Time bar (total: 5.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 53.3% | 50% | 43.7% | 0.1% | 6.2% | 0% | 0% | 7 |
| 63.3% | 59.3% | 34.3% | 0.1% | 6.2% | 0% | 0% | 8 |
| 74.1% | 67.1% | 23.4% | 0.1% | 9.4% | 0% | 0% | 9 |
| 80.2% | 72.6% | 18% | 0.1% | 9.4% | 0% | 0% | 10 |
| 86.4% | 76.9% | 12.1% | 0.1% | 10.9% | 0% | 0% | 11 |
| 89.7% | 79.8% | 9.2% | 0.1% | 10.9% | 0% | 0% | 12 |
Compiled 12 to 10 computations (16.7% saved)
| 1.1s | 8256× | body | 256 | valid |
| 14.0ms | 166× | body | 256 | infinite |
| 2× | egg-herbie |
| 72× | fma-def |
| 44× | *-commutative |
| 36× | distribute-lft-in |
| 20× | distribute-rgt-in |
| 16× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 38 |
| 1 | 28 | 38 |
| 2 | 47 | 30 |
| 3 | 95 | 30 |
| 4 | 137 | 30 |
| 5 | 149 | 30 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
(*.f64 (*.f64 (-.f64 y (/.f64 16 116)) 3) x) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
(*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
(*.f64 (fma.f64 x 3 -12/29) y) |
(*.f64 (*.f64 (-.f64 y (/.f64 16 116)) 3) x) |
(*.f64 x (*.f64 3 (+.f64 y -4/29))) |
(*.f64 3 (*.f64 (+.f64 y -4/29) x)) |
(*.f64 x (fma.f64 3 y -12/29)) |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 36× | fma-def |
| 26× | *-commutative |
| 20× | distribute-lft-in |
| 12× | distribute-rgt-in |
| 10× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 19 |
| 1 | 20 | 19 |
| 2 | 34 | 15 |
| 3 | 62 | 15 |
| 4 | 82 | 15 |
| 5 | 88 | 15 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
(*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
(*.f64 (fma.f64 x 3 -12/29) y) |
Compiled 24 to 18 computations (25% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 3 | 3 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.5b | (*.f64 (fma.f64 x 3 -12/29) y) |
| ▶ | 0.2b | (*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
| ▶ | 0.5b | (*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
Compiled 28 to 22 computations (21.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 16 116)) |
| ✓ | 0.0b | (*.f64 (-.f64 x (/.f64 16 116)) 3) |
| ✓ | 0.5b | (*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
Compiled 31 to 25 computations (19.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
| 0.0ms | y | @ | inf | (*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
| 1× | batch-egg-rewrite |
| 922× | *-commutative |
| 610× | unswap-sqr |
| 578× | associate-*r/ |
| 556× | swap-sqr |
| 464× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 1 | 238 | 39 |
| 2 | 2703 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
(*.f64 (-.f64 x (/.f64 16 116)) 3) |
(-.f64 x (/.f64 16 116)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 y) x) (*.f64 (*.f64 3 y) -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 y) -4/29) (*.f64 (*.f64 3 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) y) (*.f64 -12/29 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -4/29 (*.f64 3 y)) (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (*.f64 (*.f64 3 y) (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841))) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389))) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 y) (neg.f64 (fma.f64 x x -16/841))) (+.f64 -4/29 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 y) (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389)) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 x x -16/841)) (*.f64 3 y)) (+.f64 -4/29 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) (*.f64 3 y)) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) y) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) 1) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) 1) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (*.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 3 y))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 x x -16/841)) (*.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 3 y))) (sqrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) 1) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (*.f64 (cbrt.f64 (+.f64 x 4/29)) (cbrt.f64 (+.f64 x 4/29)))) (cbrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) 1) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) (exp.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 (*.f64 x 3) -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 (*.f64 x 3) -12/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 x 3)) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) 1) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (neg.f64 (fma.f64 x x -16/841))) (+.f64 -4/29 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389)) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 x x -16/841)) 3) (+.f64 -4/29 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) 3) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> 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-4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x -16/841) (+.f64 -4/29 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 25/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -4/29))))) |
| 1× | egg-herbie |
| 1822× | unswap-sqr |
| 1296× | associate-/r/ |
| 732× | associate-/l* |
| 618× | associate-*r* |
| 490× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 483 | 7161 |
| 1 | 1255 | 6343 |
| 2 | 4864 | 6337 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
-12/29 |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
-4/29 |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
x |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
x |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) -1) |
(+.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29)) |
(+.f64 (*.f64 (*.f64 3 y) x) (*.f64 (*.f64 3 y) -4/29)) |
(+.f64 (*.f64 (*.f64 3 y) -4/29) (*.f64 (*.f64 3 y) x)) |
(+.f64 (*.f64 (*.f64 x 3) y) (*.f64 -12/29 y)) |
