Time bar (total: 7.4s)
| 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)
| 1.0s | 8254× | body | 256 | valid |
| 0.0ms | 4× | 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 |
|---|---|---|
| ▶ | 0.1b | (+.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 |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| ✓ | 0.1b | (*.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 (+.f64 (*.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 (+.f64 (*.f64 841/108 x) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 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| 1× | egg-herbie |
| 1024× | associate-/r/ |
| 1018× | associate-/l/ |
| 444× | +-commutative |
| 426× | distribute-lft-neg-in |
| 392× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 377 | 5842 |
| 1 | 1070 | 4826 |
| 2 | 4145 | 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 (+.f64 (*.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) |
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(/.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 (*.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 (*.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 (+.f64 (*.f64 841/108 x) 4/29) 1) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3) |
(pow.f64 (pow.f64 (+.f64 (*.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 (+.f64 (*.f64 841/108 x) 4/29) 2)) |
(fabs.f64 (+.f64 (*.f64 841/108 x) 4/29)) |
(log.f64 (exp.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 841/108 x) 4/29)))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(exp.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(log1p.f64 (expm1.f64 (+.f64 (*.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 (+.f64 (*.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 -707281/11664 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (*.f64 x x)))) |
(+.f64 (/.f64 -16/841 (fma.f64 841/108 x -4/29)) (/.f64 -707281/11664 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (*.f64 x x)))) |
(*.f64 (+.f64 (*.f64 841/108 x) 4/29) 1) |
(fma.f64 841/108 x 4/29) |
(*.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) |
(fma.f64 841/108 x 4/29) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(fma.f64 841/108 x 4/29) |
(*.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2)) |
(fma.f64 841/108 x 4/29) |
(*.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) (sqrt.f64 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) (cbrt.f64 (+.f64 (*.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 (+.f64 (*.f64 841/108 x) 4/29)) 2) (cbrt.f64 (+.f64 (*.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 (+.f64 (*.f64 841/108 x) 4/29))) (sqrt.f64 (sqrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3)))) |
(*.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)) (+.f64 (*.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))) |
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(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841)) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (sqrt.f64 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (sqrt.f64 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29))) (exp.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29)))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29))) 1)) |
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) (fma.f64 841/108 x 4/29)) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 841/108 x 4/29)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))))) |
(/.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 x 707281/11664) (/.f64 (fma.f64 841/108 x -4/29) 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 (+.f64 (*.f64 841/108 x) 4/29))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29))) (exp.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (+.f64 (*.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 (exp.f64 (*.f64 2 (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 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (+.f64 1 (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 (pow.f64 (/.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 16/841 (fma.f64 841/108 x -4/29)) (+.f64 (/.f64 (*.f64 x 707281/11664) (/.f64 (fma.f64 841/108 x -4/29) 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 (/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (+.f64 (*.f64 (*.f64 707281/11664 x) x) 16/841)) (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) (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 (pow.f64 (*.f64 (*.f64 707281/11664 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 (+.f64 (*.f64 841/108 x) 4/29) 1) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (pow.f64 (+.f64 (*.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 (+.f64 (*.f64 841/108 x) 4/29) 2)) |
(fma.f64 841/108 x 4/29) |
(fabs.f64 (+.f64 (*.f64 841/108 x) 4/29)) |
(fma.f64 841/108 x 4/29) |
(log.f64 (exp.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(fma.f64 841/108 x 4/29) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 841/108 x) 4/29)))) |
(fma.f64 841/108 x 4/29) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3)) |
(fma.f64 841/108 x 4/29) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(fma.f64 841/108 x 4/29) |
(exp.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(fma.f64 841/108 x 4/29) |
(log1p.f64 (expm1.f64 (+.f64 (*.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 4387 to 3551 computations (19.1% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 189 | 8 | 197 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 190 | 8 | 198 |
| Status | Error | Program |
|---|---|---|
| 15.2b | (pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) | |
| ▶ | 17.9b | (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) |
| ▶ | 0.1b | (/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29))) |
| ▶ | 17.9b | (-.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)))) |
| ▶ | 0.1b | (+.f64 4/29 (*.f64 841/108 x)) |
| 1.8b | (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) | |
| ▶ | 17.9b | (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) |
| 33.1b | 4/29 |
Compiled 184 to 154 computations (16.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 4/29 (*.f64 841/108 x)) |
| ✓ | 0.1b | (*.f64 841/108 x) |
Compiled 12 to 9 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 4/29 (*.f64 841/108 x)) |
| 0.0ms | x | @ | 0 | (*.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 (+.f64 4/29 (*.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 (+.f64 4/29 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 4/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 4/29 (*.f64 841/108 x))) (sqrt.f64 (+.f64 4/29 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x))) 2) (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x))))))) (#(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 (+.f64 4/29 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 4/29 (*.f64 841/108 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 4/29 (*.f64 841/108 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 4/29 (*.f64 841/108 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 4/29 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 841/108 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 4/29 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 4/29 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 4/29 (*.f64 841/108 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 4/29 (*.f64 841/108 x))))))) (#(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 |
| 1200× | associate-/l* |
| 1056× | associate-*r* |
| 834× | associate-*l* |
| 784× | associate-+r+ |
| 672× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1074 |
| 1 | 266 | 882 |
| 2 | 927 | 686 |
| 3 | 4128 | 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 (+.f64 4/29 (*.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 (+.f64 4/29 (*.f64 841/108 x)) 1) |
(*.f64 1 (+.f64 4/29 (*.f64 841/108 x))) |
(*.f64 (sqrt.f64 (+.f64 4/29 (*.f64 841/108 x))) (sqrt.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(*.f64 (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x))) 2) (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(*.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 (+.f64 4/29 (*.f64 841/108 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 4/29 (*.f64 841/108 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x))) 3) |
(pow.f64 (pow.f64 (+.f64 4/29 (*.f64 841/108 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 4/29 (*.f64 841/108 x)) 2)) |
(log.f64 (exp.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 841/108 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(exp.f64 (log.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 4/29 (*.f64 841/108 x))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(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 (+.f64 4/29 (*.f64 841/108 x))) 1) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -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 (*.f64 x x) -707281/11664)) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) |
(*.f64 (+.f64 4/29 (*.f64 841/108 x)) 1) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(*.f64 1 (+.f64 4/29 (*.f64 841/108 x))) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(*.f64 (sqrt.f64 (+.f64 4/29 (*.f64 841/108 x))) (sqrt.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(*.f64 (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x))) 2)) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x))) 2) (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -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 (*.f64 x x) -707281/11664)) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -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 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (-.f64 (+.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x 29/27)))) |
(/.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 (*.f64 x x) -707281/11664)) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -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 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (-.f64 (+.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x 29/27)))) |
(/.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 (*.f64 x x) -707281/11664)) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -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 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (-.f64 (+.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x 29/27)))) |
(/.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 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (-.f64 (+.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x 29/27)))) |
(/.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 (*.f64 x x) -707281/11664)) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -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 (*.f64 x x) -707281/11664)) (fma.f64 x -841/108 4/29)) |
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -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 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (-.f64 (+.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x 29/27)))) |
(/.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 (+.f64 4/29 (*.f64 841/108 x)) 1) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (sqrt.f64 (+.f64 4/29 (*.f64 841/108 x))) 2) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x))) 3) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (pow.f64 (+.f64 4/29 (*.f64 841/108 x)) 3) 1/3) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(sqrt.f64 (pow.f64 (+.f64 4/29 (*.f64 841/108 x)) 2)) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(log.f64 (exp.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 841/108 x)) 3)) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(expm1.f64 (log1p.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(exp.f64 (log.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(exp.f64 (*.f64 (log.f64 (+.f64 4/29 (*.f64 841/108 x))) 1)) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 841/108 x 4/29) |
(log1p.f64 (expm1.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -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 (+.f64 33/29 (*.f64 841/108 x)) -1) |
(+.f64 (fma.f64 841/108 x 4/29) 0) |
(fma.f64 x 841/108 4/29) |
(+.f64 (+.f64 33/29 (*.f64 841/108 x)) -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 (+.f64 33/29 (*.f64 841/108 x)) -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 (+.f64 33/29 (*.f64 841/108 x)) -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 (+.f64 33/29 (*.f64 841/108 x)) -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 |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 841/108 x) 4/29) |
| 0.1b | (*.f64 841/108 x) | |
| ✓ | 0.2b | (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) |
| ✓ | 0.2b | (/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29))) |
Compiled 29 to 24 computations (17.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29))) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29))) |
| 1× | batch-egg-rewrite |
| 1916× | add-sqr-sqrt |
| 1874× | *-un-lft-identity |
| 1774× | add-cube-cbrt |
| 1762× | add-cbrt-cube |
| 184× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 1 | 220 | 33 |
| 2 | 2414 | 33 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29))) |
(/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) |
(+.f64 (*.f64 841/108 x) 4/29) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (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 1 (+.f64 (*.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 841/108 x) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2) -1) (pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 841/108 x) 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 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 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2) (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -2)) (/.f64 1 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) -1) (pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (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 1 (+.f64 (*.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 841/108 x) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2) -1) (pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (/.f64 -1 (+.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 841/108 x) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) (/.f64 1 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 841/108 x) 4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -2))) (/.f64 1 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 841/108 x) 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 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 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29))))) |
| 1× | egg-herbie |
| 1068× | associate-*r/ |
| 872× | associate-/r* |
| 656× | associate-/l* |
| 654× | associate-*l/ |
| 554× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 2565 |
| 1 | 475 | 2405 |
| 2 | 1832 | 2197 |
| 3 | 7908 | 2197 |
| 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)) |
29/4 |
(+.f64 29/4 (*.f64 -707281/1728 x)) |
(+.f64 29/4 (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))) |
(+.f64 29/4 (+.f64 (*.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x)))) |
(/.f64 108/841 x) |
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 108/841 x) |
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))) |
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 (*.f64 841/108 x) 4/29) |
(+.f64 4/29 (*.f64 841/108 x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29))) 1) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(*.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) |
(*.f64 (+.f64 (*.f64 841/108 x) 4/29) 1) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(*.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29))) |
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))))) |
(*.f64 -1 (neg.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2) -1) (pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) -1)) |
(pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 1) |
(pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) -1) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 2)) |
(log.f64 (exp.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 841/108 x) 4/29)))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(exp.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29)) 1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29))) -1)) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(fma.f64 1 (*.f64 841/108 x) 4/29) |
(fma.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 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))) 1) |
(*.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) 1) |
(*.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2) (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -2)) (/.f64 1 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))) |
(*.f64 -1 (/.f64 -1 (+.f64 (*.f64 841/108 x) 4/29))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (fma.f64 841/108 x -4/29)) |
(*.f64 (/.f64 1 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) -1) (pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) -1)) |
(pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1) |
(pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) 1) |
(pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29))) 1) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(*.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) |
(*.f64 (+.f64 (*.f64 841/108 x) 4/29) 1) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(*.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29))) |
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))))) |
(*.f64 -1 (neg.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2) -1) (pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) -1)) |
(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29))) |
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))) |
(/.f64 1 (neg.f64 (/.f64 -1 (+.f64 (*.f64 841/108 x) 4/29)))) |
(/.f64 (+.f64 (*.f64 841/108 x) 4/29) 1) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -1/2)) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) (/.f64 1 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))) |
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 x 29/27)))) |
(/.f64 -1 (/.f64 -1 (+.f64 (*.f64 841/108 x) 4/29))) |
(/.f64 (neg.f64 (+.f64 (*.f64 841/108 x) 4/29)) -1) |
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) -2))) (/.f64 1 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29))) |
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))))) |
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
(pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 1) |
(pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) -1) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 2)) |
(log.f64 (exp.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 841/108 x) 4/29)))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(exp.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29)) 1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29))) -1)) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(fma.f64 1 (*.f64 841/108 x) 4/29) |
(fma.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 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29) |
| 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) |
29/4 |
(+.f64 29/4 (*.f64 -707281/1728 x)) |
(+.f64 29/4 (*.f64 x -707281/1728)) |
(fma.f64 x -707281/1728 29/4) |
(+.f64 29/4 (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))) |
(+.f64 29/4 (fma.f64 17249876309/746496 (*.f64 x x) (*.f64 x -707281/1728))) |
(+.f64 29/4 (fma.f64 x -707281/1728 (*.f64 17249876309/746496 (*.f64 x x)))) |
(fma.f64 x -707281/1728 (fma.f64 x (*.f64 x 17249876309/746496) 29/4)) |
(+.f64 29/4 (+.f64 (*.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x)))) |
(+.f64 29/4 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 17249876309/746496 (*.f64 x x) (*.f64 x -707281/1728)))) |
(+.f64 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (*.f64 17249876309/746496 (*.f64 x x))) (fma.f64 x -707281/1728 29/4)) |
(fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 x -707281/1728 (fma.f64 x (*.f64 x 17249876309/746496) 29/4))) |
(/.f64 108/841 x) |
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))) |
(+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (/.f64 46656/20511149 (*.f64 x x))) |
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))) |
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 -46656/20511149 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))) |
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 -46656/20511149 (*.f64 x x)) (/.f64 -8707129344/12200509765705829 (pow.f64 x 4))))) |
(/.f64 108/841 x) |
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))) |
(+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (/.f64 46656/20511149 (*.f64 x x))) |
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))) |
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 -46656/20511149 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))) |
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 -46656/20511149 (*.f64 x x)) (/.f64 -8707129344/12200509765705829 (pow.f64 x 4))))) |
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)) |
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(/.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(+.f64 (/.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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) |
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))))) |
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (fma.f64 (*.f64 x x) 707281/11664 (-.f64 16/841 (*.f64 x 29/27))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27)))) |
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841)) |
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) |
(+.f64 (/.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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) |
(pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 1) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) -1) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3) 1/3) |
(fma.f64 841/108 x 4/29) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 2)) |
(fma.f64 841/108 x 4/29) |
(log.f64 (exp.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(fma.f64 841/108 x 4/29) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 841/108 x) 4/29)))) |
(fma.f64 841/108 x 4/29) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3)) |
(fma.f64 841/108 x 4/29) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(fma.f64 841/108 x 4/29) |
(exp.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
(fma.f64 841/108 x 4/29) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29)) 1)) |
(fma.f64 841/108 x 4/29) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (*.f64 841/108 x) 4/29))) -1)) |
(fma.f64 841/108 x 4/29) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 841/108 x) 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 841/108 x 4/29) |
(fma.f64 x 841/108 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 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 (*.f64 841/108 x)) 4/29) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) |
| 0.1b | (*.f64 841/108 x) | |
| ✓ | 0.1b | (*.f64 -707281/11664 (*.f64 x x)) |
| ✓ | 16.7b | (/.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 -707281/11664 (*.f64 x 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 | @ | 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 | @ | 0 | (*.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 |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 x (sqrt.f64 -707281/11664)) 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 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -707281/11664 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 -707281/11664 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -707281/11664 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x)))) 825/841)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 16/841 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(2) ((x fma.f64 (*.f64 -707281/11664 x) x 16/841))))) |
| 1× | egg-herbie |
| 1748× | associate-/r* |
| 1436× | associate-/r/ |
| 1366× | unswap-sqr |
| 530× | distribute-lft-neg-in |
| 474× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 317 | 5774 |
| 1 | 796 | 4834 |
| 2 | 3757 | 4834 |
| 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 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))))) 1) |
(*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) 1) |
(*.f64 1 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))) |
(*.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (*.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))) (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))) 2) (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))))) |
