 | 47 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 4/29 (*.f64 841/108 x)) |
(if (<=.f64 x -1261007895663739/72057594037927936) (*.f64 841/108 x) (if (<=.f64 x 5188146770730811/288230376151711744) 4/29 (*.f64 841/108 x))) |
4/29 |
| Outputs |
|---|
(+.f64 4/29 (*.f64 841/108 x)) |
(if (<=.f64 x -1261007895663739/72057594037927936) (*.f64 841/108 x) (if (<=.f64 x 5188146770730811/288230376151711744) 4/29 (*.f64 841/108 x))) |
4/29 |
Compiled 24 to 19 computations (20.8% saved)
Compiled 22 to 17 computations (22.7% saved)
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