(+.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y))) |
(+.f64 (*.f64 -4/29 (*.f64 3 y)) (*.f64 x (*.f64 3 y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) 1) |
(/.f64 1 (/.f64 (+.f64 x 4/29) (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)))) |
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)))) |
(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29))) |
(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 3 y))) |
(/.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (*.f64 3 y))) |
(/.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(/.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))) |
(/.f64 (*.f64 y (*.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29)) |
(/.f64 (*.f64 y (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(/.f64 (*.f64 1 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841))) (+.f64 x 4/29)) |
(/.f64 (*.f64 1 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389))) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(/.f64 (*.f64 (*.f64 3 y) (neg.f64 (fma.f64 x x -16/841))) (+.f64 -4/29 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 3 y) (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389)) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -16/841)) (*.f64 3 y)) (+.f64 -4/29 (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) (*.f64 3 y)) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (*.f64 (*.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29)) |
(/.f64 (*.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) y) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(/.f64 (*.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) 1) (+.f64 x 4/29)) |
(/.f64 (*.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) 1) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (*.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 3 y))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -16/841)) (*.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 3 y))) (sqrt.f64 (+.f64 x 4/29))) |
(/.f64 (/.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) 1) (+.f64 x 4/29)) |
(/.f64 (/.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x 4/29))) |
(/.f64 (/.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (*.f64 (cbrt.f64 (+.f64 x 4/29)) (cbrt.f64 (+.f64 x 4/29)))) (cbrt.f64 (+.f64 x 4/29))) |
(/.f64 (/.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) 1) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(/.f64 (/.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (/.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) (exp.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) 1)) |
(pow.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y) 1) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y)) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (+.f64 (*.f64 x 3) -12/29))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y)))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y) 3)) |
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 (*.f64 x 3) -12/29) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) |
(exp.f64 (log.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) |
(+.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29))) -1) |
(+.f64 (*.f64 x 3) -12/29) |
(+.f64 -12/29 (*.f64 x 3)) |
(+.f64 (*.f64 1 (*.f64 x 3)) -12/29) |
(+.f64 (*.f64 (*.f64 x 3) 1) -12/29) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29))) 1) |
(/.f64 3 (/.f64 1 (+.f64 x -4/29))) |
(/.f64 1 (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841)))) |
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389))) |
(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) 3)) |
(/.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) 3)) |
(/.f64 (*.f64 3 (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(/.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))) |
(/.f64 (*.f64 3 (neg.f64 (fma.f64 x x -16/841))) (+.f64 -4/29 (neg.f64 x))) |
(/.f64 (*.f64 3 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389)) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (*.f64 1 (*.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29)) |
(/.f64 (*.f64 1 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(/.f64 (*.f64 (*.f64 3 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (*.f64 (*.f64 3 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (+.f64 x 4/29))) |
(/.f64 (*.f64 (*.f64 3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (*.f64 (*.f64 3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -16/841)) 3) (+.f64 -4/29 (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) 3) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (*.f64 (*.f64 3 (fma.f64 x x -16/841)) 1) (+.f64 x 4/29)) |
(/.f64 (*.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) 1) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (*.f64 3 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -16/841)) (*.f64 3 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 x 4/29))) |
(/.f64 (/.f64 (*.f64 3 (fma.f64 x x -16/841)) 1) (+.f64 x 4/29)) |
(/.f64 (/.f64 (*.f64 3 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x 4/29))) |
(/.f64 (/.f64 (*.f64 3 (fma.f64 x x -16/841)) (*.f64 (cbrt.f64 (+.f64 x 4/29)) (cbrt.f64 (+.f64 x 4/29)))) (cbrt.f64 (+.f64 x 4/29))) |
(/.f64 (/.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) 1) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(/.f64 (/.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (/.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) 144/841) (-.f64 (*.f64 x 3) -12/29)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29))) (exp.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29)))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29))) 1)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) -1728/24389) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 144/841 (*.f64 (*.f64 x 3) -12/29)))) |