(*.f64 (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) |
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(pow.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 1) |
(pow.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 3) |
(pow.f64 (pow.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 2)) |
(log.f64 (exp.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))) |
(cbrt.f64 (pow.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(exp.f64 (log.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(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 (*.f64 x -707281/11664) x) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x -707281/11664) x) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x -707281/11664) x) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x -707281/11664) x) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x -707281/11664) x) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x -707281/11664) x) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x -707281/11664) x) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x -707281/11664) x) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x -707281/11664) x) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x -707281/11664) x) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x -707281/11664) x) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x -707281/11664) 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) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x -707281/11664) 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) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 (*.f64 x -707281/11664) 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) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))))) 1) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.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 x -841/108))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) 1) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(*.f64 1 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(*.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (*.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.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 x -841/108))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))) (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.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 x -841/108))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))) 2)) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))) 2) (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(*.f64 (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) |
(/.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 x -841/108))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.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 x -841/108))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 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))))) |
(/.f64 (/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))) 2)) (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (cbrt.f64 (-.f64 4/29 (*.f64 841/108 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))))) |
(/.f64 (/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.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 16/841 (*.f64 x (*.f64 x 707281/11664)))) (-.f64 4/29 (*.f64 x -841/108))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 (*.f64 x -707281/11664) x 16/841)) (fma.f64 841/108 x 4/29)) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.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 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) 29/27)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) (+.f64 16/841 (*.f64 x (+.f64 29/27 (*.f64 x 707281/11664))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 1) (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (-.f64 4/29 (*.f64 841/108 x)))) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))) 2)) (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (cbrt.f64 (-.f64 4/29 (*.f64 841/108 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))))) |
(/.f64 (/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (-.f64 4/29 (*.f64 841/108 x)))) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) (/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 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))))) |
(/.f64 (/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (pow.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))) 2)) (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.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)))) (/.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))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841)) 2) (cbrt.f64 (/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 4/29 (*.f64 x -841/108))))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) |
(pow.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) 1) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))) 2) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))) 3) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) 3) 1/3) |
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
(pow.f64 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) -1) |
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(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (+.f64 4/29 (*.f64 x -841/108))) |
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(/.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 16777216/353814783205469041 (*.f64 (pow.f64 (pow.f64 x 4) 3) 125184900814733057351483732809459681/2518170116818978404827136)) (/.f64 (+.f64 65536/500246412961 (*.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281))) (/.f64 1 (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))))) |
(/.f64 (/.f64 (+.f64 16777216/353814783205469041 (*.f64 (pow.f64 (*.f64 x x) 6) -125184900814733057351483732809459681/2518170116818978404827136)) (fma.f64 x (*.f64 x 707281/11664) 16/841)) (+.f64 65536/500246412961 (fma.f64 (pow.f64 x 8) 250246473680347348787521/18509302102818816 (*.f64 (pow.f64 x 4) 707281/531441)))) |
(/.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 16777216/353814783205469041 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 125184900814733057351483732809459681/2518170116818978404827136)) (/.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 (+.f64 16777216/353814783205469041 (*.f64 (pow.f64 (*.f64 x x) 6) -125184900814733057351483732809459681/2518170116818978404827136)) (*.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944)) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 (*.f64 x x) 841/729))))) |
(/.f64 (+.f64 16777216/353814783205469041 (*.f64 (pow.f64 (*.f64 x x) 6) -125184900814733057351483732809459681/2518170116818978404827136)) (*.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944)) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 x (*.f64 x 841/729)))))) |
(/.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 68719476736/210457284365172120330305161 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 3)) (/.f64 (+.f64 16777216/353814783205469041 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 4096/594823321))) (/.f64 1 (+.f64 256/707281 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 841/729 (*.f64 x x))))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) -44292268542362921407825091617016319887724139383235921/3996019499184929743169818581358608384 68719476736/210457284365172120330305161) (*.f64 (fma.f64 (*.f64 (pow.f64 x 6) -353814783205469041/1586874322944) (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 -4096/594823321) 16777216/353814783205469041) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 (*.f64 x x) 841/729))))) |
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) -44292268542362921407825091617016319887724139383235921/3996019499184929743169818581358608384 68719476736/210457284365172120330305161) (fma.f64 (*.f64 (pow.f64 x 6) -353814783205469041/1586874322944) (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 -4096/594823321) 16777216/353814783205469041)) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 x (*.f64 x 841/729))))) |
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) |
(-.f64 (/.f64 256/707281 (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) (*.f64 (/.f64 (pow.f64 x 4) (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) 500246412961/136048896)) |
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 (*.f64 x -707281/11664) x -16/841)) |
(/.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 256/707281 (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) (*.f64 (/.f64 (pow.f64 x 4) (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) 500246412961/136048896)) |
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 (*.f64 x -707281/11664) x -16/841)) |
(/.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 256/707281 (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) (*.f64 (/.f64 (pow.f64 x 4) (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) 500246412961/136048896)) |
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 (*.f64 x -707281/11664) x -16/841)) |
(/.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 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 4096/594823321) (+.f64 256/707281 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 841/729 (*.f64 x x))))) |
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 (*.f64 x x) 841/729)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 x (*.f64 x 841/729))))) |
(/.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 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 4096/594823321) (+.f64 256/707281 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 841/729 (*.f64 x x))))) |
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 (*.f64 x x) 841/729)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 x (*.f64 x 841/729))))) |
(/.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)))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 4096/594823321) (+.f64 256/707281 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 841/729 (*.f64 x x))))) |
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 (*.f64 x x) 841/729)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 x (*.f64 x 841/729))))) |
(pow.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 1) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(pow.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 3) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(pow.f64 (pow.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 3) 1/3) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(sqrt.f64 (pow.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2)) |
(fabs.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841)) |
(log.f64 (exp.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(cbrt.f64 (pow.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 3)) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(expm1.f64 (log1p.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(exp.f64 (log.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(exp.f64 (*.f64 (log.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 1)) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(log1p.f64 (expm1.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
(fma.f64 (*.f64 x x) -707281/11664 16/841) |
(fma.f64 -707281/11664 (*.f64 x x) 16/841) |
(fma.f64 (*.f64 x -707281/11664) 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 -707281/11664) 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 (*.f64 x -707281/11664) 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) |
(fma.f64 (*.f64 x -707281/11664) x 16/841) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 841/108 x) | |
| ✓ | 0.1b | (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) |
| 0.1b | (*.f64 -707281/11664 (*.f64 x x)) | |
| ✓ | 16.6b | (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) |
Compiled 52 to 36 computations (30.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) |
| 1× | batch-egg-rewrite |
| 1784× | associate-*l/ |
| 766× | associate-/r* |
| 586× | associate-/l* |
| 566× | associate-/r/ |
| 322× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 56 |
| 1 | 331 | 52 |
| 2 | 4122 | 52 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) |
(/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) |
| Outputs |
|---|
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4/29 (*.f64 841/108 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 4/29 (*.f64 841/108 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 4/29 (*.f64 841/108 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 4/29 (*.f64 841/108 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))))))) |
| 1× | egg-herbie |
| 1068× | associate-/l* |
| 872× | associate-*r* |
| 744× | associate-*l* |
| 636× | *-commutative |
| 614× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 602 | 13145 |
| 1 | 1788 | 11201 |
| 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)) |
29/4 |
(+.f64 29/4 (*.f64 707281/1728 x)) |
(+.f64 29/4 (+.f64 (*.f64 707281/1728 x) (*.f64 17249876309/746496 (pow.f64 x 2)))) |
(+.f64 29/4 (+.f64 (*.f64 707281/1728 x) (+.f64 (*.f64 420707233300201/322486272 (pow.f64 x 3)) (*.f64 17249876309/746496 (pow.f64 x 2))))) |
(/.f64 -108/841 x) |
(neg.f64 (+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (*.f64 108/841 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))) |
(/.f64 -108/841 x) |
(neg.f64 (+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (*.f64 108/841 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 (/.f64 -16/841 (+.f64 -4/29 (/.f64 x 108/841))) (/.f64 (*.f64 -707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x)))) |
(+.f64 (/.f64 (*.f64 -707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x))) (/.f64 -16/841 (+.f64 -4/29 (/.f64 x 108/841)))) |
(+.f64 (*.f64 16/841 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) |
(+.f64 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) (*.f64 16/841 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))))) 1) |
(/.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))) (neg.f64 (+.f64 -4/29 (/.f64 x 108/841)))) |
(/.f64 1 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(/.f64 1 (/.f64 (*.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) |
(/.f64 1 (/.f64 (*.f64 (-.f64 4/29 (*.f64 841/108 x)) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281))) (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))) |
(/.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) (/.f64 1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) 1) |
(/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))) |
(/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2))) |
(/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) (cbrt.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))))) |
(/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))) |
(/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))) |
(/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 (*.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x))) 1)) |
(/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 (*.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (+.f64 -4/29 (/.f64 x 108/841))) -1)) |
(/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (*.f64 (-.f64 4/29 (*.f64 841/108 x)) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281)))) |
(/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (/.f64 1 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281))))) |
(/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281)) (-.f64 4/29 (*.f64 841/108 x))) 1)) |
(/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281)) (+.f64 -4/29 (/.f64 x 108/841))) -1)) |
(/.f64 -1 (/.f64 (+.f64 -4/29 (/.f64 x 108/841)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(/.f64 -1 (/.f64 (*.f64 (+.f64 -4/29 (/.f64 x 108/841)) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) |
(/.f64 -1 (/.f64 (*.f64 (+.f64 -4/29 (/.f64 x 108/841)) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281))) (+.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 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (sqrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))))) |
(/.f64 (sqrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (*.f64 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))) |
(/.f64 (sqrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (/.f64 (*.f64 (-.f64 4/29 (*.f64 841/108 x)) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281))) (sqrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))) |
(/.f64 (sqrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (*.f64 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2)) (/.f64 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) (sqrt.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2)) (/.f64 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) (/.f64 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) (sqrt.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))))) |
(/.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 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (cbrt.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 (-.f64 4/29 (*.f64 841/108 x)) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281))) (cbrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2))) (/.f64 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2)))) |
(/.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -1/2)) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 1) (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))) |
(/.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -1) (+.f64 -4/29 (/.f64 x 108/841))) |
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (-.f64 4/29 (*.f64 841/108 x))) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) |
(/.f64 (/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (-.f64 4/29 (*.f64 841/108 x))) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281))) |
(/.f64 (*.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (*.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(/.f64 (*.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (*.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))) |
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(/.f64 (/.f64 (/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (-.f64 4/29 (*.f64 841/108 x))) (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281)))) |
(/.f64 (/.f64 (*.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) 1) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) |
(/.f64 (/.f64 (*.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) (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 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) (*.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 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) 1) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281))) |
(/.f64 (/.f64 (*.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281)))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281)))) |
(/.f64 (/.f64 (*.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (-.f64 (*.f64 -841/729 (*.f64 x x)) 256/707281)))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 1) (+.f64 -4/29 (/.f64 x 108/841))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) (neg.f64 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) 2))) (neg.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) -1) (-.f64 4/29 (*.f64 841/108 x))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (sqrt.f64 (+.f64 -4/29 (/.f64 x 108/841)))) (sqrt.f64 (+.f64 -4/29 (/.f64 x 108/841)))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (*.f64 (cbrt.f64 (+.f64 -4/29 (/.f64 x 108/841))) (cbrt.f64 (+.f64 -4/29 (/.f64 x 108/841))))) (cbrt.f64 (+.f64 -4/29 (/.f64 x 108/841)))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) |
(/.f64 (/.f64 (*.f64 -1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) 2)))) (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) 1) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) (cbrt.f64 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) (sqrt.f64 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) (sqrt.f64 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) 2))) 1) (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) (sqrt.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) (cbrt.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x)))))) (cbrt.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) 2))) (cbrt.f64 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) (cbrt.f64 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) 2)))) (cbrt.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 (/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 1) (+.f64 -4/29 (/.f64 x 108/841))) |
(/.f64 (/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) (neg.f64 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 (/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) 2))) (neg.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 (/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) -1) (-.f64 4/29 (*.f64 841/108 x))) |
(/.f64 (/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (sqrt.f64 (+.f64 -4/29 (/.f64 x 108/841)))) (sqrt.f64 (+.f64 -4/29 (/.f64 x 108/841)))) |
(/.f64 (/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (*.f64 (cbrt.f64 (+.f64 -4/29 (/.f64 x 108/841))) (cbrt.f64 (+.f64 -4/29 (/.f64 x 108/841))))) (cbrt.f64 (+.f64 -4/29 (/.f64 x 108/841)))) |
(/.f64 (/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))))) (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) |
(/.f64 (/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) 2)))) (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x)))) |
(pow.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) 2)) |
(log.f64 (exp.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 3) (pow.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) 3) (pow.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))))) |
(exp.f64 (log.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) 1) |
(*.f64 1 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) |
(*.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) 1) |
(*.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -1/2) (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -2)) (cbrt.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) |
(*.f64 -1 (/.f64 1 (+.f64 -4/29 (/.f64 x 108/841)))) |
(*.f64 (/.f64 1 (+.f64 -4/29 (/.f64 x 108/841))) -1) |
(*.f64 (/.f64 1 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (+.f64 4/29 (*.f64 841/108 x))) |
(*.f64 (/.f64 1 (-.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))) -1) (pow.f64 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) 2)) -1) (pow.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))) -1)) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (neg.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) |
(*.f64 (/.f64 1 (-.f64 16/841 (*.f64 (*.f64 x -841/108) (*.f64 x -841/108)))) (+.f64 4/29 (*.f64 841/108 x))) |
(*.f64 (/.f64 1 (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3))) (-.f64 (+.f64 16/841 (*.f64 (*.f64 x -841/108) (*.f64 x -841/108))) (*.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -1/2) (sqrt.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (sqrt.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -1/2) (sqrt.f64 (-.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (+.f64 4/29 (*.f64 841/108 x))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -2)) (cbrt.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -2)) (cbrt.f64 (-.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) |
(*.f64 (/.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))) (-.f64 4096/594823321 (*.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) (*.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) |
(*.f64 (/.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))) (-.f64 262144/14507145975869 (pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 3))) (+.f64 4096/594823321 (+.f64 (*.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) (*.f64 594823321/1259712 (pow.f64 x 3))) (*.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))) |
(*.f64 (/.f64 (+.f64 4/29 (*.f64 841/108 x)) (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 (*.f64 x x) 707281/11664)))) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) |
(*.f64 (/.f64 (+.f64 4/29 (*.f64 841/108 x)) (-.f64 4096/594823321 (pow.f64 (*.f64 (*.f64 x x) 707281/11664) 3))) (+.f64 (+.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 (*.f64 x x) 707281/11664))) (*.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -1) |
(pow.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) 1) |