(pow.f64 (+.f64 (*.f64 x 3) -12/29) 1) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x 3) -12/29)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x 3) -12/29)) 3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 x 3) -12/29) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x 3) -12/29) 2)) |
(log.f64 (pow.f64 (exp.f64 3) (+.f64 x -4/29))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x 3) -12/29)))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x 3) -12/29) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 3) -12/29))) |
(exp.f64 (log.f64 (+.f64 (*.f64 x 3) -12/29))) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 3) -12/29))) |
(+.f64 x -4/29) |
(+.f64 -4/29 x) |
(+.f64 (exp.f64 (log.f64 (+.f64 25/29 x))) -1) |
(+.f64 (/.f64 x (/.f64 (+.f64 x 4/29) x)) (neg.f64 (/.f64 16/841 (+.f64 x 4/29)))) |
(+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (neg.f64 (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) |
(*.f64 (+.f64 x -4/29) 1) |
(*.f64 1 (+.f64 x -4/29)) |
(*.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 x -4/29))) |
(*.f64 (cbrt.f64 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29))) |
(*.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 1 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(*.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 1 (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29))))) |
(*.f64 (/.f64 1 (+.f64 x 4/29)) (fma.f64 x x -16/841)) |
(*.f64 (/.f64 1 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (+.f64 (pow.f64 x 3) -64/24389)) |
(*.f64 (neg.f64 (fma.f64 x x -16/841)) (/.f64 1 (+.f64 -4/29 (neg.f64 x)))) |
(*.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) (/.f64 1 (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) |
(*.f64 (/.f64 (fma.f64 x x -16/841) (fma.f64 x x -16/841)) (+.f64 x -4/29)) |
(*.f64 (/.f64 (fma.f64 x x -16/841) (+.f64 64/24389 (pow.f64 x 3))) (+.f64 (*.f64 x x) (+.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 16/841 (*.f64 x 4/29)) 2))) (-.f64 (fma.f64 x x -16/841) (*.f64 x 4/29))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 16/841 (*.f64 x 4/29)) 3))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 16/841 (*.f64 x 4/29)) (-.f64 (+.f64 16/841 (*.f64 x 4/29)) (*.f64 x x))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -4/29))) (cbrt.f64 (+.f64 x -4/29))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -4/29))) (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 x -4/29)) (sqrt.f64 (cbrt.f64 (+.f64 x -4/29)))) (*.f64 (cbrt.f64 (+.f64 x -4/29)) (sqrt.f64 (cbrt.f64 (+.f64 x -4/29))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x -4/29)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x -4/29))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3/2) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/6) (pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/6)) |
(/.f64 1 (/.f64 1 (+.f64 x -4/29))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29))) (+.f64 (pow.f64 x 3) -64/24389))) |
(/.f64 1 (/.f64 (/.f64 1 (+.f64 x -4/29)) 1)) |
(/.f64 1 (/.f64 (+.f64 -4/29 (neg.f64 x)) (neg.f64 (fma.f64 x x -16/841)))) |
(/.f64 1 (/.f64 (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389))) |
(/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)) |
(/.f64 (+.f64 (pow.f64 x 3) -64/24389) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(/.f64 (+.f64 (pow.f64 x 3) -64/24389) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))) |
(/.f64 (+.f64 (pow.f64 x 3) -64/24389) (+.f64 16/841 (-.f64 (*.f64 x x) (*.f64 x -4/29)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (/.f64 (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29))) (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)))) |
(/.f64 (sqrt.f64 (fma.f64 x x -16/841)) (/.f64 (+.f64 x 4/29) (sqrt.f64 (fma.f64 x x -16/841)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (/.f64 (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29))) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -16/841)) (cbrt.f64 (fma.f64 x x -16/841))) (/.f64 (+.f64 x 4/29) (cbrt.f64 (fma.f64 x x -16/841)))) |
(/.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (*.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (+.f64 64/24389 (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (*.f64 (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29))) (+.f64 64/24389 (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 x 4) -256/707281) (*.f64 (+.f64 x 4/29) (+.f64 16/841 (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) -262144/14507145975869) (*.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (+.f64 (+.f64 (pow.f64 x 6) 4096/594823321) (*.f64 64/24389 (pow.f64 x 3))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) -262144/14507145975869) (*.f64 (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29))) (+.f64 (+.f64 (pow.f64 x 6) 4096/594823321) (*.f64 64/24389 (pow.f64 x 3))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) -4096/594823321) (*.f64 (+.f64 x 4/29) (+.f64 (+.f64 (pow.f64 x 4) 256/707281) (*.f64 16/841 (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 x x -16/841)) (+.f64 -4/29 (neg.f64 x))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (+.f64 x 4/29))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -16/841)) 1) (+.f64 -4/29 (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) 1) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 x 4/29))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -16/841)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 x 4/29))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -256/707281) (/.f64 1 (+.f64 x 4/29))) (+.f64 16/841 (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x x) 3) -4096/594823321) (/.f64 1 (+.f64 x 4/29))) (+.f64 (+.f64 (pow.f64 x 4) 256/707281) (*.f64 16/841 (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (/.f64 1 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) (+.f64 64/24389 (pow.f64 x 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) -262144/14507145975869) (/.f64 1 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) (+.f64 (+.f64 (pow.f64 x 6) 4096/594823321) (*.f64 64/24389 (pow.f64 x 3)))) |