(pow.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 4/29 (*.f64 841/108 x))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 4/29 (*.f64 841/108 x))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 4/29 (*.f64 841/108 x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) |
| 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) |
29/4 |
(+.f64 29/4 (*.f64 707281/1728 x)) |
(+.f64 29/4 (*.f64 x 707281/1728)) |
(fma.f64 x 707281/1728 29/4) |
(+.f64 29/4 (+.f64 (*.f64 707281/1728 x) (*.f64 17249876309/746496 (pow.f64 x 2)))) |
(+.f64 29/4 (fma.f64 707281/1728 x (*.f64 17249876309/746496 (*.f64 x x)))) |
(+.f64 (fma.f64 x 707281/1728 29/4) (*.f64 x (*.f64 x 17249876309/746496))) |
(+.f64 29/4 (+.f64 (*.f64 707281/1728 x) (+.f64 (*.f64 420707233300201/322486272 (pow.f64 x 3)) (*.f64 17249876309/746496 (pow.f64 x 2))))) |
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(log1p.f64 (expm1.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841) 1) (+.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 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) 1) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(*.f64 1 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(*.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) 1) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(*.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -1/2) (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -1/2)) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -2)) (cbrt.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -2)) (cbrt.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -2)) (cbrt.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))))) |
(*.f64 -1 (/.f64 1 (+.f64 -4/29 (/.f64 x 108/841)))) |
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841))) |
(*.f64 (/.f64 1 (+.f64 -4/29 (/.f64 x 108/841))) -1) |
(/.f64 -1 (+.f64 -4/29 (/.f64 x 108/841))) |
(*.f64 (/.f64 1 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (+.f64 4/29 (*.f64 841/108 x))) |
(*.f64 (+.f64 4/29 (*.f64 841/108 x)) (/.f64 1 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))))) |
(/.f64 (fma.f64 841/108 x 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) |
(*.f64 (/.f64 1 (-.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))) |
(*.f64 (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))) (/.f64 1 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) |
(/.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) 29/27))) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))) -1) (pow.f64 (sqrt.f64 (-.f64 4/29 (*.f64 841/108 x))) -1)) |
(pow.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) -2) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) 2)) -1) (pow.f64 (cbrt.f64 (-.f64 4/29 (*.f64 841/108 x))) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 2))) (/.f64 1 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (neg.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(*.f64 (+.f64 4/29 (*.f64 841/108 x)) (/.f64 1 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))))) |
(/.f64 (fma.f64 841/108 x 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) |
(*.f64 (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))) (/.f64 1 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) |
(/.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) 29/27))) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)) |
(*.f64 (/.f64 1 (-.f64 16/841 (*.f64 (*.f64 x -841/108) (*.f64 x -841/108)))) (+.f64 4/29 (*.f64 841/108 x))) |
(*.f64 (+.f64 4/29 (*.f64 841/108 x)) (/.f64 1 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))))) |
(/.f64 (fma.f64 841/108 x 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) |
(*.f64 (/.f64 1 (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3))) (-.f64 (+.f64 16/841 (*.f64 (*.f64 x -841/108) (*.f64 x -841/108))) (*.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))) (/.f64 1 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) |
(/.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) 29/27))) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)) |
(*.f64 (/.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -1/2) (sqrt.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (sqrt.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -1/2) (sqrt.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))))) (sqrt.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -1/2) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (sqrt.f64 (fma.f64 841/108 x 4/29))) |
(*.f64 (/.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -1/2) (sqrt.f64 (-.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -1/2) (sqrt.f64 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -1/2) (sqrt.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389))) (sqrt.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) 29/27))))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (+.f64 4/29 (*.f64 841/108 x))) |
(*.f64 (+.f64 4/29 (*.f64 841/108 x)) (/.f64 1 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))))) |
(/.f64 (fma.f64 841/108 x 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))) |
(*.f64 (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))) (/.f64 1 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) |
(/.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) 29/27))) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -2)) (cbrt.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -2)) (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x)))) (cbrt.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -2)) (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (cbrt.f64 (fma.f64 841/108 x 4/29))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -2)) (cbrt.f64 (-.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -2)) (cbrt.f64 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) 29/27))))) |
(*.f64 (/.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))) (-.f64 4096/594823321 (*.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) (*.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) |
(*.f64 (/.f64 (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))) (-.f64 4096/594823321 (*.f64 353814783205469041/1586874322944 (pow.f64 (*.f64 x x) 3)))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) 29/27))) (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) |
(*.f64 (/.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))) (-.f64 262144/14507145975869 (pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 3))) (+.f64 4096/594823321 (+.f64 (*.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) (*.f64 594823321/1259712 (pow.f64 x 3))) (*.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))) |
(*.f64 (/.f64 (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))) (-.f64 262144/14507145975869 (*.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3)))) (+.f64 4096/594823321 (+.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 (*.f64 x x) 3)) (*.f64 24389/19683 (pow.f64 x 3))))) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) 29/27))) (+.f64 262144/14507145975869 (*.f64 -210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3)))) (+.f64 4096/594823321 (fma.f64 24389/19683 (pow.f64 x 3) (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944)))) |
(*.f64 (/.f64 (+.f64 4/29 (*.f64 841/108 x)) (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 (*.f64 x x) 707281/11664)))) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) |
(*.f64 (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (/.f64 (+.f64 4/29 (*.f64 841/108 x)) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) |
(/.f64 (fma.f64 841/108 x 4/29) (/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 x (*.f64 x 707281/11664) 16/841))) |
(*.f64 (/.f64 (+.f64 4/29 (*.f64 841/108 x)) (-.f64 4096/594823321 (pow.f64 (*.f64 (*.f64 x x) 707281/11664) 3))) (+.f64 (+.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 (*.f64 x x) 707281/11664))) (*.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) |
(*.f64 (/.f64 (+.f64 4/29 (*.f64 841/108 x)) (-.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944))) (+.f64 256/707281 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))))) |
(*.f64 (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 (*.f64 x x) 841/729))) (/.f64 (fma.f64 841/108 x 4/29) (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321))) |
(pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -1) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(pow.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) 1) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(pow.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -1/2) 2) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) 3) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(pow.f64 (pow.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) 3) 1/3) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(sqrt.f64 (pow.f64 (-.f64 4/29 (*.f64 841/108 x)) -2)) |
(sqrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))))) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) 3)) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(exp.f64 (*.f64 (log.f64 (-.f64 4/29 (*.f64 841/108 x))) -1)) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 4/29 (*.f64 841/108 x)))) 1)) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))) |
(/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 -841/108 x) |
| ✓ | 0.2b | (*.f64 707281/11664 x) |
| ✓ | 0.3b | (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) |
| ✓ | 16.7b | (/.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 (*.f64 (*.f64 707281/11664 x) x) (+.f64 4/29 (*.f64 -841/108 x))) |
| 0.0ms | x | @ | inf | (*.f64 707281/11664 x) |
| 0.0ms | x | @ | 0 | (*.f64 707281/11664 x) |
| 0.0ms | x | @ | inf | (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 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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2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))))))))) |
((#(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 -841/108 x))) 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 -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 neg.f64 (*.f64 -841/108 x))))) (#(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 x) -841/108))))) (#(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 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))))))) |
| 1× | egg-herbie |
| 892× | associate-*r* |
| 810× | associate-*l* |
| 788× | associate-/l* |
| 664× | associate-+r+ |
| 586× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 462 | 7010 |
| 1 | 1358 | 6176 |
| 2 | 6130 | 6176 |
| 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 (*.f64 707281/11664 x) x) (+.f64 (*.f64 (*.f64 707281/11664 x) x) 16/841)) 4/29) (*.f64 (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 (*.f64 (*.f64 707281/11664 x) x) 16/841)) (*.f64 -841/108 x))) |
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(+.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 (+.f64 4/29 (*.f64 -841/108 x))))) 1) |
(*.f64 16/841 (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 16/841 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (+.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 (+.f64 4/29 (*.f64 -841/108 x))) 1) |
(*.f64 1 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 (/.f64 4/29 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (/.f64 4/29 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 (cbrt.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x)))) (cbrt.f64 (/.f64 256/707281 (pow.f64 (+.f64 4/29 (*.f64 -841/108 x)) 2)))) |
(*.f64 (cbrt.f64 (/.f64 256/707281 (pow.f64 (+.f64 4/29 (*.f64 -841/108 x)) 2))) (cbrt.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x))) 16/841) |
(*.f64 -16/841 (/.f64 1 (+.f64 (*.f64 -841/108 x) -4/29))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (/.f64 16/841 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2)) (/.f64 16/841 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 (/.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (+.f64 4/29 (*.f64 -841/108 x))) |
(*.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 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.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 -841/108 x) -4/29)) -16/841) |
(*.f64 (/.f64 16/841 (+.f64 -16/841 (*.f64 707281/11664 (*.f64 x x)))) (+.f64 (*.f64 -841/108 x) -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 -841/108 x) 4/29)) |
(*.f64 (/.f64 -16/841 (+.f64 -16/841 (*.f64 707281/11664 (*.f64 x x)))) (+.f64 4/29 (*.f64 -841/108 x))) |
(*.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 (+.f64 4/29 (*.f64 -841/108 x)))) (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 (+.f64 4/29 (*.f64 -841/108 x)))) (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 (/.f64 (/.f64 16/841 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 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 (+.f64 4/29 (*.f64 -841/108 x))) 2)) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841))) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(pow.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) 1) |
(pow.f64 (/.f64 4/29 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) 3) 1/3) |
(pow.f64 (*.f64 (+.f64 4/29 (*.f64 -841/108 x)) 841/16) -1) |
(sqrt.f64 (/.f64 256/707281 (pow.f64 (+.f64 4/29 (*.f64 -841/108 x)) 2))) |
(log.f64 (exp.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))))) |
(exp.f64 (log.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))))) |
(-.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 -841/108 x))) 1) |
(pow.f64 (*.f64 707281/11664 (*.f64 x x)) 1/2) |
(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) |
(neg.f64 (*.f64 -841/108 x)) |
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) |
(fabs.f64 (*.f64 -841/108 x)) |
(log.f64 (pow.f64 (exp.f64 x) -841/108)) |
(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))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -841/108 x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 -841/108 x))) |
| 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 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 -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 -841/108 x -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 -841/108 x -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 (/.f64 746496/17249876309 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 -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 -841/108 x -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 -841/108 x -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 (/.f64 746496/17249876309 x) x)) |
(+.f64 (-.f64 (fma.f64 x -841/108 -4/29) (/.f64 1728/707281 x)) (/.f64 -746496/17249876309 (*.f64 x x))) |
4/29 |
(+.f64 4/29 (*.f64 841/108 x)) |
(+.f64 4/29 (*.f64 x 841/108)) |
(fma.f64 x 841/108 4/29) |
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 20511149/46656 (pow.f64 x 2)))) |
(+.f64 4/29 (fma.f64 841/108 x (*.f64 20511149/46656 (*.f64 x x)))) |
(+.f64 (*.f64 20511149/46656 (*.f64 x x)) (fma.f64 x 841/108 4/29)) |
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3))))) |
(+.f64 4/29 (fma.f64 841/108 x (fma.f64 20511149/46656 (*.f64 x x) (*.f64 500246412961/20155392 (pow.f64 x 3))))) |
(+.f64 (fma.f64 500246412961/20155392 (pow.f64 x 3) (*.f64 20511149/46656 (*.f64 x x))) (fma.f64 x 841/108 4/29)) |
(/.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 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x)))) |
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 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 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3))) |
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (-.f64 (/.f64 -1728/707281 x) (/.f64 322486272/420707233300201 (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))))))) |
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)) (/.f64 1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3))))) |
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))))) |
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (-.f64 (/.f64 -1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))))) |
(/.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 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x)))) |
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 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 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3))) |
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (-.f64 (/.f64 -1728/707281 x) (/.f64 322486272/420707233300201 (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))))))) |
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)) (/.f64 1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3))))) |
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))))) |
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (-.f64 (/.f64 -1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 (*.f64 (*.f64 707281/11664 x) x) 16/841)) 4/29) (*.f64 (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 (*.f64 (*.f64 707281/11664 x) x) 16/841)) (*.f64 -841/108 x))) |
(*.f64 (/.f64 (*.f64 x 707281/11664) (/.f64 (fma.f64 (*.f64 x 707281/11664) x 16/841) x)) (+.f64 (*.f64 x -841/108) 4/29)) |
(/.f64 (*.f64 x 707281/11664) (/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 x (fma.f64 x -841/108 4/29)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 (*.f64 (*.f64 707281/11664 x) x) 16/841)) (*.f64 -841/108 x)) (*.f64 (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 (*.f64 (*.f64 707281/11664 x) x) 16/841)) 4/29)) |
(*.f64 (/.f64 (*.f64 x 707281/11664) (/.f64 (fma.f64 (*.f64 x 707281/11664) x 16/841) x)) (+.f64 (*.f64 x -841/108) 4/29)) |
(/.f64 (*.f64 x 707281/11664) (/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 x (fma.f64 x -841/108 4/29)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) 16/841) (*.f64 (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (*.f64 x (+.f64 (*.f64 707281/11664 x) -29/27)))) |
(*.f64 (/.f64 (*.f64 x 707281/11664) (/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)) x)) (+.f64 16/841 (*.f64 x (fma.f64 707281/11664 x -29/27)))) |
(*.f64 x (*.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841) (/.f64 (*.f64 x 707281/11664) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 707281/11664 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 x) x) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) 16/841)) |
(*.f64 (/.f64 (*.f64 x 707281/11664) (/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)) x)) (+.f64 16/841 (*.f64 x (fma.f64 707281/11664 x -29/27)))) |
(*.f64 x (*.f64 (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841) (/.f64 (*.f64 x 707281/11664) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))) |
(+.f64 (*.f64 4/29 (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 (*.f64 (*.f64 707281/11664 x) x) 16/841))) (*.f64 (*.f64 -841/108 x) (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 (*.f64 (*.f64 707281/11664 x) x) 16/841)))) |
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(pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2) |
(pow.f64 (cbrt.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x)))) 3) |
(/.f64 16/841 (+.f64 (*.f64 x -841/108) 4/29)) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(pow.f64 (pow.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) 3) 1/3) |
(/.f64 16/841 (+.f64 (*.f64 x -841/108) 4/29)) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(pow.f64 (*.f64 (+.f64 4/29 (*.f64 -841/108 x)) 841/16) -1) |
(/.f64 16/841 (+.f64 (*.f64 x -841/108) 4/29)) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(sqrt.f64 (/.f64 256/707281 (pow.f64 (+.f64 4/29 (*.f64 -841/108 x)) 2))) |
(sqrt.f64 (/.f64 256/707281 (pow.f64 (+.f64 (*.f64 x -841/108) 4/29) 2))) |
(sqrt.f64 (/.f64 256/707281 (pow.f64 (fma.f64 x -841/108 4/29) 2))) |
(log.f64 (exp.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 16/841 (+.f64 (*.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 (+.f64 4/29 (*.f64 -841/108 x)))))) |
(/.f64 16/841 (+.f64 (*.f64 x -841/108) 4/29)) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(cbrt.f64 (pow.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) 3)) |
(/.f64 16/841 (+.f64 (*.f64 x -841/108) 4/29)) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(expm1.f64 (log1p.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 16/841 (+.f64 (*.f64 x -841/108) 4/29)) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(exp.f64 (log.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 16/841 (+.f64 (*.f64 x -841/108) 4/29)) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(exp.f64 (*.f64 (log.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x)))) 1)) |
(/.f64 16/841 (+.f64 (*.f64 x -841/108) 4/29)) |
(/.f64 16/841 (fma.f64 x -841/108 4/29)) |
(log1p.f64 (expm1.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 16/841 (+.f64 (*.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 -841/108 x))) 1) |
(*.f64 x -841/108) |
(pow.f64 (*.f64 707281/11664 (*.f64 x x)) 1/2) |
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) |
(pow.f64 (*.f64 -841/108 x) 1) |
(*.f64 x -841/108) |
(pow.f64 (sqrt.f64 (*.f64 -841/108 x)) 2) |
(*.f64 x -841/108) |
(pow.f64 (cbrt.f64 (*.f64 -841/108 x)) 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 -841/108 x)) |
(*.f64 x 841/108) |
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) |
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) |
(fabs.f64 (*.f64 -841/108 x)) |
(*.f64 x -841/108) |
(log.f64 (pow.f64 (exp.f64 x) -841/108)) |
(*.f64 x -841/108) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -841/108 x)))) |
(*.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 -841/108 x))) |
(*.f64 x -841/108) |
(exp.f64 (log.f64 (*.f64 -841/108 x))) |
(*.f64 x -841/108) |
(exp.f64 (*.f64 (log.f64 (*.f64 -841/108 x)) 1)) |
(*.f64 x -841/108) |
(log1p.f64 (expm1.f64 (*.f64 -841/108 x))) |
(*.f64 x -841/108) |
Compiled 24906 to 19358 computations (22.3% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1065 | 6 | 1071 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 1 | 4 |
| Total | 1071 | 8 | 1079 |
| Status | Error | Program |
|---|---|---|
| ▶ | 17.9b | (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
| ▶ | 29.8b | (/.f64 1 (/.f64 108/841 x)) |
| ▶ | 0.4b | (-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x)) |
| 0.5b | (-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 (/.f64 x (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 707281/11664 x))) | |
| ✓ | 0.1b | (+.f64 4/29 (*.f64 841/108 x)) |
| ▶ | 47.8b | (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) |
| ▶ | 29.7b | (*.f64 841/108 x) |
| 33.1b | 4/29 |
Compiled 160 to 127 computations (20.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x) |
| 0.2b | (*.f64 707281/11664 x) | |
| 0.3b | (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) | |
| ✓ | 0.6b | (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) |
Compiled 63 to 49 computations (22.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x) |
| 1× | batch-egg-rewrite |
| 1802× | associate-*l/ |
| 1634× | associate-/r* |
| 1462× | associate-/l* |
| 640× | associate-/r/ |
| 240× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 56 |
| 1 | 243 | 48 |
| 2 | 3205 | 48 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) |
(*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 914× | associate-*r* |
| 786× | associate-/l/ |
| 778× | *-commutative |
| 726× | associate-*l* |
| 720× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 612 | 9795 |
| 1 | 1707 | 8143 |
| 2 | 7267 | 8143 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 20511149/46656 x) |
(+.f64 (*.f64 20511149/46656 x) (*.f64 500246412961/20155392 (pow.f64 x 2))) |
(+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (*.f64 20511149/46656 x) (*.f64 500246412961/20155392 (pow.f64 x 2)))) |
(+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 4)) (+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (*.f64 20511149/46656 x) (*.f64 500246412961/20155392 (pow.f64 x 2))))) |
-841/108 |
(neg.f64 (+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))) |
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))) |
-841/108 |
(neg.f64 (+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))) |
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(*.f64 20511149/46656 (pow.f64 x 2)) |
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(*.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)))) |
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(*.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)))) |
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(*.f64 (/.f64 (/.f64 x 11664/707281) (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841)) (-.f64 (*.f64 -841/108 x) 4/29)) |
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(*.f64 (/.f64 (/.f64 707281/11664 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) x)) (cbrt.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))))) (cbrt.f64 (+.f64 4/29 (*.f64 841/108 x)))) |
(pow.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) 1) |
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(pow.f64 (cbrt.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) 3) 1/3) |
(pow.f64 (*.f64 (+.f64 4/29 (*.f64 -841/108 x)) (/.f64 11664/707281 x)) -1) |
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(/.f64 (/.f64 707281/11664 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) x)) (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) x)) |
(/.f64 (/.f64 x (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 11664/707281 x)) |
(/.f64 (/.f64 x (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 707281/11664 x))) |
(/.f64 (/.f64 707281/11664 (/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x x))) (/.f64 1 (+.f64 4/29 (*.f64 841/108 x)))) |
(/.f64 (/.f64 x (/.f64 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3))) (*.f64 707281/11664 x))) (/.f64 1 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 (*.f64 -29/27 x) 16/841)))) |
(/.f64 (*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (-.f64 -4/29 (*.f64 -841/108 x))) |
(/.f64 (/.f64 x 1) (*.f64 (+.f64 4/29 (*.f64 -841/108 x)) (/.f64 11664/707281 x))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2)) (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 707281/11664 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 707281/11664 x)) 2) x) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (cbrt.f64 (*.f64 707281/11664 x)))) |
(/.f64 (*.f64 (/.f64 x 11664/707281) x) (+.f64 4/29 (*.f64 -841/108 x))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 707281/11664)) x) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (*.f64 (/.f64 707281/11664 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) x)) x) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (*.f64 -1 x) (neg.f64 (*.f64 (+.f64 4/29 (*.f64 -841/108 x)) (/.f64 11664/707281 x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x -707281/11664)) x) (neg.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x -707281/11664)) 1) (-.f64 -4/29 (*.f64 -841/108 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 x -707281/11664) x) 1) (-.f64 -4/29 (*.f64 -841/108 x))) |
(/.f64 (*.f64 (/.f64 x (/.f64 11664/707281 x)) 1) (+.f64 4/29 (*.f64 -841/108 x))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 707281/11664)) 1) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (*.f64 707281/11664 x))) 1) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 1) (-.f64 -4/29 (*.f64 -841/108 x))) |
(/.f64 (*.f64 (*.f64 -841/108 x) (/.f64 x (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) -841/108))) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (*.f64 1 (*.f64 (/.f64 841/108 (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) x)) (sqrt.f64 (*.f64 (+.f64 4/29 (*.f64 -841/108 x)) (/.f64 11664/707281 x)))) |
(/.f64 (*.f64 (*.f64 841/108 (sqrt.f64 x)) (*.f64 (/.f64 841/108 (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) x)) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (*.f64 841/108 (*.f64 (/.f64 841/108 (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) x)) (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 x -707281/11664)) (*.f64 (/.f64 841/108 (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) x)) (sqrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -841/108 x)) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x)) 2)) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (*.f64 (*.f64 707281/11664 x) (/.f64 x (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (*.f64 (*.f64 707281/11664 x) (/.f64 x (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2)) |
(/.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 4/29 (*.f64 841/108 x))) (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 (*.f64 -29/27 x) 16/841))) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) |
(/.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2)) |
(/.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 (+.f64 4/29 (*.f64 -841/108 x)) (/.f64 11664/707281 x))) (cbrt.f64 (*.f64 (+.f64 4/29 (*.f64 -841/108 x)) (/.f64 11664/707281 x))))) (cbrt.f64 (*.f64 (+.f64 4/29 (*.f64 -841/108 x)) (/.f64 11664/707281 x)))) |
(/.f64 (/.f64 x (/.f64 1 x)) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) 707281/11664)) |
(/.f64 (/.f64 x (/.f64 108/841 (sqrt.f64 x))) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (*.f64 841/108 (sqrt.f64 x)))) |
(/.f64 (/.f64 x (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 707281/11664 x)) 2))) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (cbrt.f64 (*.f64 707281/11664 x)))) |
(/.f64 (/.f64 x (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) x)) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 707281/11664)) |
(/.f64 (/.f64 x (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 841/108 (sqrt.f64 x)))) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 841/108 (sqrt.f64 x)))) |
(/.f64 (/.f64 x (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (pow.f64 (cbrt.f64 (*.f64 707281/11664 x)) 2))) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (cbrt.f64 (*.f64 707281/11664 x)))) |
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) x)) (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 707281/11664)) |
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (*.f64 841/108 (sqrt.f64 x)))) (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 841/108 (sqrt.f64 x)))) |
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (pow.f64 (cbrt.f64 (*.f64 707281/11664 x)) 2))) (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (cbrt.f64 (*.f64 707281/11664 x)))) |
(/.f64 (/.f64 (*.f64 707281/11664 x) (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(/.f64 (/.f64 (*.f64 707281/11664 x) (*.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)))) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(/.f64 (/.f64 (*.f64 707281/11664 x) (/.f64 1 (sqrt.f64 x))) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 707281/11664 x) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 707281/11664 x) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (sqrt.f64 x))) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 707281/11664 x) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 707281/11664 x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 707281/11664 x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) 1) (-.f64 -4/29 (*.f64 -841/108 x))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (neg.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2)) (neg.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) (sqrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) (sqrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x))) (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x))))) (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) -1) (+.f64 4/29 (*.f64 -841/108 x))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) (neg.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2))) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) 1) (-.f64 -4/29 (*.f64 -841/108 x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (neg.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2)) (neg.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) (sqrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) (sqrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) (*.f64 (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x))) (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x))))) (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) -1) (+.f64 4/29 (*.f64 -841/108 x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) (neg.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2))) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 11664/707281 x)) 1) (+.f64 4/29 (*.f64 -841/108 x))) |
(/.f64 (/.f64 (/.f64 x (/.f64 11664/707281 x)) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2)) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 707281/11664)) 1) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 707281/11664)) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (cbrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 707281/11664)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 707281/11664)) (sqrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (sqrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (*.f64 707281/11664 x))) 1) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (*.f64 707281/11664 x))) (sqrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (sqrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (*.f64 707281/11664 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (*.f64 707281/11664 x))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (cbrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))))) (cbrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (*.f64 707281/11664 x))) (cbrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (cbrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 1) (-.f64 -4/29 (*.f64 -841/108 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (neg.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2)) (neg.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (sqrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) (sqrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (*.f64 (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x))) (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x))))) (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) -1) (+.f64 4/29 (*.f64 -841/108 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (neg.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2))) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(pow.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x) 1) |
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) -841/108)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x) 3)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x))) |
| Outputs |
|---|
(*.f64 20511149/46656 x) |
(+.f64 (*.f64 20511149/46656 x) (*.f64 500246412961/20155392 (pow.f64 x 2))) |
(fma.f64 20511149/46656 x (*.f64 500246412961/20155392 (*.f64 x x))) |
(fma.f64 20511149/46656 x (*.f64 (*.f64 500246412961/20155392 x) x)) |
(+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (*.f64 20511149/46656 x) (*.f64 500246412961/20155392 (pow.f64 x 2)))) |
(fma.f64 12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 20511149/46656 x (*.f64 500246412961/20155392 (*.f64 x x)))) |
(fma.f64 12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 20511149/46656 x (*.f64 (*.f64 500246412961/20155392 x) x))) |
(+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 4)) (+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (*.f64 20511149/46656 x) (*.f64 500246412961/20155392 (pow.f64 x 2))))) |
(fma.f64 297558232675799463481/3761479876608 (pow.f64 x 4) (fma.f64 12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 20511149/46656 x (*.f64 500246412961/20155392 (*.f64 x x))))) |
(fma.f64 297558232675799463481/3761479876608 (pow.f64 x 4) (fma.f64 12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 20511149/46656 x (*.f64 (*.f64 500246412961/20155392 x) x)))) |
-841/108 |
(neg.f64 (+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))) |
(neg.f64 (+.f64 841/108 (/.f64 4/29 x))) |
(+.f64 -841/108 (/.f64 -4/29 x)) |
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 841/108 (/.f64 4/29 x)) (/.f64 1728/707281 (*.f64 x x)))) |
(-.f64 (+.f64 -841/108 (/.f64 -4/29 x)) (/.f64 (/.f64 1728/707281 x) x)) |
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1728/707281 (*.f64 x x)) (+.f64 841/108 (+.f64 (/.f64 4/29 x) (/.f64 746496/17249876309 (pow.f64 x 3)))))) |
(-.f64 (/.f64 -1728/707281 (*.f64 x x)) (+.f64 (+.f64 841/108 (/.f64 4/29 x)) (/.f64 746496/17249876309 (pow.f64 x 3)))) |
-841/108 |
(neg.f64 (+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))) |
(neg.f64 (+.f64 841/108 (/.f64 4/29 x))) |
(+.f64 -841/108 (/.f64 -4/29 x)) |
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 841/108 (/.f64 4/29 x)) (/.f64 1728/707281 (*.f64 x x)))) |
(-.f64 (+.f64 -841/108 (/.f64 -4/29 x)) (/.f64 (/.f64 1728/707281 x) x)) |
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1728/707281 (*.f64 x x)) (+.f64 841/108 (+.f64 (/.f64 4/29 x) (/.f64 746496/17249876309 (pow.f64 x 3)))))) |
(-.f64 (/.f64 -1728/707281 (*.f64 x x)) (+.f64 (+.f64 841/108 (/.f64 4/29 x)) (/.f64 746496/17249876309 (pow.f64 x 3)))) |
(*.f64 20511149/46656 (pow.f64 x 2)) |
(*.f64 20511149/46656 (*.f64 x x)) |
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(fma.f64 500246412961/20155392 (pow.f64 x 3) (*.f64 20511149/46656 (*.f64 x x))) |
(+.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))))) |
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(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(-.f64 (*.f64 -841/108 x) 4/29) |
(fma.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 -841/108 x -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 -841/108 x -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 (/.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) |
(fma.f64 x -841/108 -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 (fma.f64 x -841/108 -4/29) (/.f64 1728/707281 x)) |
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(-.f64 (fma.f64 -841/108 x -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 (/.f64 746496/17249876309 x) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))))) 1) |
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(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 707281/11664 (/.f64 x (+.f64 4/29 (*.f64 -841/108 x)))) |
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(*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) 1) |
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(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
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(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
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(*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
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(pow.f64 (/.f64 841/108 (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) x))) 2) |
(pow.f64 (/.f64 841/108 (sqrt.f64 (/.f64 (fma.f64 x -841/108 4/29) x))) 2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 707281/11664 x)) 2) (*.f64 (cbrt.f64 (*.f64 707281/11664 x)) (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x))))) |
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(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
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(*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x)))) 2) (cbrt.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 707281/11664 x)) |
(*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 (*.f64 x -707281/11664) (/.f64 -1 (+.f64 4/29 (*.f64 -841/108 x)))) |
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(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
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(*.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (*.f64 (/.f64 x (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664)) |
(/.f64 x (/.f64 (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (fma.f64 x -841/108 4/29))) 707281/11664)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2)) (/.f64 (*.f64 707281/11664 x) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (/.f64 707281/11664 (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 707281/11664 (cbrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 x 11664/707281) (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (/.f64 x 11664/707281)) |
(/.f64 x (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)) |
(*.f64 (/.f64 x (+.f64 4/29 (*.f64 -841/108 x))) 707281/11664) |
(*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 x (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (/.f64 707281/11664 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
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(/.f64 x (/.f64 (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (fma.f64 x -841/108 4/29))) 707281/11664)) |
(*.f64 (/.f64 1 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) (*.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 841/108 x)))) |
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(/.f64 (*.f64 x (*.f64 -707281/11664 (fma.f64 x 841/108 4/29))) (fma.f64 x (*.f64 x 707281/11664) -16/841)) |
(*.f64 (/.f64 1 (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (*.f64 (*.f64 707281/11664 x) (-.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 (*.f64 -29/27 x) 16/841)))) |
(/.f64 (*.f64 1 (*.f64 707281/11664 (*.f64 x (-.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 -29/27 x -16/841))))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) |
(*.f64 (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) -29/27))) (/.f64 707281/11664 (/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) x))) |
(*.f64 (/.f64 707281/11664 (+.f64 4/29 (*.f64 -841/108 x))) x) |
(*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 x (/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) 707281/11664)) (+.f64 4/29 (*.f64 841/108 x))) |
(*.f64 (/.f64 1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (*.f64 (*.f64 x 707281/11664) (+.f64 4/29 (*.f64 x 841/108)))) |
(/.f64 (*.f64 x (*.f64 -707281/11664 (fma.f64 x 841/108 4/29))) (fma.f64 x (*.f64 x 707281/11664) -16/841)) |
(*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 64/24389 (*.f64 -594823321/1259712 (pow.f64 x 3)))) (-.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 (*.f64 -29/27 x) 16/841))) |
(/.f64 (*.f64 1 (*.f64 707281/11664 (*.f64 x (-.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 -29/27 x -16/841))))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) |
(*.f64 (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) -29/27))) (/.f64 707281/11664 (/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) x))) |
(*.f64 (/.f64 -1 (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 x -707281/11664)) |
(*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 707281/11664 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (/.f64 x (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (*.f64 (/.f64 x (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664)) |
(/.f64 x (/.f64 (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (fma.f64 x -841/108 4/29))) 707281/11664)) |
(*.f64 (/.f64 707281/11664 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (/.f64 707281/11664 (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 707281/11664 (cbrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 x 1) (/.f64 707281/11664 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2)) (/.f64 707281/11664 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (/.f64 707281/11664 (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 707281/11664 (cbrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 (sqrt.f64 x) 108/841) (/.f64 (*.f64 841/108 (sqrt.f64 x)) (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) 108/841) (/.f64 (*.f64 841/108 (sqrt.f64 x)) (+.f64 4/29 (*.f64 x -841/108)))) |
(/.f64 (/.f64 (*.f64 x 841/108) (fma.f64 x -841/108 4/29)) 108/841) |
(*.f64 (/.f64 (*.f64 841/108 (sqrt.f64 x)) (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 841/108 (sqrt.f64 x))) |
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(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (/.f64 707281/11664 (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 707281/11664 (cbrt.f64 (fma.f64 x -841/108 4/29)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 707281/11664 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 707281/11664 x)) (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) |
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(*.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (*.f64 (/.f64 x (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664)) |
(/.f64 x (/.f64 (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (fma.f64 x -841/108 4/29))) 707281/11664)) |
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(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x))) (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x))))) (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) -1) (+.f64 4/29 (*.f64 -841/108 x))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) (neg.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) |
(pow.f64 (*.f64 -841/108 (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29)))) 2) |
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2))) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) 1) (-.f64 -4/29 (*.f64 -841/108 x))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (neg.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) |
(pow.f64 (*.f64 -841/108 (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29)))) 2) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2)) (neg.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) (sqrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) (sqrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) (*.f64 (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x))) (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x))))) (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) -1) (+.f64 4/29 (*.f64 -841/108 x))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) (neg.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) |
(pow.f64 (*.f64 -841/108 (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29)))) 2) |
(/.f64 (/.f64 (*.f64 (*.f64 x -707281/11664) x) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2))) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (/.f64 x (/.f64 11664/707281 x)) 1) (+.f64 4/29 (*.f64 -841/108 x))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (/.f64 x (/.f64 11664/707281 x)) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2)) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 707281/11664)) 1) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) |
(pow.f64 (*.f64 -841/108 (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29)))) 2) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 707281/11664)) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (cbrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (cbrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) |
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 (*.f64 x (/.f64 707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29)))) (cbrt.f64 (fma.f64 x -841/108 4/29)))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 707281/11664)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)))) |
(*.f64 (/.f64 x (sqrt.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 (*.f64 x (/.f64 707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29)))) (fabs.f64 (cbrt.f64 (fma.f64 x -841/108 4/29))))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 707281/11664)) (sqrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (sqrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) |
(pow.f64 (*.f64 -841/108 (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29)))) 2) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (*.f64 707281/11664 x))) 1) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (*.f64 707281/11664 x))) (sqrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (sqrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (*.f64 707281/11664 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (*.f64 x 707281/11664)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 (*.f64 x 707281/11664) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (*.f64 707281/11664 x))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (cbrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))))) (cbrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (*.f64 707281/11664 x))) (cbrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (cbrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (*.f64 x 707281/11664)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (cbrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 (*.f64 x 707281/11664) (cbrt.f64 (sqrt.f64 (fma.f64 x -841/108 4/29))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 1) (-.f64 -4/29 (*.f64 -841/108 x))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (neg.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) |
(pow.f64 (*.f64 -841/108 (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29)))) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2)) (neg.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (sqrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) (sqrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (*.f64 (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x))) (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x))))) (cbrt.f64 (-.f64 -4/29 (*.f64 -841/108 x)))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) -1) (+.f64 4/29 (*.f64 -841/108 x))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (neg.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) |