(/.f64 (/.f64 (fma.f64 x x -16/841) 1) (+.f64 x 4/29)) |
(/.f64 (/.f64 (fma.f64 x x -16/841) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x 4/29))) |
(/.f64 (/.f64 (fma.f64 x x -16/841) (*.f64 (cbrt.f64 (+.f64 x 4/29)) (cbrt.f64 (+.f64 x 4/29)))) (cbrt.f64 (+.f64 x 4/29))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) -64/24389) 1) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) (sqrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) (cbrt.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log.f64 (+.f64 25/29 x))) (exp.f64 (log.f64 (+.f64 25/29 x)))) 1) (+.f64 (exp.f64 (log.f64 (+.f64 25/29 x))) 1)) |
(/.f64 (-.f64 (*.f64 (/.f64 x (/.f64 (+.f64 x 4/29) x)) (/.f64 x (/.f64 (+.f64 x 4/29) x))) (*.f64 (/.f64 16/841 (+.f64 x 4/29)) (/.f64 16/841 (+.f64 x 4/29)))) (+.f64 (/.f64 x (/.f64 (+.f64 x 4/29) x)) (/.f64 16/841 (+.f64 x 4/29)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) (*.f64 (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) |
(pow.f64 (+.f64 x -4/29) 1) |
(pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2) |
(pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3) |
(pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/3) |
(neg.f64 (/.f64 (fma.f64 x x -16/841) (+.f64 -4/29 (neg.f64 x)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) |
(sqrt.f64 (pow.f64 (+.f64 x -4/29) 2)) |
(log.f64 (exp.f64 (+.f64 x -4/29))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -4/29)))) |
(cbrt.f64 (pow.f64 (+.f64 x -4/29) 3)) |
(expm1.f64 (log.f64 (+.f64 25/29 x))) |
(exp.f64 (log.f64 (+.f64 x -4/29))) |
(log1p.f64 (expm1.f64 (+.f64 x -4/29))) |
(fma.f64 1 x -4/29) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -4/29) |
| Outputs |
|---|
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(*.f64 x (*.f64 y 3)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(*.f64 x (*.f64 y 3)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
-12/29 |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
-4/29 |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
x |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
x |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) -1) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (*.f64 3 y) x) (*.f64 (*.f64 3 y) -4/29)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (*.f64 3 y) -4/29) (*.f64 (*.f64 3 y) x)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (*.f64 x 3) y) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 -4/29 (*.f64 3 y)) (*.f64 x (*.f64 3 y))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 x 3) -12/29) y))) 1) |
(*.f64 y (fma.f64 3 x -12/29)) |
(/.f64 1 (/.f64 (+.f64 x 4/29) (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)))) |
(/.f64 y (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841)))) |
(*.f64 (*.f64 y 3) (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))) |
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)))) |
(/.f64 (*.f64 3 (*.f64 y (+.f64 (pow.f64 x 3) -64/24389))) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(*.f64 (/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x (+.f64 x 4/29) 16/841)) y) |
(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) (*.f64 3 y))) |
(/.f64 y (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841)))) |
(*.f64 (*.f64 y 3) (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))) |
(/.f64 (+.f64 (pow.f64 x 3) -64/24389) (/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (*.f64 3 y))) |
(/.f64 (*.f64 3 (*.f64 y (+.f64 (pow.f64 x 3) -64/24389))) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(*.f64 (/.f64 (fma.f64 3 (pow.f64 x 3) -192/24389) (fma.f64 x (+.f64 x 4/29) 16/841)) y) |
(/.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 y (/.f64 (+.f64 x 4/29) (*.f64 3 (fma.f64 x x -16/841)))) |
(*.f64 (*.f64 y 3) (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))) |
(/.f64 (*.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
(/.f64 (*.f64 3 (*.f64 y (+.f64 (pow.f64 x 3) -64/24389))) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) |
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(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x 4/29)) x) (*.f64 (/.f64 x (+.f64 x 4/29)) x)) (*.f64 (/.f64 -16/841 (+.f64 x 4/29)) (/.f64 16/841 (+.f64 x 4/29)))) (+.f64 (*.f64 (/.f64 x (+.f64 x 4/29)) x) (/.f64 16/841 (+.f64 x 4/29)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 x (+.f64 x 4/29)) x (/.f64 16/841 (+.f64 x 4/29))) (fma.f64 (/.f64 x (+.f64 x 4/29)) x (/.f64 -16/841 (+.f64 x 4/29)))) (fma.f64 (/.f64 x (+.f64 x 4/29)) x (/.f64 16/841 (+.f64 x 4/29)))) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x (+.f64 x 4/29))) (*.f64 x (/.f64 x (+.f64 x 4/29))) (/.f64 (/.f64 -256/707281 (+.f64 x 4/29)) (+.f64 x 4/29))) (fma.f64 (/.f64 x (+.f64 x 4/29)) x (/.f64 16/841 (+.f64 x 4/29)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) (*.f64 (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) |
(/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (/.f64 -64/24389 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))) (/.f64 64/24389 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) |
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x 6) (fma.f64 x (+.f64 x 4/29) 16/841)) (fma.f64 x (+.f64 x 4/29) 16/841)) (/.f64 (/.f64 4096/594823321 (fma.f64 x (+.f64 x 4/29) 16/841)) (fma.f64 x (+.f64 x 4/29) 16/841))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x 4/29) 16/841)) (/.f64 64/24389 (fma.f64 x (+.f64 x 4/29) 16/841)))) |
(pow.f64 (+.f64 x -4/29) 1) |
(+.f64 x -4/29) |
(pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2) |