(pow.f64 (*.f64 -841/108 (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29)))) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2))) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(pow.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x) 1) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) -841/108)) 2) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) |
(pow.f64 (*.f64 -841/108 (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x)) 3) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x) 3) 1/3) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x) 2)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) 2)) |
(fabs.f64 (/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29))) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x)))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x) 3)) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) 3))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) 3) (pow.f64 x 3))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x)) 1)) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x))) |
(*.f64 x (*.f64 x (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))))) |
(/.f64 (*.f64 x (/.f64 x 11664/707281)) (fma.f64 x -841/108 4/29)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 841/108 x) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 108/841 x) |
| ✓ | 0.3b | (/.f64 1 (/.f64 108/841 x)) |
Compiled 12 to 9 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 108/841 x) |
| 0.0ms | x | @ | inf | (/.f64 108/841 x) |
| 0.0ms | x | @ | -inf | (/.f64 108/841 x) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 108/841 x)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 108/841 x)) |
| 1× | batch-egg-rewrite |
| 1336× | add-sqr-sqrt |
| 1300× | *-un-lft-identity |
| 1230× | add-cube-cbrt |
| 1220× | add-cbrt-cube |
| 1206× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 149 | 14 |
| 2 | 1730 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 108/841 x)) |
(/.f64 108/841 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (/.f64 108/841 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 108/841 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (/.f64 108/841 x))) (sqrt.f64 (/.f64 1 (/.f64 108/841 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (/.f64 108/841 x))) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 108/841 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 108/841 x))) 2) (cbrt.f64 (/.f64 1 (/.f64 108/841 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -841/108 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 108/841 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 108/841 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (/.f64 108/841 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (/.f64 108/841 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (/.f64 108/841 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (/.f64 108/841 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (/.f64 108/841 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (/.f64 108/841 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (/.f64 108/841 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1 (/.f64 108/841 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (/.f64 108/841 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 108/841 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 108/841 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 108/841 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 108/841 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 108/841 x)) (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) (cbrt.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 108/841)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -108/841 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 108/841 x) 1)))) (#(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 108/841 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 108/841 x))))))) |
| 1× | egg-herbie |
| 1504× | distribute-lft-in |
| 960× | unswap-sqr |
| 832× | *-commutative |
| 574× | associate-*r/ |
| 556× | associate--r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 710 |
| 1 | 217 | 608 |
| 2 | 1042 | 500 |
| 3 | 5041 | 500 |
| 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) |
(-.f64 (+.f64 1 (/.f64 1 (/.f64 108/841 x))) 1) |
(*.f64 1 (/.f64 1 (/.f64 108/841 x))) |
(*.f64 x 841/108) |
(*.f64 (/.f64 1 (/.f64 108/841 x)) 1) |
(*.f64 (sqrt.f64 (/.f64 1 (/.f64 108/841 x))) (sqrt.f64 (/.f64 1 (/.f64 108/841 x)))) |
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 108/841 x))) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 108/841 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 108/841 x))) 2) (cbrt.f64 (/.f64 1 (/.f64 108/841 x)))) |
(*.f64 841/108 x) |
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1)) |
(*.f64 -1 (/.f64 1 (/.f64 -108/841 x))) |
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 -841/108 (neg.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1)) |
(pow.f64 (/.f64 108/841 x) -1) |
(pow.f64 (/.f64 1 (/.f64 108/841 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 1 (/.f64 108/841 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 108/841 x))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (/.f64 108/841 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 1 (/.f64 108/841 x)) 2)) |
(log.f64 (exp.f64 (/.f64 1 (/.f64 108/841 x)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 108/841 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 108/841 x)))) |
(exp.f64 (log.f64 (/.f64 1 (/.f64 108/841 x)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 108/841 x)))) |
(-.f64 (+.f64 1 (/.f64 108/841 x)) 1) |
(*.f64 1 (/.f64 108/841 x)) |
(*.f64 108/841 (/.f64 1 x)) |
(*.f64 (/.f64 108/841 x) 1) |
(*.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x))) |
(*.f64 (cbrt.f64 (/.f64 108/841 x)) (cbrt.f64 (/.f64 11664/707281 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) (cbrt.f64 (/.f64 108/841 x))) |
(*.f64 (/.f64 1 x) 108/841) |
(*.f64 -108/841 (/.f64 1 (neg.f64 x))) |
(pow.f64 (/.f64 108/841 x) 1) |
(pow.f64 (*.f64 x 841/108) -1) |
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3) |
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3) |
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 108/841 x))) |
(cbrt.f64 (pow.f64 (/.f64 108/841 x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 108/841 x))) |
(exp.f64 (log.f64 (/.f64 108/841 x))) |
(log1p.f64 (expm1.f64 (/.f64 108/841 x))) |
| 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) |
(-.f64 (+.f64 1 (/.f64 1 (/.f64 108/841 x))) 1) |
(*.f64 841/108 x) |
(*.f64 1 (/.f64 1 (/.f64 108/841 x))) |
(*.f64 841/108 x) |
(*.f64 x 841/108) |
(*.f64 841/108 x) |
(*.f64 (/.f64 1 (/.f64 108/841 x)) 1) |
(*.f64 841/108 x) |
(*.f64 (sqrt.f64 (/.f64 1 (/.f64 108/841 x))) (sqrt.f64 (/.f64 1 (/.f64 108/841 x)))) |
(*.f64 841/108 x) |
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 108/841 x))) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 108/841 x))) 2)) |
(*.f64 841/108 x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 108/841 x))) 2) (cbrt.f64 (/.f64 1 (/.f64 108/841 x)))) |
(*.f64 841/108 x) |
(*.f64 841/108 x) |
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1)) |
(*.f64 841/108 x) |
(*.f64 -1 (/.f64 1 (/.f64 -108/841 x))) |
(*.f64 841/108 x) |
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 841/108 x) |
(*.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 841/108 x) |
(*.f64 -841/108 (neg.f64 x)) |
(*.f64 841/108 x) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1)) |
(*.f64 841/108 x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x)))) (/.f64 1 (cbrt.f64 (/.f64 108/841 x)))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (/.f64 108/841 x))) 1) (cbrt.f64 (/.f64 11664/707281 (*.f64 x x)))) |
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 108/841 x))) (cbrt.f64 (/.f64 11664/707281 (*.f64 x x)))) |
(pow.f64 (/.f64 108/841 x) -1) |
(*.f64 841/108 x) |
(pow.f64 (/.f64 1 (/.f64 108/841 x)) 1) |
(*.f64 841/108 x) |
(pow.f64 (sqrt.f64 (/.f64 1 (/.f64 108/841 x))) 2) |
(*.f64 841/108 x) |
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 108/841 x))) 3) |
(*.f64 841/108 x) |
(pow.f64 (pow.f64 (/.f64 1 (/.f64 108/841 x)) 3) 1/3) |
(*.f64 841/108 x) |
(sqrt.f64 (pow.f64 (/.f64 1 (/.f64 108/841 x)) 2)) |
(*.f64 841/108 x) |
(log.f64 (exp.f64 (/.f64 1 (/.f64 108/841 x)))) |
(*.f64 841/108 x) |
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 108/841 x)) 3)) |
(*.f64 841/108 x) |
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 108/841 x)))) |
(*.f64 841/108 x) |
(exp.f64 (log.f64 (/.f64 1 (/.f64 108/841 x)))) |
(*.f64 841/108 x) |
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 108/841 x)))) |
(*.f64 841/108 x) |
(-.f64 (+.f64 1 (/.f64 108/841 x)) 1) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(*.f64 1 (/.f64 108/841 x)) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(*.f64 108/841 (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(*.f64 (/.f64 108/841 x) 1) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(*.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x))) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(*.f64 (cbrt.f64 (/.f64 108/841 x)) (cbrt.f64 (/.f64 11664/707281 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) (cbrt.f64 (/.f64 108/841 x))) |
(*.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) (cbrt.f64 (/.f64 108/841 x))) |
(*.f64 (/.f64 1 x) 108/841) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(*.f64 -108/841 (/.f64 1 (neg.f64 x))) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(pow.f64 (/.f64 108/841 x) 1) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(pow.f64 (*.f64 x 841/108) -1) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 108/841 x))) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(cbrt.f64 (pow.f64 (/.f64 108/841 x) 3)) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(expm1.f64 (log1p.f64 (/.f64 108/841 x))) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(exp.f64 (log.f64 (/.f64 108/841 x))) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
(log1p.f64 (expm1.f64 (/.f64 108/841 x))) |
(+.f64 1 (-.f64 (/.f64 108/841 x) 1)) |
(+.f64 (/.f64 108/841 x) 0) |
(/.f64 108/841 x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) | |
| 0.1b | (*.f64 -707281/11664 (*.f64 x x)) | |
| ✓ | 0.2b | (/.f64 -108/841 x) |
| ✓ | 16.9b | (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) |
Compiled 34 to 20 computations (41.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) |
| 0.0ms | x | @ | 0 | (/.f64 -108/841 x) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) |
| 0.0ms | x | @ | inf | (/.f64 -108/841 x) |
| 1× | batch-egg-rewrite |
| 1468× | associate-*r/ |
| 1072× | associate-*l/ |
| 1064× | *-commutative |
| 544× | associate-/r* |
| 516× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 1 | 245 | 34 |
| 2 | 3100 | 34 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) |
(/.f64 -108/841 x) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1798× | associate-/l* |
| 1012× | associate-*l* |
| 820× | associate-*r* |
| 754× | times-frac |
| 704× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 502 | 10252 |
| 1 | 1432 | 9084 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1728/707281 x) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(*.f64 841/108 x) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(*.f64 841/108 x) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(+.f64 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)) (/.f64 -1728/707281 x)) |
(+.f64 (/.f64 -1728/707281 x) (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x))) |
(+.f64 (*.f64 1 (/.f64 -1728/707281 x)) (*.f64 1 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)))) |
(+.f64 (*.f64 1 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x))) (*.f64 1 (/.f64 -1728/707281 x))) |
(+.f64 (*.f64 (/.f64 -1728/707281 x) 1) (*.f64 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)) 1)) |
(+.f64 (*.f64 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)) 1) (*.f64 (/.f64 -1728/707281 x) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)))) 1) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(/.f64 -108/841 (/.f64 x (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(/.f64 -108/841 (/.f64 (*.f64 x (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) |
(/.f64 -108/841 (/.f64 (*.f64 x (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))) (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))) |
(/.f64 (/.f64 -108/841 x) (/.f64 1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) 1) |
(/.f64 1 (/.f64 x (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841))) |
(/.f64 1 (/.f64 (*.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108)) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x -841/108) (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))) (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))) |
(/.f64 1 (*.f64 (*.f64 x -841/108) (/.f64 1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 (*.f64 x -841/108) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 x (*.f64 -108/841 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))))) |
(/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 (*.f64 x -841/108) (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (/.f64 (*.f64 x -841/108) (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (/.f64 x (*.f64 -108/841 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))))) |
(/.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841) x) |
(/.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841) (/.f64 x 1)) |
(/.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841) (neg.f64 (neg.f64 x))) |
(/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108))) |
(/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 (*.f64 x -841/108) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))) |
(/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 (*.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108)) 1)) |
(/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (*.f64 (*.f64 x -841/108) (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729)))) |
(/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 (*.f64 x -841/108) (/.f64 1 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))))) |
(/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 (*.f64 (*.f64 x -841/108) (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))) 1)) |
(/.f64 108/841 (/.f64 (neg.f64 x) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(/.f64 108/841 (/.f64 (*.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (neg.f64 x)) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) |
(/.f64 108/841 (/.f64 (*.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729)) (neg.f64 x)) (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))) |
(/.f64 (sqrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (/.f64 (*.f64 (*.f64 x -841/108) (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))) (sqrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) (/.f64 x (sqrt.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)))) |
(/.f64 (sqrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 (*.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108)) (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 (*.f64 x -841/108) (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))) (cbrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) (cbrt.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841))) (/.f64 x (cbrt.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)))) |
(/.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 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108)) (cbrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))))) |
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(/.f64 (/.f64 (*.f64 (/.f64 -108/841 x) (-.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 (/.f64 -108/841 x) (-.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 (/.f64 -108/841 x) (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) 1) (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))) |
(/.f64 (/.f64 (*.f64 (/.f64 -108/841 x) (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (sqrt.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729)))) (sqrt.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729)))) |
(/.f64 (/.f64 (*.f64 (/.f64 -108/841 x) (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (*.f64 (cbrt.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))) (cbrt.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))))) (cbrt.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729)))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (sqrt.f64 x) -108/841)) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (sqrt.f64 x) -108/841)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (sqrt.f64 x) -108/841)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (sqrt.f64 x) -108/841)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) -108/841)) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) -108/841)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) -108/841)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) -108/841)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) -108/841)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) 1) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) -1) x) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(pow.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 -108/841 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 3) (pow.f64 (/.f64 -108/841 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)))) |
(exp.f64 (log.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -108/841 x))) 1) |
(*.f64 -108/841 (/.f64 1 x)) |
(*.f64 (/.f64 -108/841 x) 1) |
(*.f64 1 (/.f64 -108/841 x)) |
(*.f64 (sqrt.f64 (/.f64 -108/841 x)) (sqrt.f64 (/.f64 -108/841 x))) |
(*.f64 (cbrt.f64 (/.f64 -108/841 x)) (pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 2) (cbrt.f64 (/.f64 -108/841 x))) |
(*.f64 (/.f64 1 x) -108/841) |
(*.f64 108/841 (/.f64 -1 x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -108/841 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 -108/841 (cbrt.f64 x))) |
(*.f64 (/.f64 -1 x) 108/841) |
(pow.f64 (/.f64 -108/841 x) 1) |
(pow.f64 (sqrt.f64 (/.f64 -108/841 x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 3) |
(pow.f64 (pow.f64 (/.f64 -108/841 x) 3) 1/3) |
(pow.f64 (*.f64 x -841/108) -1) |
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 -108/841 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -108/841 x)))) |
(cbrt.f64 (pow.f64 (/.f64 -108/841 x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -108/841 x))) |
(exp.f64 (log.f64 (/.f64 -108/841 x))) |
(log1p.f64 (expm1.f64 (/.f64 -108/841 x))) |
| Outputs |
|---|
(/.f64 -1728/707281 x) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x)) |
(fma.f64 841/108 x (/.f64 -1728/707281 x)) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x)) |
(fma.f64 841/108 x (/.f64 -1728/707281 x)) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x)) |
(fma.f64 841/108 x (/.f64 -1728/707281 x)) |
(*.f64 841/108 x) |
(*.f64 x 841/108) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x)) |
(fma.f64 841/108 x (/.f64 -1728/707281 x)) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x)) |
(fma.f64 841/108 x (/.f64 -1728/707281 x)) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x)) |
(fma.f64 841/108 x (/.f64 -1728/707281 x)) |
(*.f64 841/108 x) |
(*.f64 x 841/108) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x)) |
(fma.f64 841/108 x (/.f64 -1728/707281 x)) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x)) |
(fma.f64 841/108 x (/.f64 -1728/707281 x)) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x)) |
(fma.f64 841/108 x (/.f64 -1728/707281 x)) |
(+.f64 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)) (/.f64 -1728/707281 x)) |
(fma.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x) (/.f64 -1728/707281 x)) |
(+.f64 (/.f64 -1728/707281 x) (/.f64 (*.f64 (*.f64 x x) 841/108) x)) |
(+.f64 (/.f64 -1728/707281 x) (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x))) |
(fma.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x) (/.f64 -1728/707281 x)) |
(+.f64 (/.f64 -1728/707281 x) (/.f64 (*.f64 (*.f64 x x) 841/108) x)) |
(+.f64 (*.f64 1 (/.f64 -1728/707281 x)) (*.f64 1 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)))) |
(fma.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x) (/.f64 -1728/707281 x)) |
(+.f64 (/.f64 -1728/707281 x) (/.f64 (*.f64 (*.f64 x x) 841/108) x)) |
(+.f64 (*.f64 1 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x))) (*.f64 1 (/.f64 -1728/707281 x))) |
(fma.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x) (/.f64 -1728/707281 x)) |
(+.f64 (/.f64 -1728/707281 x) (/.f64 (*.f64 (*.f64 x x) 841/108) x)) |
(+.f64 (*.f64 (/.f64 -1728/707281 x) 1) (*.f64 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)) 1)) |
(fma.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x) (/.f64 -1728/707281 x)) |
(+.f64 (/.f64 -1728/707281 x) (/.f64 (*.f64 (*.f64 x x) 841/108) x)) |
(+.f64 (*.f64 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x)) 1) (*.f64 (/.f64 -1728/707281 x) 1)) |
(fma.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x) (/.f64 -1728/707281 x)) |
(+.f64 (/.f64 -1728/707281 x) (/.f64 (*.f64 (*.f64 x x) 841/108) x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)))) 1) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(/.f64 -108/841 (/.f64 x (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(/.f64 -108/841 (/.f64 (*.f64 x (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) |
(*.f64 (/.f64 -108/841 (*.f64 x (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) |
(/.f64 (/.f64 -108/841 x) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) -16/841) (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281))) |
(/.f64 -108/841 (/.f64 (*.f64 x (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))) (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))) |
(*.f64 (/.f64 -108/841 (*.f64 x (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 x (*.f64 x -841/729)))))) (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) |
(/.f64 (/.f64 (+.f64 -442368/500246412961 (*.f64 (pow.f64 x 6) 420707233300201/14693280768)) x) (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 x (*.f64 x -841/729))))) |
(/.f64 (/.f64 -108/841 x) (/.f64 1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(/.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) 1) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(/.f64 1 (/.f64 x (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841))) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(/.f64 1 (/.f64 (*.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108)) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) |
(*.f64 (/.f64 -108/841 (*.f64 x (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) |
(/.f64 (/.f64 -108/841 x) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) -16/841) (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281))) |
(/.f64 1 (/.f64 (*.f64 (*.f64 x -841/108) (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))) (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))) |
(*.f64 (/.f64 -108/841 (*.f64 x (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 x (*.f64 x -841/729)))))) (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) |
(/.f64 (/.f64 (+.f64 -442368/500246412961 (*.f64 (pow.f64 x 6) 420707233300201/14693280768)) x) (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 x (*.f64 x -841/729))))) |
(/.f64 1 (*.f64 (*.f64 x -841/108) (/.f64 1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 (*.f64 x -841/108) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) (*.f64 x -841/108)) (sqrt.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x -707281/11664)) 16/841)) (*.f64 (/.f64 -108/841 x) (sqrt.f64 (+.f64 (*.f64 x (*.f64 x -707281/11664)) 16/841)))) |
(/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 x (*.f64 -108/841 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) (*.f64 x -841/108)) (sqrt.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x -707281/11664)) 16/841)) (*.f64 (/.f64 -108/841 x) (sqrt.f64 (+.f64 (*.f64 x (*.f64 x -707281/11664)) 16/841)))) |
(/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 (*.f64 x -841/108) (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2))) |
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(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (sqrt.f64 x) -108/841)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841) (/.f64 -108/841 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (sqrt.f64 x) -108/841)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841) (/.f64 -108/841 (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) -108/841)) 1) (cbrt.f64 x)) |
(/.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841) (/.f64 (cbrt.f64 x) (/.f64 -108/841 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) -108/841)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841) (/.f64 -108/841 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) -108/841)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841) (/.f64 -108/841 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))))) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) -108/841)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841) (/.f64 -108/841 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) -108/841)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841) (/.f64 -108/841 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) 1) (neg.f64 x)) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841) (/.f64 (sqrt.f64 x) (/.f64 -108/841 (sqrt.f64 x)))) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841) (/.f64 (cbrt.f64 x) (/.f64 -108/841 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841) 108/841) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841) 108/841) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))))) |
(/.f64 (neg.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) -1) x) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841) (/.f64 (sqrt.f64 x) (/.f64 -108/841 (sqrt.f64 x)))) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -108/841)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841) (/.f64 (cbrt.f64 x) (/.f64 -108/841 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) 1) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))) 2) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841))) 2) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))) 3) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(pow.f64 (pow.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) 3) 1/3) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) 2)) |
(log.f64 (pow.f64 (exp.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 -108/841 x))) |
(*.f64 (/.f64 -108/841 x) (log.f64 (exp.f64 (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)))) |
(*.f64 (/.f64 -108/841 x) (log.f64 (exp.f64 (+.f64 (*.f64 x (*.f64 x -707281/11664)) 16/841)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x))))) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) 3)) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 3) (pow.f64 (/.f64 -108/841 x) 3))) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)))) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(exp.f64 (log.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)))) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)))) |
(*.f64 (/.f64 -108/841 x) (+.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841)) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -108/841 x))) 1) |
(/.f64 -108/841 x) |
(*.f64 -108/841 (/.f64 1 x)) |
(/.f64 -108/841 x) |
(*.f64 (/.f64 -108/841 x) 1) |
(/.f64 -108/841 x) |
(*.f64 1 (/.f64 -108/841 x)) |
(/.f64 -108/841 x) |
(*.f64 (sqrt.f64 (/.f64 -108/841 x)) (sqrt.f64 (/.f64 -108/841 x))) |
(/.f64 -108/841 x) |
(*.f64 (cbrt.f64 (/.f64 -108/841 x)) (pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 2)) |
(/.f64 -108/841 x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 2) (cbrt.f64 (/.f64 -108/841 x))) |
(/.f64 -108/841 x) |
(*.f64 (/.f64 1 x) -108/841) |
(/.f64 -108/841 x) |
(*.f64 108/841 (/.f64 -1 x)) |
(/.f64 -108/841 x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -108/841 (sqrt.f64 x))) |
(*.f64 (/.f64 -108/841 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 -108/841 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 -108/841 (cbrt.f64 x))) |
(/.f64 (*.f64 1 (/.f64 -108/841 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 -108/841 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 -1 x) 108/841) |
(/.f64 -108/841 x) |
(pow.f64 (/.f64 -108/841 x) 1) |
(/.f64 -108/841 x) |
(pow.f64 (sqrt.f64 (/.f64 -108/841 x)) 2) |
(/.f64 -108/841 x) |
(pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 3) |
(/.f64 -108/841 x) |
(pow.f64 (pow.f64 (/.f64 -108/841 x) 3) 1/3) |
(/.f64 -108/841 x) |
(pow.f64 (*.f64 x -841/108) -1) |
(/.f64 -108/841 x) |
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x))) |
(sqrt.f64 (/.f64 (/.f64 11664/707281 x) x)) |
(log.f64 (exp.f64 (/.f64 -108/841 x))) |
(/.f64 -108/841 x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -108/841 x)))) |
(/.f64 -108/841 x) |
(cbrt.f64 (pow.f64 (/.f64 -108/841 x) 3)) |
(/.f64 -108/841 x) |
(expm1.f64 (log1p.f64 (/.f64 -108/841 x))) |
(/.f64 -108/841 x) |
(exp.f64 (log.f64 (/.f64 -108/841 x))) |
(/.f64 -108/841 x) |
(log1p.f64 (expm1.f64 (/.f64 -108/841 x))) |
(/.f64 -108/841 x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 x (*.f64 x -707281/11664)) |
| ✓ | 0.1b | (*.f64 x -841/108) |
| ✓ | 0.2b | (*.f64 x -707281/11664) |
| ✓ | 16.7b | (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
Compiled 42 to 31 computations (26.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
| 0.0ms | x | @ | 0 | (*.f64 x -707281/11664) |
| 0.0ms | x | @ | -inf | (*.f64 x -707281/11664) |
| 1× | batch-egg-rewrite |
| 1772× | associate-*l/ |
| 1728× | associate-/l* |
| 1568× | associate-/r* |
| 306× | add-sqr-sqrt |
| 290× | add-exp-log |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 64 |
| 1 | 301 | 64 |
| 2 | 4060 | 52 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(*.f64 x -707281/11664) |
(*.f64 x -841/108) |
(*.f64 x (*.f64 x -707281/11664)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -16/841 (-.f64 -4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 (/.f64 x -11664/707281) (/.f64 x (-.f64 -4/29 (*.f64 x -841/108))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 x -11664/707281) (/.f64 x (-.f64 -4/29 (*.f64 x -841/108))))) (/.f64 -16/841 (-.f64 -4/29 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -16/841 (-.f64 -4/29 (*.f64 x -841/108))) (*.f64 (/.f64 x -11664/707281) (/.f64 x (-.f64 -4/29 (*.f64 x -841/108)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) 1)))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -707281/11664)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -707281/11664)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -707281/11664) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -707281/11664))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -707281/11664)))))))) |
| 1× | egg-herbie |
| 852× | distribute-lft-in |
| 838× | associate-/l* |
| 824× | distribute-rgt-in |
| 766× | unswap-sqr |
| 662× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 2390 |
| 1 | 502 | 2238 |
| 2 | 1942 | 2226 |
| 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 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) |
(*.f64 -707281/11664 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) |
(*.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)) |
(+.f64 (/.f64 -16/841 (-.f64 -4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 (/.f64 x -11664/707281) (/.f64 x (-.f64 -4/29 (*.f64 x -841/108)))))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x -11664/707281) (/.f64 x (-.f64 -4/29 (*.f64 x -841/108))))) (/.f64 -16/841 (-.f64 -4/29 (*.f64 x -841/108)))) |
(-.f64 (/.f64 -16/841 (-.f64 -4/29 (*.f64 x -841/108))) (*.f64 (/.f64 x -11664/707281) (/.f64 x (-.f64 -4/29 (*.f64 x -841/108))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))))) 1) |
(*.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))) |
(*.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) 1) |
(*.f64 1 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108)))) |
(*.f64 (sqrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (*.f64 (sqrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108)))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) 2) (*.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))))) |
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) 2)) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) 2) (/.f64 1 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108)))))) |
(*.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))) (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) |
(*.f64 (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))) (/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -4/29 (*.f64 x -841/108)))) (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (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 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108))))) |
(*.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664)))) (+.f64 -4/29 (*.f64 x -841/108))) |
(*.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -64/24389 (pow.f64 (*.f64 x -841/108) 3))) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) 1) (/.f64 (sqrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (-.f64 -4/29 (*.f64 x -841/108)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (pow.f64 (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108))) 2)) (/.f64 (sqrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (-.f64 -4/29 (*.f64 x -841/108)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) 2) (sqrt.f64 (-.f64 -4/29 (*.f64 x -841/108)))) (/.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (sqrt.f64 (-.f64 -4/29 (*.f64 x -841/108))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) 2) (pow.f64 (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108))) 2)) (/.f64 1 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108)))))) |
(pow.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) 1) |
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) 3) 1/3) |
(pow.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))) -1) |
(neg.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (+.f64 4/29 (*.f64 x -841/108)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))))) |
(exp.f64 (neg.f64 (log.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108)))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -707281/11664))) 1) |
(pow.f64 (*.f64 x -707281/11664) 1) |
(pow.f64 (sqrt.f64 (*.f64 x -707281/11664)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x -707281/11664)) 3) |
(pow.f64 (pow.f64 (*.f64 x -707281/11664) 3) 1/3) |
(sqrt.f64 (*.f64 500246412961/136048896 (*.f64 x x))) |
(log.f64 (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))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 1) |
(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 (pow.f64 (*.f64 x -841/108) 3) 1/3) |
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) |
(log.f64 (pow.f64 (exp.f64 -841/108) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -841/108)))) |
(cbrt.f64 (pow.f64 (*.f64 x -841/108) 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))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -707281/11664)))) 1) |
(pow.f64 (*.f64 x (*.f64 x -707281/11664)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 3) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 -707281/11664) x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -707281/11664))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -707281/11664)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x -707281/11664)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -707281/11664))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -707281/11664)))) |
| 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 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(*.f64 -841/108 x) |
(*.f64 x -841/108) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -707281/11664)) |
(*.f64 -707281/11664 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -707281/11664)) |
(+.f64 (/.f64 -16/841 (-.f64 -4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 (/.f64 x -11664/707281) (/.f64 x (-.f64 -4/29 (*.f64 x -841/108)))))) |
(-.f64 (/.f64 -16/841 (-.f64 -4/29 (*.f64 x -841/108))) (*.f64 (/.f64 x -11664/707281) (/.f64 x (-.f64 -4/29 (*.f64 x -841/108))))) |
(-.f64 (/.f64 -16/841 (+.f64 -4/29 (*.f64 841/108 x))) (*.f64 (/.f64 x -11664/707281) (/.f64 x (+.f64 -4/29 (*.f64 841/108 x))))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x -11664/707281) (/.f64 x (-.f64 -4/29 (*.f64 x -841/108))))) (/.f64 -16/841 (-.f64 -4/29 (*.f64 x -841/108)))) |
(-.f64 (/.f64 -16/841 (-.f64 -4/29 (*.f64 x -841/108))) (*.f64 (/.f64 x -11664/707281) (/.f64 x (-.f64 -4/29 (*.f64 x -841/108))))) |
(-.f64 (/.f64 -16/841 (+.f64 -4/29 (*.f64 841/108 x))) (*.f64 (/.f64 x -11664/707281) (/.f64 x (+.f64 -4/29 (*.f64 841/108 x))))) |
(-.f64 (/.f64 -16/841 (-.f64 -4/29 (*.f64 x -841/108))) (*.f64 (/.f64 x -11664/707281) (/.f64 x (-.f64 -4/29 (*.f64 x -841/108))))) |
(-.f64 (/.f64 -16/841 (+.f64 -4/29 (*.f64 841/108 x))) (*.f64 (/.f64 x -11664/707281) (/.f64 x (+.f64 -4/29 (*.f64 841/108 x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))))) 1) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) 1) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 1 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108)))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (sqrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (*.f64 (sqrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108)))))) |
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) 2) |
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (fma.f64 x -841/108 -4/29)))) 2) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) 2) (*.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) 2)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) 2) (/.f64 1 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108)))))) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(*.f64 (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))) (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))) (/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x -707281/11664)) 16/841) (/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))) |
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29)) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -4/29 (*.f64 x -841/108)))) (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (sqrt.f64 (-.f64 -4/29 (*.f64 x -841/108))))) |
(/.f64 (/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (sqrt.f64 (+.f64 -4/29 (*.f64 841/108 x)))) (sqrt.f64 (+.f64 -4/29 (*.f64 841/108 x)))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (*.f64 (sqrt.f64 (+.f64 -4/29 (*.f64 841/108 x))) (sqrt.f64 (+.f64 -4/29 (*.f64 841/108 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108))) 2)) (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108))))) |
(/.f64 (/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (cbrt.f64 (+.f64 -4/29 (*.f64 841/108 x)))) (pow.f64 (cbrt.f64 (+.f64 -4/29 (*.f64 841/108 x))) 2)) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (*.f64 (cbrt.f64 (+.f64 -4/29 (*.f64 841/108 x))) (pow.f64 (cbrt.f64 (+.f64 -4/29 (*.f64 841/108 x))) 2))) |
(*.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664)))) (+.f64 -4/29 (*.f64 x -841/108))) |
(*.f64 (+.f64 -4/29 (*.f64 x -841/108)) (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (+.f64 (*.f64 x (*.f64 x -707281/11664)) 16/841))) |
(*.f64 (fma.f64 x -841/108 -4/29) (/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (fma.f64 x (*.f64 x -707281/11664) 16/841))) |
(*.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (/.f64 (fma.f64 x -841/108 -4/29) (fma.f64 x (*.f64 x -707281/11664) 16/841))) |
(*.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -64/24389 (pow.f64 (*.f64 x -841/108) 3))) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))) |
(*.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) (+.f64 16/841 (fma.f64 707281/11664 (*.f64 x x) (*.f64 x 29/27)))) |
(*.f64 (/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) 29/27)))) |
(*.f64 (/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (*.f64 x (+.f64 29/27 (*.f64 x 707281/11664))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) 1) (/.f64 (sqrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (-.f64 -4/29 (*.f64 x -841/108)))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (pow.f64 (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108))) 2)) (/.f64 (sqrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108))) 2)) (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108))))) |
(/.f64 (/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (cbrt.f64 (+.f64 -4/29 (*.f64 841/108 x)))) (pow.f64 (cbrt.f64 (+.f64 -4/29 (*.f64 841/108 x))) 2)) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (*.f64 (cbrt.f64 (+.f64 -4/29 (*.f64 841/108 x))) (pow.f64 (cbrt.f64 (+.f64 -4/29 (*.f64 841/108 x))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (-.f64 -4/29 (*.f64 x -841/108)))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) 2) (sqrt.f64 (-.f64 -4/29 (*.f64 x -841/108)))) (/.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (sqrt.f64 (-.f64 -4/29 (*.f64 x -841/108))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -4/29 (*.f64 x -841/108)))) (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (sqrt.f64 (-.f64 -4/29 (*.f64 x -841/108))))) |
(/.f64 (/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (sqrt.f64 (+.f64 -4/29 (*.f64 841/108 x)))) (sqrt.f64 (+.f64 -4/29 (*.f64 841/108 x)))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (*.f64 (sqrt.f64 (+.f64 -4/29 (*.f64 841/108 x))) (sqrt.f64 (+.f64 -4/29 (*.f64 841/108 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) 2) (pow.f64 (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108))) 2)) (/.f64 1 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108)))))) |
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) 2) (pow.f64 (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108))) 2))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 -4/29 (*.f64 841/108 x))) 2)) (cbrt.f64 (/.f64 -1 (fma.f64 x -841/108 -4/29)))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664)))) 2) (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x -841/108 -4/29))) (pow.f64 (cbrt.f64 (+.f64 -4/29 (*.f64 841/108 x))) 2))) |
(pow.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) 1) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) 2) |
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (fma.f64 x -841/108 -4/29)))) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) 3) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) 3) 1/3) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(pow.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))) -1) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(neg.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (+.f64 4/29 (*.f64 x -841/108)))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x -707281/11664)) 16/841) (/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))) |
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) 2)) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(log.f64 (exp.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108)))))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) 3)) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(exp.f64 (neg.f64 (log.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108)))))) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) 1)) |
(+.f64 4/29 (*.f64 841/108 x)) |
(fma.f64 841/108 x 4/29) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(/.f64 (+.f64 -16/841 (pow.f64 (*.f64 x -841/108) 2)) (+.f64 -4/29 (*.f64 841/108 x))) |
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x))) |
(-.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 (sqrt.f64 (*.f64 x -707281/11664)) 2) |
(*.f64 x -707281/11664) |
(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) |
(sqrt.f64 (*.f64 500246412961/136048896 (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 x x) 500246412961/136048896)) |
(sqrt.f64 (*.f64 x (*.f64 x 500246412961/136048896))) |
(fabs.f64 (*.f64 x -707281/11664)) |
(log.f64 (pow.f64 (exp.f64 -707281/11664) x)) |
(*.f64 x -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) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 1) |
(*.f64 x -841/108) |
(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 (pow.f64 (*.f64 x -841/108) 3) 1/3) |
(*.f64 x -841/108) |
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 707281/11664 x) x)) |
(sqrt.f64 (pow.f64 (*.f64 x -841/108) 2)) |
(fabs.f64 (*.f64 x -841/108)) |
(log.f64 (pow.f64 (exp.f64 -841/108) x)) |
(*.f64 x -841/108) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -841/108)))) |
(*.f64 x -841/108) |
(cbrt.f64 (pow.f64 (*.f64 x -841/108) 3)) |
(*.f64 x -841/108) |
(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) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -707281/11664)))) 1) |
(*.f64 x (*.f64 x -707281/11664)) |
(pow.f64 (*.f64 x (*.f64 x -707281/11664)) 1) |
(*.f64 x (*.f64 x -707281/11664)) |
(pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2) |
(*.f64 x (*.f64 x -707281/11664)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 3) |
(*.f64 x (*.f64 x -707281/11664)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) -353814783205469041/1586874322944)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 2)) |
(*.f64 x (*.f64 x -707281/11664)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 -707281/11664) x) x)) |
(*.f64 x (*.f64 x -707281/11664)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -707281/11664))))) |
(*.f64 x (*.f64 x -707281/11664)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) -353814783205469041/1586874322944)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -707281/11664)))) |
(*.f64 x (*.f64 x -707281/11664)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x -707281/11664)))) |
(*.f64 x (*.f64 x -707281/11664)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -707281/11664))) 1)) |
(*.f64 x (*.f64 x -707281/11664)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -707281/11664)))) |
(*.f64 x (*.f64 x -707281/11664)) |
Compiled 25073 to 19069 computations (23.9% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1086 | 4 | 1090 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1089 | 9 | 1098 |
| Status | Error | Program |
|---|---|---|
| ▶ | 47.7b | (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108) |
| ✓ | 17.9b | (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
| ▶ | 47.7b | (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
| ✓ | 29.8b | (/.f64 1 (/.f64 108/841 x)) |
| ▶ | 0.7b | (-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
| ▶ | 1.5b | (-.f64 4/29 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x)) |
| ✓ | 0.1b | (+.f64 4/29 (*.f64 841/108 x)) |
| ✓ | 29.7b | (*.f64 841/108 x) |
| 33.1b | 4/29 |
Compiled 88 to 69 computations (21.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 -841/108 x) | |
| 0.1b | (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x) | |
| 0.2b | (*.f64 707281/11664 x) | |
| 0.6b | (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) |
Compiled 49 to 37 computations (24.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x) |
| 0.3b | (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) | |
| ✓ | 0.4b | (/.f64 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) |
| ✓ | 0.7b | (/.f64 x 11664/707281) |
Compiled 61 to 47 computations (23% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) |
| 1× | batch-egg-rewrite |
| 1598× | associate-/r/ |
| 1320× | associate-/l/ |
| 508× | distribute-rgt-in |
| 486× | distribute-lft-in |
| 480× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 57 |
| 1 | 256 | 49 |
| 2 | 3552 | 49 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x 11664/707281) |
(/.f64 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) |
(/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1010× | associate-*l* |
| 882× | associate-*r* |
| 824× | associate-/l* |
| 824× | *-commutative |
| 696× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 498 | 5847 |
| 1 | 1476 | 5069 |
| 2 | 7604 | 5069 |
| 1× | node limit |
| Inputs |
|---|
(*.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) |
(*.f64 707281/11664 x) |
(*.f64 707281/11664 x) |
(*.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 4/29 x) |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
-841/108 |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
-841/108 |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x 11664/707281))) 1) |
(*.f64 x 707281/11664) |
(*.f64 (/.f64 x 11664/707281) 1) |
(*.f64 1 (/.f64 x 11664/707281)) |
(*.f64 (*.f64 (sqrt.f64 x) 841/108) (*.f64 (sqrt.f64 x) 841/108)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 707281/11664)) |
(*.f64 (cbrt.f64 (/.f64 x 11664/707281)) (pow.f64 (cbrt.f64 (/.f64 x 11664/707281)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x 11664/707281)) 2) (cbrt.f64 (/.f64 x 11664/707281))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 707281/11664)) |
(*.f64 707281/11664 x) |
(*.f64 707281/11664 (/.f64 x 1)) |
(*.f64 (neg.f64 x) -707281/11664) |
(*.f64 -1 (*.f64 x -707281/11664)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) 841/108) (*.f64 (neg.f64 (sqrt.f64 x)) 841/108)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x 11664/707281)) 2)) (neg.f64 (cbrt.f64 (/.f64 x 11664/707281)))) |