(+.f64 x -4/29) |
(pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3) |
(+.f64 x -4/29) |
(pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/3) |
(+.f64 x -4/29) |
(neg.f64 (/.f64 (fma.f64 x x -16/841) (+.f64 -4/29 (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 x x -16/841)) (-.f64 -4/29 x)) |
(/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) -64/24389) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29)))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 64/24389) (neg.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))))) |
(/.f64 (-.f64 64/24389 (pow.f64 x 3)) (neg.f64 (fma.f64 x (+.f64 x 4/29) 16/841))) |
(/.f64 (-.f64 64/24389 (pow.f64 x 3)) (+.f64 -16/841 (*.f64 x (-.f64 -4/29 x)))) |
(sqrt.f64 (pow.f64 (+.f64 x -4/29) 2)) |
(fabs.f64 (+.f64 x -4/29)) |
(log.f64 (exp.f64 (+.f64 x -4/29))) |
(+.f64 x -4/29) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -4/29)))) |
(+.f64 x -4/29) |
(cbrt.f64 (pow.f64 (+.f64 x -4/29) 3)) |
(+.f64 x -4/29) |
(expm1.f64 (log.f64 (+.f64 25/29 x))) |
(+.f64 x -4/29) |
(exp.f64 (log.f64 (+.f64 x -4/29))) |
(+.f64 x -4/29) |
(log1p.f64 (expm1.f64 (+.f64 x -4/29))) |
(+.f64 x -4/29) |
(fma.f64 1 x -4/29) |
(+.f64 x -4/29) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29) |
(+.f64 x -4/29) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -4/29) |
(+.f64 x -4/29) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x -4/29) |
| ✓ | 0.2b | (*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
Compiled 19 to 13 computations (31.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
| 0.0ms | y | @ | inf | (*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
| 0.0ms | y | @ | -inf | (*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
| 1× | batch-egg-rewrite |
| 1932× | add-sqr-sqrt |
| 1904× | *-un-lft-identity |
| 1786× | add-cube-cbrt |
| 1768× | add-cbrt-cube |
| 186× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 192 | 26 |
| 2 | 2334 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
(+.f64 x -4/29) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 y) x) (*.f64 (*.f64 3 y) -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 y) -4/29) (*.f64 (*.f64 3 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -4/29 (*.f64 3 y)) (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/841) (*.f64 3 y)) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64/24389 (pow.f64 x 3)) (*.f64 3 y)) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x -4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x 4/29)) (/.f64 16/841 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -64/24389 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))) (+.f64 -64/24389 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/841) (+.f64 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -64/24389 (pow.f64 x 3)) (+.f64 16/841 (-.f64 (*.f64 x x) (*.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/841)) (neg.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -4/29))))) |
| 1× | egg-herbie |
| 1096× | associate-/l* |
| 788× | associate-/r* |
| 784× | distribute-lft-in |
| 754× | distribute-rgt-in |
| 688× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 1583 |
| 1 | 325 | 1511 |
| 2 | 1291 | 1263 |
| 3 | 5291 | 1263 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
-4/29 |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
x |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
x |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
(+.f64 (*.f64 (*.f64 3 y) x) (*.f64 (*.f64 3 y) -4/29)) |
(+.f64 (*.f64 (*.f64 3 y) -4/29) (*.f64 (*.f64 3 y) x)) |
(+.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y))) |
(+.f64 (*.f64 -4/29 (*.f64 3 y)) (*.f64 x (*.f64 3 y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))) 1) |
(/.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (*.f64 (*.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(/.f64 (*.f64 (fma.f64 x x -16/841) (*.f64 3 y)) (+.f64 x 4/29)) |
(/.f64 (*.f64 (+.f64 -64/24389 (pow.f64 x 3)) (*.f64 3 y)) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) (+.f64 x -4/29))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))) |
(exp.f64 (log.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x -4/29))) 1) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 4/29)) (/.f64 16/841 (+.f64 x 4/29))) |
(*.f64 (+.f64 x -4/29) 1) |
(*.f64 1 (+.f64 x -4/29)) |
(*.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 x -4/29))) |
(*.f64 (cbrt.f64 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29))) |
(*.f64 (+.f64 -64/24389 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))) |
(/.f64 1 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))) |
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))) (+.f64 -64/24389 (pow.f64 x 3)))) |
(/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)) |
(/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (+.f64 16/841 (-.f64 (*.f64 x x) (*.f64 x -4/29)))) |
(/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) |
(/.f64 (neg.f64 (fma.f64 x x -16/841)) (neg.f64 (+.f64 x 4/29))) |
(/.f64 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))) |
(pow.f64 (+.f64 x -4/29) 1) |
(pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2) |
(pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3) |
(pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x -4/29) 2)) |
(log.f64 (exp.f64 (+.f64 x -4/29))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -4/29)))) |
(cbrt.f64 (pow.f64 (+.f64 x -4/29) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x -4/29))) |
(exp.f64 (log.f64 (+.f64 x -4/29))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x -4/29)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 x -4/29))) |
(fma.f64 1 x -4/29) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -4/29) |
| Outputs |
|---|
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