(*.f64 -707281/11664 (neg.f64 x)) |
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(*.f64 (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 1) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) x) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) 2))) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2))) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) x) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 x)) (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (+.f64 4/29 (*.f64 -841/108 x))) |
(*.f64 (/.f64 (*.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 x)) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 (/.f64 (*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)) (/.f64 1 x)) (-.f64 256/707281 (*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (+.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 -29/27 x))) |
(*.f64 (/.f64 (*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)) (/.f64 1 x)) (+.f64 4096/594823321 (pow.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)) 3))) (+.f64 256/707281 (*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)) (-.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)) 16/841)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (neg.f64 x)))) (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (neg.f64 x)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (neg.f64 x))) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (neg.f64 x))))) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (neg.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)))) (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) 2))) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(pow.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x) 3) 1/3) |
(pow.f64 (/.f64 x (+.f64 4/29 (*.f64 -841/108 x))) -1) |
(neg.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4/29 (*.f64 -841/108 x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(exp.f64 (log.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
| Outputs |
|---|
(*.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) |
(*.f64 707281/11664 x) |
(*.f64 707281/11664 x) |
(*.f64 20511149/46656 (pow.f64 x 2)) |
(*.f64 20511149/46656 (*.f64 x x)) |
(*.f64 x (*.f64 x 20511149/46656)) |
(+.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))))) |
(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 -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 -841/108 x -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 -841/108 x -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 -841/108 x) |
(*.f64 x -841/108) |
(-.f64 (*.f64 -841/108 x) 4/29) |
(fma.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 -841/108 x -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 -841/108 x -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 4/29 x) |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
-841/108 |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
-841/108 |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(-.f64 (*.f64 4/29 (/.f64 1 x)) 841/108) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x 11664/707281))) 1) |
(*.f64 707281/11664 x) |
(*.f64 x 707281/11664) |
(*.f64 707281/11664 x) |
(*.f64 (/.f64 x 11664/707281) 1) |
(*.f64 707281/11664 x) |
(*.f64 1 (/.f64 x 11664/707281)) |
(*.f64 707281/11664 x) |
(*.f64 (*.f64 (sqrt.f64 x) 841/108) (*.f64 (sqrt.f64 x) 841/108)) |
(*.f64 707281/11664 x) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 707281/11664)) |
(*.f64 707281/11664 x) |
(*.f64 (cbrt.f64 (/.f64 x 11664/707281)) (pow.f64 (cbrt.f64 (/.f64 x 11664/707281)) 2)) |
(*.f64 707281/11664 x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x 11664/707281)) 2) (cbrt.f64 (/.f64 x 11664/707281))) |
(*.f64 707281/11664 x) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 707281/11664)) |
(*.f64 707281/11664 x) |
(*.f64 707281/11664 x) |
(*.f64 707281/11664 (/.f64 x 1)) |
(*.f64 707281/11664 x) |
(*.f64 (neg.f64 x) -707281/11664) |
(*.f64 707281/11664 x) |
(*.f64 -1 (*.f64 x -707281/11664)) |
(*.f64 707281/11664 x) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) 841/108) (*.f64 (neg.f64 (sqrt.f64 x)) 841/108)) |
(*.f64 707281/11664 x) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x 11664/707281)) 2)) (neg.f64 (cbrt.f64 (/.f64 x 11664/707281)))) |
(*.f64 707281/11664 x) |
(*.f64 -707281/11664 (neg.f64 x)) |
(*.f64 707281/11664 x) |
(*.f64 (/.f64 (sqrt.f64 x) 11664/707281) (sqrt.f64 x)) |
(*.f64 707281/11664 x) |
(*.f64 (/.f64 1 (/.f64 11664/707281 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 707281/11664 x) |
(*.f64 (/.f64 1 (/.f64 11664/707281 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 707281/11664 x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 11664/707281) (cbrt.f64 x)) |
(*.f64 707281/11664 x) |
(*.f64 (/.f64 707281/11664 (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 707281/11664 x) |
(*.f64 (/.f64 707281/11664 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 707281/11664 x) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x -707281/11664))) (sqrt.f64 (*.f64 x -707281/11664))) |
(*.f64 707281/11664 x) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 x -707281/11664)) (cbrt.f64 (*.f64 x -707281/11664)))) (cbrt.f64 (*.f64 x -707281/11664))) |
(*.f64 707281/11664 x) |
(*.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) 841/108)) (*.f64 (sqrt.f64 x) 841/108)) |
(*.f64 707281/11664 x) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x 11664/707281)) 2))) (cbrt.f64 (/.f64 x 11664/707281))) |
(*.f64 707281/11664 x) |
(pow.f64 (/.f64 x 11664/707281) 1) |
(*.f64 707281/11664 x) |
(pow.f64 (*.f64 (sqrt.f64 x) 841/108) 2) |
(*.f64 707281/11664 x) |
(pow.f64 (cbrt.f64 (/.f64 x 11664/707281)) 3) |
(*.f64 707281/11664 x) |
(pow.f64 (pow.f64 (/.f64 x 11664/707281) 3) 1/3) |
(*.f64 707281/11664 x) |
(pow.f64 (/.f64 11664/707281 x) -1) |
(*.f64 707281/11664 x) |
(neg.f64 (*.f64 x -707281/11664)) |
(*.f64 707281/11664 x) |
(sqrt.f64 (*.f64 (*.f64 x x) 500246412961/136048896)) |
(log.f64 (pow.f64 (exp.f64 x) 707281/11664)) |
(*.f64 707281/11664 x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x 11664/707281)))) |
(*.f64 707281/11664 x) |
(cbrt.f64 (pow.f64 (/.f64 x 11664/707281) 3)) |
(*.f64 707281/11664 x) |
(expm1.f64 (log1p.f64 (/.f64 x 11664/707281))) |
(*.f64 707281/11664 x) |
(exp.f64 (log.f64 (/.f64 x 11664/707281))) |
(*.f64 707281/11664 x) |
(exp.f64 (*.f64 (log.f64 (/.f64 x 11664/707281)) 1)) |
(*.f64 707281/11664 x) |
(log1p.f64 (expm1.f64 (/.f64 x 11664/707281))) |
(*.f64 707281/11664 x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)))) 1) |
(*.f64 (/.f64 (/.f64 x 11664/707281) (+.f64 (*.f64 x -841/108) 4/29)) x) |
(/.f64 707281/11664 (/.f64 (+.f64 -841/108 (/.f64 4/29 x)) x)) |
(*.f64 x (*.f64 707281/11664 (/.f64 x (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 (/.f64 (/.f64 x 11664/707281) (+.f64 (*.f64 x -841/108) 4/29)) x) |
(/.f64 707281/11664 (/.f64 (+.f64 -841/108 (/.f64 4/29 x)) x)) |
(*.f64 (/.f64 x 11664/707281) (/.f64 x (+.f64 4/29 (*.f64 -841/108 x)))) |
(*.f64 (/.f64 (/.f64 x 11664/707281) (+.f64 (*.f64 x -841/108) 4/29)) x) |
(/.f64 707281/11664 (/.f64 (+.f64 -841/108 (/.f64 4/29 x)) x)) |
(*.f64 (/.f64 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) 1) |
(*.f64 (/.f64 (/.f64 x 11664/707281) (+.f64 (*.f64 x -841/108) 4/29)) x) |
(/.f64 707281/11664 (/.f64 (+.f64 -841/108 (/.f64 4/29 x)) x)) |
(*.f64 1 (/.f64 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(*.f64 (/.f64 (/.f64 x 11664/707281) (+.f64 (*.f64 x -841/108) 4/29)) x) |
(/.f64 707281/11664 (/.f64 (+.f64 -841/108 (/.f64 4/29 x)) x)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) (sqrt.f64 (/.f64 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)))) |
(*.f64 (/.f64 (/.f64 x 11664/707281) (+.f64 (*.f64 x -841/108) 4/29)) x) |
(/.f64 707281/11664 (/.f64 (+.f64 -841/108 (/.f64 4/29 x)) x)) |
(*.f64 (*.f64 (sqrt.f64 x) 841/108) (*.f64 (*.f64 (sqrt.f64 x) 841/108) (/.f64 x (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 (/.f64 (/.f64 x 11664/707281) (+.f64 (*.f64 x -841/108) 4/29)) x) |
(/.f64 707281/11664 (/.f64 (+.f64 -841/108 (/.f64 4/29 x)) x)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) 2)) |
(*.f64 (/.f64 (/.f64 x 11664/707281) (+.f64 (*.f64 x -841/108) 4/29)) x) |
(/.f64 707281/11664 (/.f64 (+.f64 -841/108 (/.f64 4/29 x)) x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) 2) (cbrt.f64 (/.f64 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)))) |
(*.f64 (/.f64 (/.f64 x 11664/707281) (+.f64 (*.f64 x -841/108) 4/29)) x) |
(/.f64 707281/11664 (/.f64 (+.f64 -841/108 (/.f64 4/29 x)) x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x 11664/707281)) 2) (*.f64 (cbrt.f64 (/.f64 x 11664/707281)) (/.f64 x (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 (/.f64 (/.f64 x 11664/707281) (+.f64 (*.f64 x -841/108) 4/29)) x) |
(/.f64 707281/11664 (/.f64 (+.f64 -841/108 (/.f64 4/29 x)) x)) |
(*.f64 (*.f64 707281/11664 (/.f64 x (+.f64 4/29 (*.f64 -841/108 x)))) x) |
(*.f64 (/.f64 (/.f64 x 11664/707281) (+.f64 (*.f64 x -841/108) 4/29)) x) |
(/.f64 707281/11664 (/.f64 (+.f64 -841/108 (/.f64 4/29 x)) x)) |
(*.f64 (/.f64 x (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 x 11664/707281)) |
(*.f64 (/.f64 (/.f64 x 11664/707281) (+.f64 (*.f64 x -841/108) 4/29)) x) |
(/.f64 707281/11664 (/.f64 (+.f64 -841/108 (/.f64 4/29 x)) x)) |
(*.f64 (*.f64 x -707281/11664) (neg.f64 (/.f64 x (+.f64 4/29 (*.f64 -841/108 x))))) |
(*.f64 (/.f64 (/.f64 x 11664/707281) (+.f64 (*.f64 x -841/108) 4/29)) x) |
(/.f64 707281/11664 (/.f64 (+.f64 -841/108 (/.f64 4/29 x)) x)) |
(*.f64 (*.f64 (*.f64 707281/11664 (/.f64 x (+.f64 4/29 (*.f64 -841/108 x)))) 1) x) |
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(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (*.f64 x -841/108) 4/29) (sqrt.f64 x))) |
(/.f64 (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x -841/108) 4/29) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x -841/108) 4/29)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (+.f64 -841/108 (/.f64 4/29 x))))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) 2))) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x))))) (sqrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2))) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x))) 2) x) (cbrt.f64 (+.f64 4/29 (*.f64 -841/108 x)))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(*.f64 (/.f64 (*.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 x)) (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (+.f64 4/29 (*.f64 -841/108 x))) |
(/.f64 (*.f64 (/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) x) (+.f64 (*.f64 x -841/108) 4/29)) (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 -841/108 (/.f64 4/29 x))) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 x)) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 -841/108 x))))) |
(/.f64 (*.f64 (/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) x) (+.f64 16/841 (*.f64 (*.f64 x -841/108) (+.f64 (*.f64 x -841/108) 4/29)))) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) |
(/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) (/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (fma.f64 -841/108 (*.f64 x (fma.f64 x -841/108 4/29)) 16/841))) |
(*.f64 (/.f64 (*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)) (/.f64 1 x)) (-.f64 256/707281 (*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (+.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 -29/27 x))) |
(*.f64 (/.f64 (/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)) x) (-.f64 256/707281 (*.f64 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27)) (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))))) (+.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x -29/27))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (*.f64 (-.f64 256/707281 (*.f64 (*.f64 x (+.f64 (*.f64 707281/11664 x) 29/27)) (*.f64 x (+.f64 (*.f64 707281/11664 x) 29/27)))) x)) (-.f64 16/841 (*.f64 x (+.f64 (*.f64 707281/11664 x) 29/27)))) |
(*.f64 (/.f64 (*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)) (/.f64 1 x)) (+.f64 4096/594823321 (pow.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)) 3))) (+.f64 256/707281 (*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)) (-.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)) 16/841)))) |
(*.f64 (/.f64 (/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)) x) (+.f64 4096/594823321 (pow.f64 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27)) 3))) (+.f64 256/707281 (*.f64 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27)) (+.f64 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27)) -16/841)))) |
(/.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) x) (fma.f64 (*.f64 x (+.f64 (*.f64 707281/11664 x) 29/27)) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x 29/27 -16/841)) 256/707281)) (+.f64 4096/594823321 (pow.f64 (*.f64 x (+.f64 (*.f64 707281/11664 x) 29/27)) 3))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (neg.f64 x)))) (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (neg.f64 x)))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (neg.f64 x))) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (neg.f64 x))))) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (neg.f64 x)))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)))) (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) 2))) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(pow.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x) 1) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) 2) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) 3) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x) 3) 1/3) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(pow.f64 (/.f64 x (+.f64 4/29 (*.f64 -841/108 x))) -1) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(neg.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (neg.f64 x))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x -841/108) 4/29) x) 2)) |
(fabs.f64 (+.f64 -841/108 (/.f64 4/29 x))) |
(log.f64 (exp.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x) 3)) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4/29 (*.f64 -841/108 x)) 3) (pow.f64 x 3))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(exp.f64 (log.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x)) 1)) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(+.f64 (/.f64 4/29 x) -841/108) |
(+.f64 -841/108 (/.f64 4/29 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) |
| ✓ | 0.1b | (*.f64 (*.f64 x x) 841/108) |
| ✓ | 16.8b | (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
Compiled 28 to 15 computations (46.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) 841/108) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) 841/108) |
| 1× | batch-egg-rewrite |
| 994× | associate-*r/ |
| 902× | *-commutative |
| 776× | associate-/r* |
| 738× | associate-*l/ |
| 628× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 57 |
| 1 | 200 | 49 |
| 2 | 2634 | 49 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(*.f64 (*.f64 x x) 841/108) |
(+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) -1728/707281) (*.f64 (/.f64 1 x) (*.f64 (*.f64 x x) 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (*.f64 (*.f64 x x) 841/108)) (*.f64 (/.f64 1 x) -1728/707281))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1728/707281 (/.f64 1 x)) (*.f64 (*.f64 (*.f64 x x) 841/108) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) 841/108) (/.f64 1 x)) (*.f64 -1728/707281 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) (/.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) (sqrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2) (/.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) 2) (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1728/707281 (*.f64 (*.f64 x x) -841/108)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) x) (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) x) (/.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) x) (pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (+.f64 1728/707281 (*.f64 (*.f64 x x) -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 841/108 -1728/707281)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 (*.f64 x x) -1728/707281)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 x x) 841/108) -1728/707281)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 841/108)) (*.f64 x (sqrt.f64 841/108)) -1728/707281)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 707281/11664)) (cbrt.f64 (*.f64 (*.f64 x x) 841/108)) -1728/707281))))) |
| 1× | egg-herbie |
| 964× | distribute-lft-neg-in |
| 752× | associate-*r* |
| 696× | associate-*l* |
| 526× | associate-+r+ |
| 442× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 399 | 6924 |
| 1 | 1070 | 6520 |
| 2 | 5704 | 6304 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1728/707281 x) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(*.f64 841/108 x) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(*.f64 841/108 x) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 841/108 (pow.f64 x 2)) |
-1728/707281 |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(*.f64 841/108 (pow.f64 x 2)) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(*.f64 841/108 (pow.f64 x 2)) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(+.f64 (*.f64 (/.f64 1 x) -1728/707281) (*.f64 (/.f64 1 x) (*.f64 (*.f64 x x) 841/108))) |
(+.f64 (*.f64 (/.f64 1 x) (*.f64 (*.f64 x x) 841/108)) (*.f64 (/.f64 1 x) -1728/707281)) |
(+.f64 (*.f64 -1728/707281 (/.f64 1 x)) (*.f64 (*.f64 (*.f64 x x) 841/108) (/.f64 1 x))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) 841/108) (/.f64 1 x)) (*.f64 -1728/707281 (/.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x))) 1) |
(*.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (/.f64 1 x)) |
(*.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) 1) |
(*.f64 1 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) |
(*.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) (/.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) x)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) (sqrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2) (/.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) x)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) 2) (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x))) |
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(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 x 4) 707281/11664) 2985984/500246412961)) (-.f64 (*.f64 (*.f64 x x) 841/108) -1728/707281)) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) (sqrt.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) (sqrt.f64 (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) -707281/11664)))) (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2) (cbrt.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2) (cbrt.f64 (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) -707281/11664)))) (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108)))) |
(/.f64 (*.f64 (+.f64 -2985984/500246412961 (neg.f64 (*.f64 (pow.f64 x 4) -707281/11664))) 1) (+.f64 1728/707281 (neg.f64 (*.f64 (*.f64 x x) -841/108)))) |
(/.f64 (*.f64 (+.f64 5159780352/353814783205469041 (neg.f64 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 707281/11664) 2985984/500246412961) 1) (-.f64 (*.f64 (*.f64 x x) 841/108) -1728/707281)) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3))) (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) -707281/11664))) (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)))) (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3))) (pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) -707281/11664))) (pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2)) (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108)))) |
(/.f64 (*.f64 (-.f64 8916100448256/250246473680347348787521 (*.f64 500246412961/136048896 (*.f64 (pow.f64 x 4) (pow.f64 x 4)))) (/.f64 1 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108)))) (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) 707281/11664))) |
(/.f64 (*.f64 (-.f64 26623333280885243904/125184900814733057351483732809459681 (pow.f64 (*.f64 (pow.f64 x 4) 707281/11664) 3)) (/.f64 1 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108)))) (+.f64 8916100448256/250246473680347348787521 (*.f64 (*.f64 (pow.f64 x 4) 707281/11664) (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) 707281/11664))))) |
(/.f64 (*.f64 (-.f64 26623333280885243904/125184900814733057351483732809459681 (*.f64 353814783205469041/1586874322944 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) (pow.f64 x 4))))) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841))))) (-.f64 -5159780352/353814783205469041 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3))) |
(/.f64 (*.f64 (+.f64 -137370551967459378662586974208/44292268542362921407825091617016319887724139383235921 (pow.f64 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841))))) (+.f64 26623333280885243904/125184900814733057351483732809459681 (*.f64 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3) (-.f64 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3) -5159780352/353814783205469041)))) |
(/.f64 (/.f64 (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) -707281/11664)) 1) (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108))) |
(/.f64 (/.f64 (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) -707281/11664)) (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108)))) (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108)))) |
(/.f64 (/.f64 (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) -707281/11664)) (*.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108))) (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108))))) (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108)))) |
(/.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3)) 1) (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))) |
(/.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841))))) |
(/.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841))))) |
(/.f64 (neg.f64 (+.f64 -2985984/500246412961 (neg.f64 (*.f64 (pow.f64 x 4) -707281/11664)))) (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108))) |
(/.f64 (neg.f64 (+.f64 5159780352/353814783205469041 (neg.f64 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3)))) (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))) |
(pow.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) 1) |
(pow.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2) |
(pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 3) |
(pow.f64 (pow.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) 3) 1/3) |
(neg.f64 (+.f64 1728/707281 (*.f64 (*.f64 x x) -841/108))) |
(neg.f64 (/.f64 (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) -707281/11664)) (+.f64 1728/707281 (neg.f64 (*.f64 (*.f64 x x) -841/108))))) |
(neg.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))))) |
(sqrt.f64 (pow.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) 2)) |
(log.f64 (exp.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))))) |
(cbrt.f64 (pow.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)))) |
(exp.f64 (log.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)))) |
(log1p.f64 (expm1.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)))) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(fma.f64 (*.f64 x x) 841/108 -1728/707281) |
(fma.f64 841/108 (*.f64 x x) -1728/707281) |
(fma.f64 1 (*.f64 (*.f64 x x) 841/108) -1728/707281) |
(fma.f64 (*.f64 x (sqrt.f64 841/108)) (*.f64 x (sqrt.f64 841/108)) -1728/707281) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 707281/11664)) (cbrt.f64 (*.f64 (*.f64 x x) 841/108)) -1728/707281) |
| Outputs |
|---|
(/.f64 -1728/707281 x) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x)) |
(fma.f64 x 841/108 (/.f64 -1728/707281 x)) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x)) |
(fma.f64 x 841/108 (/.f64 -1728/707281 x)) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x)) |
(fma.f64 x 841/108 (/.f64 -1728/707281 x)) |
(*.f64 841/108 x) |
(*.f64 x 841/108) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x)) |
(fma.f64 x 841/108 (/.f64 -1728/707281 x)) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x)) |
(fma.f64 x 841/108 (/.f64 -1728/707281 x)) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x)) |
(fma.f64 x 841/108 (/.f64 -1728/707281 x)) |
(*.f64 841/108 x) |
(*.f64 x 841/108) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x)) |
(fma.f64 x 841/108 (/.f64 -1728/707281 x)) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x)) |
(fma.f64 x 841/108 (/.f64 -1728/707281 x)) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(+.f64 (*.f64 x 841/108) (/.f64 -1728/707281 x)) |
(fma.f64 x 841/108 (/.f64 -1728/707281 x)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 841/108)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 841/108)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 841/108)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 841/108)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 841/108)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 841/108)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 841/108)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 841/108)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 841/108)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 841/108)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 841/108)) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 841/108)) |
-1728/707281 |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 841/108)) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(*.f64 841/108 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 841/108)) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(-.f64 (*.f64 841/108 (pow.f64 x 2)) 1728/707281) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(+.f64 (*.f64 (/.f64 1 x) -1728/707281) (*.f64 (/.f64 1 x) (*.f64 (*.f64 x x) 841/108))) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(+.f64 (*.f64 (/.f64 1 x) (*.f64 (*.f64 x x) 841/108)) (*.f64 (/.f64 1 x) -1728/707281)) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(+.f64 (*.f64 -1728/707281 (/.f64 1 x)) (*.f64 (*.f64 (*.f64 x x) 841/108) (/.f64 1 x))) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) 841/108) (/.f64 1 x)) (*.f64 -1728/707281 (/.f64 1 x))) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x))) 1) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (/.f64 1 x)) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) 1) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 1 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) (/.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) x)) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) (sqrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x))) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2) (/.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) x)) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) 2)) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x)) 2) (cbrt.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x))) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 (/.f64 1 x) (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 (+.f64 1728/707281 (*.f64 (*.f64 x x) -841/108)) (/.f64 -1 x)) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) x) (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)))) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) x) (/.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 1)) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) x) (pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2)) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2) 1)) |
(/.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) x) |
(*.f64 (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
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(/.f64 (+.f64 -137370551967459378662586974208/44292268542362921407825091617016319887724139383235921 (*.f64 (pow.f64 (pow.f64 (*.f64 x x) 3) 3) 210457284365172120330305161/1999004627104432128)) (*.f64 (+.f64 2985984/500246412961 (fma.f64 (*.f64 x x) 16/841 (*.f64 (pow.f64 x 4) 707281/11664))) (fma.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 594823321/1259712) (fma.f64 (pow.f64 (*.f64 x x) 3) 594823321/1259712 5159780352/353814783205469041) 26623333280885243904/125184900814733057351483732809459681))) |
(/.f64 (/.f64 (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) -707281/11664)) 1) (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108))) |
(-.f64 (/.f64 2985984/500246412961 (+.f64 -1728/707281 (*.f64 x (*.f64 x -841/108)))) (*.f64 (/.f64 (pow.f64 x 4) (+.f64 -1728/707281 (*.f64 x (*.f64 x -841/108)))) 707281/11664)) |
(-.f64 (/.f64 2985984/500246412961 (fma.f64 x (*.f64 x -841/108) -1728/707281)) (*.f64 707281/11664 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -841/108) -1728/707281)))) |
(/.f64 (fma.f64 (pow.f64 x 4) -707281/11664 2985984/500246412961) (fma.f64 x (*.f64 x -841/108) -1728/707281)) |
(/.f64 (/.f64 (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) -707281/11664)) (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108)))) (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108)))) |
(-.f64 (/.f64 2985984/500246412961 (+.f64 -1728/707281 (*.f64 x (*.f64 x -841/108)))) (*.f64 (/.f64 (pow.f64 x 4) (+.f64 -1728/707281 (*.f64 x (*.f64 x -841/108)))) 707281/11664)) |
(-.f64 (/.f64 2985984/500246412961 (fma.f64 x (*.f64 x -841/108) -1728/707281)) (*.f64 707281/11664 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -841/108) -1728/707281)))) |
(/.f64 (fma.f64 (pow.f64 x 4) -707281/11664 2985984/500246412961) (fma.f64 x (*.f64 x -841/108) -1728/707281)) |
(/.f64 (/.f64 (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) -707281/11664)) (*.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108))) (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108))))) (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108)))) |
(-.f64 (/.f64 2985984/500246412961 (+.f64 -1728/707281 (*.f64 x (*.f64 x -841/108)))) (*.f64 (/.f64 (pow.f64 x 4) (+.f64 -1728/707281 (*.f64 x (*.f64 x -841/108)))) 707281/11664)) |
(-.f64 (/.f64 2985984/500246412961 (fma.f64 x (*.f64 x -841/108) -1728/707281)) (*.f64 707281/11664 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -841/108) -1728/707281)))) |
(/.f64 (fma.f64 (pow.f64 x 4) -707281/11664 2985984/500246412961) (fma.f64 x (*.f64 x -841/108) -1728/707281)) |
(/.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3)) 1) (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))) |
(/.f64 (+.f64 -5159780352/353814783205469041 (*.f64 (pow.f64 (*.f64 x x) 3) 594823321/1259712)) (fma.f64 (pow.f64 x 4) 707281/11664 (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 594823321/1259712 -5159780352/353814783205469041) (+.f64 2985984/500246412961 (fma.f64 (*.f64 x x) 16/841 (*.f64 (pow.f64 x 4) 707281/11664)))) |
(/.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841))))) |
(/.f64 (+.f64 -5159780352/353814783205469041 (*.f64 (pow.f64 (*.f64 x x) 3) 594823321/1259712)) (fma.f64 (pow.f64 x 4) 707281/11664 (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 594823321/1259712 -5159780352/353814783205469041) (+.f64 2985984/500246412961 (fma.f64 (*.f64 x x) 16/841 (*.f64 (pow.f64 x 4) 707281/11664)))) |
(/.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841))))) |
(/.f64 (+.f64 -5159780352/353814783205469041 (*.f64 (pow.f64 (*.f64 x x) 3) 594823321/1259712)) (fma.f64 (pow.f64 x 4) 707281/11664 (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 594823321/1259712 -5159780352/353814783205469041) (+.f64 2985984/500246412961 (fma.f64 (*.f64 x x) 16/841 (*.f64 (pow.f64 x 4) 707281/11664)))) |
(/.f64 (neg.f64 (+.f64 -2985984/500246412961 (neg.f64 (*.f64 (pow.f64 x 4) -707281/11664)))) (+.f64 -1728/707281 (*.f64 (*.f64 x x) -841/108))) |
(-.f64 (/.f64 2985984/500246412961 (+.f64 -1728/707281 (*.f64 x (*.f64 x -841/108)))) (*.f64 (/.f64 (pow.f64 x 4) (+.f64 -1728/707281 (*.f64 x (*.f64 x -841/108)))) 707281/11664)) |
(-.f64 (/.f64 2985984/500246412961 (fma.f64 x (*.f64 x -841/108) -1728/707281)) (*.f64 707281/11664 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -841/108) -1728/707281)))) |
(/.f64 (fma.f64 (pow.f64 x 4) -707281/11664 2985984/500246412961) (fma.f64 x (*.f64 x -841/108) -1728/707281)) |
(/.f64 (neg.f64 (+.f64 5159780352/353814783205469041 (neg.f64 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3)))) (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))) |
(/.f64 (+.f64 -5159780352/353814783205469041 (*.f64 (pow.f64 (*.f64 x x) 3) 594823321/1259712)) (fma.f64 (pow.f64 x 4) 707281/11664 (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 594823321/1259712 -5159780352/353814783205469041) (+.f64 2985984/500246412961 (fma.f64 (*.f64 x x) 16/841 (*.f64 (pow.f64 x 4) 707281/11664)))) |
(pow.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) 1) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(pow.f64 (sqrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 2) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(pow.f64 (cbrt.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))) 3) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(pow.f64 (pow.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) 3) 1/3) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(neg.f64 (+.f64 1728/707281 (*.f64 (*.f64 x x) -841/108))) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(neg.f64 (/.f64 (+.f64 2985984/500246412961 (*.f64 (pow.f64 x 4) -707281/11664)) (+.f64 1728/707281 (neg.f64 (*.f64 (*.f64 x x) -841/108))))) |
(/.f64 (fma.f64 (pow.f64 x 4) 707281/11664 -2985984/500246412961) (fma.f64 (*.f64 x x) 841/108 1728/707281)) |
(/.f64 (fma.f64 (pow.f64 x 4) 707281/11664 -2985984/500246412961) (fma.f64 x (*.f64 x 841/108) 1728/707281)) |
(neg.f64 (/.f64 (+.f64 -5159780352/353814783205469041 (pow.f64 (*.f64 (*.f64 x x) 841/108) 3)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 707281/11664) (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))))) |
(/.f64 (+.f64 -5159780352/353814783205469041 (*.f64 (pow.f64 (*.f64 x x) 3) 594823321/1259712)) (fma.f64 (pow.f64 x 4) 707281/11664 (-.f64 2985984/500246412961 (*.f64 (*.f64 x x) -16/841)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 594823321/1259712 -5159780352/353814783205469041) (+.f64 2985984/500246412961 (fma.f64 (*.f64 x x) 16/841 (*.f64 (pow.f64 x 4) 707281/11664)))) |
(sqrt.f64 (pow.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281) 2)) |
(fabs.f64 (fma.f64 x (*.f64 x 841/108) -1728/707281)) |
(log.f64 (exp.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)))) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108))))) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(cbrt.f64 (pow.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) 3)) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(expm1.f64 (log1p.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)))) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(exp.f64 (log.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)))) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(log1p.f64 (expm1.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)))) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(fma.f64 (*.f64 x x) 841/108 -1728/707281) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(fma.f64 841/108 (*.f64 x x) -1728/707281) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(fma.f64 1 (*.f64 (*.f64 x x) 841/108) -1728/707281) |
(fma.f64 x (*.f64 x 841/108) -1728/707281) |
(fma.f64 (*.f64 x (sqrt.f64 841/108)) (*.f64 x (sqrt.f64 841/108)) -1728/707281) |
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 841/108)) 2) -1728/707281) |
(+.f64 -1728/707281 (pow.f64 (*.f64 x (sqrt.f64 841/108)) 2)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 707281/11664)) (cbrt.f64 (*.f64 (*.f64 x x) 841/108)) -1728/707281) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 707281/11664)) (cbrt.f64 (*.f64 x (*.f64 x 841/108))) -1728/707281) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) | |
| 0.1b | (*.f64 -707281/11664 (*.f64 x x)) | |
| ✓ | 0.5b | (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108) |
| ✓ | 16.6b | (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) |
Compiled 40 to 23 computations (42.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108) |
| 1× | batch-egg-rewrite |
| 1228× | associate-/r* |
| 1138× | associate-/l* |
| 1132× | *-commutative |
| 474× | associate-/l/ |
| 466× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 56 |
| 1 | 252 | 48 |
| 2 | 3297 | 48 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) |
(/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) 16/841) (*.f64 (/.f64 1 x) (*.f64 -707281/11664 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (*.f64 -707281/11664 (*.f64 x x))) (*.f64 (/.f64 1 x) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 16/841 (/.f64 1 x)) (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 1 x)) (*.f64 16/841 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (*.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (pow.f64 (cbrt.f64 x) 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| 1× | egg-herbie |
| 1692× | distribute-lft-in |
| 1684× | distribute-rgt-in |
| 1618× | associate-/l* |
| 720× | associate-/r* |
| 472× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 252 | 4003 |
| 1 | 667 | 3405 |
| 2 | 2868 | 3405 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 16/841 x) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(*.f64 -707281/11664 x) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(*.f64 -707281/11664 x) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(/.f64 -1728/707281 x) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(*.f64 841/108 x) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(*.f64 841/108 x) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
(+.f64 (*.f64 (/.f64 1 x) 16/841) (*.f64 (/.f64 1 x) (*.f64 -707281/11664 (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 1 x) (*.f64 -707281/11664 (*.f64 x x))) (*.f64 (/.f64 1 x) 16/841)) |
(+.f64 (*.f64 16/841 (/.f64 1 x)) (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (*.f64 (*.f64 -707281/11664 (*.f64 x x)) (/.f64 1 x)) (*.f64 16/841 (/.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) 1) |
(*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 x)) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) 1) |
(*.f64 1 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) |
(*.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (*.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) 2) (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) |
(*.f64 (/.f64 1 x) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) |
(*.f64 (-.f64 -16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -1 x)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 1 x)) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2)) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (-.f64 -16/841 (*.f64 -707281/11664 (*.f64 x x)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 1) (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) x) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) x) (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 1)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) x)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) x) (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2))) (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 x)) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 x)) (-.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (+.f64 256/707281 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (*.f64 x x) -841/729)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (-.f64 65536/500246412961 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (*.f64 x x) -841/729)) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (*.f64 x x) -841/729))))) (+.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (+.f64 16777216/353814783205469041 (pow.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (*.f64 x x) -841/729)) 3))) (-.f64 (+.f64 65536/500246412961 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (*.f64 x x) -841/729)) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (*.f64 x x) -841/729)))) (*.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (*.f64 x x) -841/729))))) |
(pow.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) 3) 1/3) |
(pow.f64 (/.f64 x (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) -1) |
(neg.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) |
(exp.f64 (log.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108))) 1) |
(*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 (/.f64 1 x) -108/841)) |
(*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -108/841) |
(*.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108) 1) |
(*.f64 1 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108)) (sqrt.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) -108/841)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108)) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) -108/841)) |
(*.f64 -108/841 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) |
(*.f64 (neg.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) 108/841) |
(*.f64 (*.f64 (/.f64 1 x) -108/841) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) -108/841) (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) -108/841) (pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) 2)) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -841/108) (/.f64 1 x)) |
(*.f64 (/.f64 -108/841 x) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) |
(*.f64 108/841 (neg.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) x) (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) -841/108)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) -841/108)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) -841/108) (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) -841/108) (/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (*.f64 x -841/108)) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(*.f64 (/.f64 1 (*.f64 -841/108 (sqrt.f64 (/.f64 x (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))))) (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) |
(*.f64 (/.f64 1 (/.f64 -841/108 (pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) 2))) (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) -841/108) (sqrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2) (*.f64 x -841/108)) (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x)) 2) -841/108) (cbrt.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x))) |
(*.f64 (/.f64 -108/841 (sqrt.f64 x)) (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (sqrt.f64 x))) |
(*.f64 (/.f64 -108/841 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (cbrt.f64 x))) |
(*.f64 (/.f64 -108/841 (neg.f64 x)) (-.f64 -16/841 (*.f64 -707281/11664 (*.f64 x x)))) |
(*.f64 (/.f64 -108/841 (/.f64 x 1)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) |
(*.f64 (/.f64 -108/841 (/.f64 x (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(*.f64 (/.f64 -108/841 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2))) (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(pow.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108) 1) |
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108)) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108) 3) 1/3) |
(pow.f64 (/.f64 x (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -841/108)) -1) |
(neg.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 841/108 x))) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) 2) 11664/707281)) |
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108)))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108))) |
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108))) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108))) |
| Outputs |
|---|
(/.f64 16/841 x) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(fma.f64 -707281/11664 x (/.f64 16/841 x)) |
(fma.f64 x -707281/11664 (/.f64 16/841 x)) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(fma.f64 -707281/11664 x (/.f64 16/841 x)) |
(fma.f64 x -707281/11664 (/.f64 16/841 x)) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(fma.f64 -707281/11664 x (/.f64 16/841 x)) |
(fma.f64 x -707281/11664 (/.f64 16/841 x)) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(fma.f64 -707281/11664 x (/.f64 16/841 x)) |
(fma.f64 x -707281/11664 (/.f64 16/841 x)) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(fma.f64 -707281/11664 x (/.f64 16/841 x)) |
(fma.f64 x -707281/11664 (/.f64 16/841 x)) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(fma.f64 -707281/11664 x (/.f64 16/841 x)) |
(fma.f64 x -707281/11664 (/.f64 16/841 x)) |
(*.f64 -707281/11664 x) |
(*.f64 x -707281/11664) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(fma.f64 -707281/11664 x (/.f64 16/841 x)) |
(fma.f64 x -707281/11664 (/.f64 16/841 x)) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(fma.f64 -707281/11664 x (/.f64 16/841 x)) |
(fma.f64 x -707281/11664 (/.f64 16/841 x)) |
(+.f64 (*.f64 -707281/11664 x) (*.f64 16/841 (/.f64 1 x))) |
(fma.f64 -707281/11664 x (/.f64 16/841 x)) |
(fma.f64 x -707281/11664 (/.f64 16/841 x)) |
(/.f64 -1728/707281 x) |
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))) |
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(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
(*.f64 (/.f64 -108/841 (/.f64 x (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))) (sqrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
(*.f64 (/.f64 -108/841 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) 2))) (cbrt.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
(pow.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108) 1) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108)) 2) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108)) 3) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108) 3) 1/3) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
(pow.f64 (/.f64 x (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) -841/108)) -1) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
(neg.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 841/108 x))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) 2) 11664/707281)) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) x) 2) 11664/707281)) |
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108)))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108) 3)) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108))) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108)) |
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) |
Compiled 28811 to 21737 computations (24.6% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1268 | 2 | 1270 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 5 | 7 |
| Total | 1271 | 8 | 1279 |
| Status | Error | Program |
|---|---|---|
| ✓ | 17.9b | (/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
| ✓ | 47.7b | (/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
| 30.0b | (/.f64 (*.f64 x -707281/11664) -841/108) | |
| ✓ | 29.8b | (/.f64 1 (/.f64 108/841 x)) |
| 1.7b | (-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (/.f64 x 11664/707281) -841/108)) | |
| ✓ | 0.1b | (+.f64 4/29 (*.f64 841/108 x)) |
| ✓ | 29.7b | (*.f64 841/108 x) |
| 33.1b | 4/29 |
Compiled 62 to 50 computations (19.4% saved)
| Inputs |
|---|
4/29 |
(*.f64 841/108 x) |
(+.f64 4/29 (*.f64 841/108 x)) |
(/.f64 1 (/.f64 108/841 x)) |
(/.f64 (*.f64 x -707281/11664) -841/108) |
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
(/.f64 1 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29))) |
(/.f64 (+.f64 -1728/707281 (*.f64 (*.f64 x x) 841/108)) x) |
(*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)) |
(/.f64 (/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) x) -841/108) |
(-.f64 4/29 (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) x)) |
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (/.f64 x 11664/707281) -841/108)) |
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) |
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (-.f64 -4/29 (*.f64 x -841/108))) |
(*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) |
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 (/.f64 x (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 707281/11664 x))) |
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (*.f64 (/.f64 (*.f64 707281/11664 x) (+.f64 4/29 (*.f64 -841/108 x))) 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 (/.f64 x 11664/707281) (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) x))) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))) |
| Outputs |
|---|
(+.f64 4/29 (*.f64 841/108 x)) |
3 calls:
| 10.0ms | (*.f64 (/.f64 841 108) x) |
| 10.0ms | x |
| 6.0ms | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29)) |
| 0.1b | 1 | (*.f64 (/.f64 841 108) x) |
Compiled 253 to 198 computations (21.7% saved)
Total -60.5b remaining (-5311.9%)
Threshold costs -60.5b (-5311.9%)
| Inputs |
|---|
4/29 |
(*.f64 841/108 x) |
| Outputs |
|---|
(*.f64 841/108 x) |
4/29 |
(*.f64 841/108 x) |
1 calls:
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 3 | x |
Compiled 7 to 5 computations (28.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 5.07432380685135e-7 | 7.963156667809301 |
| 14.0ms | -408847.52645024384 | -0.0003041563868153982 |
| 24.0ms | 288× | body | 256 | valid |
Compiled 158 to 138 computations (12.7% 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 -5188146770730811/288230376151711744) (*.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 -5188146770730811/288230376151711744) (*.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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