-4/29 |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
x |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
x |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
(-.f64 x 4/29) |
(+.f64 x -4/29) |
(+.f64 (*.f64 (*.f64 3 y) x) (*.f64 (*.f64 3 y) -4/29)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (*.f64 3 y) -4/29) (*.f64 (*.f64 3 y) x)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 x (*.f64 3 y)) (*.f64 -4/29 (*.f64 3 y))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 -4/29 (*.f64 3 y)) (*.f64 x (*.f64 3 y))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))) 1) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(/.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (*.f64 y 3) (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))) |
(*.f64 (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)) (*.f64 y 3)) |
(*.f64 (fma.f64 x x -16/841) (/.f64 3 (/.f64 (+.f64 x 4/29) y))) |
(/.f64 (*.f64 (*.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(/.f64 (*.f64 y 3) (/.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))) (+.f64 -64/24389 (pow.f64 x 3)))) |
(*.f64 (/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x (+.f64 x 4/29) 16/841)) (*.f64 y 3)) |
(*.f64 (*.f64 y 3) (/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x (+.f64 x 4/29) 16/841))) |
(/.f64 (*.f64 (fma.f64 x x -16/841) (*.f64 3 y)) (+.f64 x 4/29)) |
(/.f64 (*.f64 y 3) (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))) |
(*.f64 (/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)) (*.f64 y 3)) |
(*.f64 (fma.f64 x x -16/841) (/.f64 3 (/.f64 (+.f64 x 4/29) y))) |
(/.f64 (*.f64 (+.f64 -64/24389 (pow.f64 x 3)) (*.f64 3 y)) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(/.f64 (*.f64 y 3) (/.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))) (+.f64 -64/24389 (pow.f64 x 3)))) |
(*.f64 (/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x (+.f64 x 4/29) 16/841)) (*.f64 y 3)) |
(*.f64 (*.f64 y 3) (/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x (+.f64 x 4/29) 16/841))) |
(pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 1) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 2) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 3) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 3) 1/3) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 2)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) (+.f64 x -4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)) 3)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(exp.f64 (log.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 1)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x -4/29))) 1) |
(+.f64 x -4/29) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 4/29)) (/.f64 16/841 (+.f64 x 4/29))) |
(/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)) |
(*.f64 (+.f64 x -4/29) 1) |
(+.f64 x -4/29) |
(*.f64 1 (+.f64 x -4/29)) |
(+.f64 x -4/29) |
(*.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 x -4/29))) |
(+.f64 x -4/29) |
(*.f64 (cbrt.f64 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) |
(+.f64 x -4/29) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 x -4/29))) |
(+.f64 x -4/29) |
(*.f64 (fma.f64 x x -16/841) (/.f64 1 (+.f64 x 4/29))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 4/29)) (/.f64 16/841 (+.f64 x 4/29))) |
(/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)) |
(*.f64 (+.f64 -64/24389 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))) |
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))) (+.f64 -64/24389 (pow.f64 x 3)))) |
(/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(/.f64 1 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 4/29)) (/.f64 16/841 (+.f64 x 4/29))) |
(/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)) |
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))) (+.f64 -64/24389 (pow.f64 x 3)))) |
(/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 4/29)) (/.f64 16/841 (+.f64 x 4/29))) |
(/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))) (+.f64 -64/24389 (pow.f64 x 3)))) |
(/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (+.f64 16/841 (-.f64 (*.f64 x x) (*.f64 x -4/29)))) |
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))) (+.f64 -64/24389 (pow.f64 x 3)))) |
(/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 4/29)) (/.f64 16/841 (+.f64 x 4/29))) |
(/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)) |
(/.f64 (neg.f64 (fma.f64 x x -16/841)) (neg.f64 (+.f64 x 4/29))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 4/29)) (/.f64 16/841 (+.f64 x 4/29))) |
(/.f64 (fma.f64 x x -16/841) (+.f64 x 4/29)) |
(/.f64 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))) |
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))) (+.f64 -64/24389 (pow.f64 x 3)))) |
(/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(pow.f64 (+.f64 x -4/29) 1) |
(+.f64 x -4/29) |
(pow.f64 (sqrt.f64 (+.f64 x -4/29)) 2) |
(+.f64 x -4/29) |
(pow.f64 (cbrt.f64 (+.f64 x -4/29)) 3) |
(+.f64 x -4/29) |
(pow.f64 (pow.f64 (+.f64 x -4/29) 3) 1/3) |
(+.f64 x -4/29) |
(sqrt.f64 (pow.f64 (+.f64 x -4/29) 2)) |
(+.f64 x -4/29) |
(log.f64 (exp.f64 (+.f64 x -4/29))) |
(+.f64 x -4/29) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -4/29)))) |
(+.f64 x -4/29) |
(cbrt.f64 (pow.f64 (+.f64 x -4/29) 3)) |
(+.f64 x -4/29) |
(expm1.f64 (log1p.f64 (+.f64 x -4/29))) |
(+.f64 x -4/29) |
(exp.f64 (log.f64 (+.f64 x -4/29))) |
(+.f64 x -4/29) |
(exp.f64 (*.f64 (log.f64 (+.f64 x -4/29)) 1)) |
(+.f64 x -4/29) |
(log1p.f64 (expm1.f64 (+.f64 x -4/29))) |
(+.f64 x -4/29) |
(fma.f64 1 x -4/29) |
(+.f64 x -4/29) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -4/29) |
(+.f64 x -4/29) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -4/29) |
(+.f64 x -4/29) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 x 3 -12/29) |
| ✓ | 0.5b | (*.f64 (fma.f64 x 3 -12/29) y) |
Compiled 16 to 11 computations (31.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (fma.f64 x 3 -12/29) y) |
| 0.0ms | y | @ | 0 | (*.f64 (fma.f64 x 3 -12/29) y) |
| 0.0ms | x | @ | -inf | (*.f64 (fma.f64 x 3 -12/29) y) |
| 0.0ms | y | @ | inf | (*.f64 (fma.f64 x 3 -12/29) y) |
| 0.0ms | y | @ | -inf | (*.f64 (fma.f64 x 3 -12/29) y) |
| 1× | batch-egg-rewrite |
| 1648× | add-sqr-sqrt |
| 1624× | *-un-lft-identity |
| 1514× | add-cube-cbrt |
| 1496× | add-cbrt-cube |
| 172× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 1 | 180 | 24 |
| 2 | 2007 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (fma.f64 x 3 -12/29) y) |
(fma.f64 x 3 -12/29) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) y) (*.f64 -12/29 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) 1) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3 -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) 144/841) (-.f64 (*.f64 x 3) -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) -1728/24389) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 144/841 (*.f64 (*.f64 x 3) -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))))))) |
| 1× | egg-herbie |
| 1280× | associate-+r+ |
| 1224× | associate-+l+ |
| 906× | *-commutative |
| 652× | unswap-sqr |
| 534× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 946 |
| 1 | 224 | 934 |
| 2 | 918 | 930 |
| 3 | 3726 | 930 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
-12/29 |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(+.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29)) |
(+.f64 (*.f64 (*.f64 x 3) y) (*.f64 -12/29 y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 1) |
(pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y))) |
(+.f64 -12/29 (*.f64 x 3)) |
(+.f64 (*.f64 x 3) -12/29) |
(+.f64 (*.f64 (*.f64 x 3) 1) -12/29) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 -12/29))) 1) |
(*.f64 (fma.f64 x 3 -12/29) 1) |
(*.f64 1 (fma.f64 x 3 -12/29)) |
(*.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (fma.f64 x 3 -12/29))) |
(*.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29))) |
(/.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) 144/841) (-.f64 (*.f64 x 3) -12/29)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) -1728/24389) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 144/841 (*.f64 (*.f64 x 3) -12/29)))) |
(pow.f64 (fma.f64 x 3 -12/29) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3) |
(pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2)) |
(log.f64 (exp.f64 (fma.f64 x 3 -12/29))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 -12/29)))) |
(cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) |
(exp.f64 (log.f64 (fma.f64 x 3 -12/29))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) |
| Outputs |
|---|
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
-12/29 |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(+.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (*.f64 x 3) y) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 1) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3) |
(*.f64 y (fma.f64 3 x -12/29)) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 1)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 -12/29 (*.f64 x 3)) |
(fma.f64 3 x -12/29) |
(+.f64 (*.f64 x 3) -12/29) |
(fma.f64 3 x -12/29) |
(+.f64 (*.f64 (*.f64 x 3) 1) -12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 -12/29))) 1) |
(fma.f64 3 x -12/29) |
(*.f64 (fma.f64 x 3 -12/29) 1) |
(fma.f64 3 x -12/29) |
(*.f64 1 (fma.f64 x 3 -12/29)) |
(fma.f64 3 x -12/29) |
(*.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (fma.f64 x 3 -12/29))) |
(fma.f64 3 x -12/29) |
(*.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2)) |
(fma.f64 3 x -12/29) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29))) |
(fma.f64 3 x -12/29) |
(/.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) 144/841) (-.f64 (*.f64 x 3) -12/29)) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) 9) -144/841) (fma.f64 x 3 12/29)) |
(/.f64 (fma.f64 x (*.f64 9 x) -144/841) (fma.f64 3 x 12/29)) |
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) -1728/24389) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 144/841 (*.f64 (*.f64 x 3) -12/29)))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 27) -1728/24389) (-.f64 (+.f64 (*.f64 (*.f64 x x) 9) 144/841) (*.f64 x -36/29))) |
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (+.f64 (fma.f64 x (*.f64 9 x) 144/841) (*.f64 x 36/29))) |
(/.f64 (fma.f64 (pow.f64 x 3) 27 -1728/24389) (fma.f64 x (*.f64 x 9) (fma.f64 x 36/29 144/841))) |
(pow.f64 (fma.f64 x 3 -12/29) 1) |
(fma.f64 3 x -12/29) |
(pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2) |
(fma.f64 3 x -12/29) |
(pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3) |
(fma.f64 3 x -12/29) |
(pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3) |
(fma.f64 3 x -12/29) |
(sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2)) |
(fma.f64 3 x -12/29) |
(log.f64 (exp.f64 (fma.f64 x 3 -12/29))) |
(fma.f64 3 x -12/29) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 -12/29)))) |
(fma.f64 3 x -12/29) |
(cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3)) |
(fma.f64 3 x -12/29) |
(expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) |
(fma.f64 3 x -12/29) |
(exp.f64 (log.f64 (fma.f64 x 3 -12/29))) |
(fma.f64 3 x -12/29) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x 3 -12/29)) 1)) |
(fma.f64 3 x -12/29) |
(log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29))) |
(fma.f64 3 x -12/29) |
Compiled 6924 to 5144 computations (25.7% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 412 | 13 | 425 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 1 | 2 |
| Total | 413 | 15 | 428 |
| Status | Error | Program |
|---|---|---|
| 15.7b | (/.f64 (*.f64 (fma.f64 x x -16/841) -3) (/.f64 (-.f64 -4/29 x) y)) | |
| ▶ | 0.3b | (/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29))) |
| 0.5b | (+.f64 (*.f64 (*.f64 x 3) y) (*.f64 -12/29 y)) | |
| ✓ | 0.5b | (*.f64 (fma.f64 x 3 -12/29) y) |
| ▶ | 13.5b | (*.f64 (/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) (*.f64 3 y)) |
| 18.2b | (*.f64 (/.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))) y) | |
| 0.5b | (*.f64 (/.f64 3 (/.f64 1 (+.f64 x -4/29))) y) | |
| ▶ | 0.5b | (*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
| ✓ | 0.2b | (*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
| 32.9b | (*.f64 (*.f64 x 3) y) | |
| ▶ | 32.6b | (*.f64 x (*.f64 y 3)) |
| 0.3b | (*.f64 3 (*.f64 y (-.f64 x 4/29))) | |
| 32.6b | (*.f64 3 (*.f64 y x)) | |
| 30.1b | (*.f64 -4/29 (*.f64 3 y)) | |
| ▶ | 30.1b | (*.f64 -12/29 y) |
Compiled 285 to 217 computations (23.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x -4/29) | |
| ✓ | 0.0b | (/.f64 1 (+.f64 x -4/29)) |
| ✓ | 0.3b | (/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29))) |
Compiled 27 to 20 computations (25.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 x -4/29)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 x -4/29)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 x -4/29)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29))) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29))) |
| 1× | batch-egg-rewrite |
| 1498× | associate-/r* |
| 1308× | associate-/l* |
| 1054× | *-commutative |
| 588× | associate-/r/ |
| 394× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 1 | 239 | 32 |
| 2 | 3164 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29))) |
(/.f64 1 (+.f64 x -4/29)) |
| Outputs |
|---|
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4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 1 (-.f64 4/29 x)))) (sqrt.f64 (/.f64 1 (-.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 4/29 x))) (cbrt.f64 (/.f64 1 (-.f64 4/29 x))))) (cbrt.f64 (/.f64 1 (-.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 x -4/29) -1/2))) (pow.f64 (+.f64 x -4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -4/29) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (+.f64 x -4/29) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -4/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (-.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -4/29) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x -4/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -4/29)))))))) |
| 1× | egg-herbie |
| 1150× | associate-/l/ |
| 852× | unswap-sqr |
| 712× | associate-/r/ |
| 570× | *-commutative |
| 462× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 402 | 4857 |
| 1 | 1226 | 4221 |
| 2 | 4198 | 4207 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
-29/4 |
(-.f64 (*.f64 -841/16 x) 29/4) |
(-.f64 (+.f64 (*.f64 -841/16 x) (*.f64 -24389/64 (pow.f64 x 2))) 29/4) |
(-.f64 (+.f64 (*.f64 -841/16 x) (+.f64 (*.f64 -707281/256 (pow.f64 x 3)) (*.f64 -24389/64 (pow.f64 x 2)))) 29/4) |
(/.f64 1 x) |
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 (*.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 64/24389 (/.f64 1 (pow.f64 x 4)))))) |
(/.f64 1 x) |
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 (*.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 64/24389 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (*.f64 (*.f64 3 y) x) (*.f64 (*.f64 3 y) -4/29)) |
(+.f64 (*.f64 (*.f64 3 y) -4/29) (*.f64 (*.f64 3 y) x)) |
(+.f64 (*.f64 1 (*.f64 (*.f64 3 y) x)) (*.f64 1 (*.f64 (*.f64 3 y) -4/29))) |
(+.f64 (*.f64 1 (*.f64 (*.f64 3 y) -4/29)) (*.f64 1 (*.f64 (*.f64 3 y) x))) |
(+.f64 (*.f64 (/.f64 y -1/3) 4/29) (*.f64 (/.f64 y -1/3) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 y -1/3) (neg.f64 x)) (*.f64 (/.f64 y -1/3) 4/29)) |
(+.f64 (*.f64 (*.f64 (*.f64 3 y) x) 1) (*.f64 (*.f64 (*.f64 3 y) -4/29) 1)) |
(+.f64 (*.f64 (*.f64 (*.f64 3 y) -4/29) 1) (*.f64 (*.f64 (*.f64 3 y) x) 1)) |
(+.f64 (*.f64 4/29 (/.f64 y -1/3)) (*.f64 (neg.f64 x) (/.f64 y -1/3))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 y -1/3)) (*.f64 4/29 (/.f64 y -1/3))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) 1) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (+.f64 (*.f64 3 x) -12/29)) |
(*.f64 (*.f64 3 y) (+.f64 x -4/29)) |
(*.f64 1 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) |
(*.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 1) |
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) (sqrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) |
(*.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) (+.f64 x -4/29))) |
(*.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29)))) |
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 2)) |
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 2) (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) (+.f64 x -4/29))) |
(*.f64 (cbrt.f64 (+.f64 x -4/29)) (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) |
(*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
(*.f64 -1 (*.f64 (*.f64 3 y) (-.f64 4/29 x))) |
(*.f64 (-.f64 4/29 x) (*.f64 y -3)) |
(*.f64 (-.f64 4/29 x) (/.f64 y -1/3)) |
(*.f64 (*.f64 y -3) (-.f64 4/29 x)) |
(*.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 3 y)) (+.f64 x -4/29)) (sqrt.f64 (*.f64 3 y))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 3 y)) (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) |
(*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (*.f64 (*.f64 3 y) (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (*.f64 y (+.f64 x -4/29)) 3) |
(*.f64 (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2)) (*.f64 3 (sqrt.f64 (+.f64 x -4/29)))) |
(*.f64 (*.f64 (/.f64 y 1) (cbrt.f64 (+.f64 x -4/29))) (/.f64 3 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(*.f64 (*.f64 (*.f64 3 y) (cbrt.f64 (+.f64 x -4/29))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(*.f64 (+.f64 (*.f64 3 x) -12/29) y) |
(*.f64 (+.f64 (*.f64 3 x) -12/29) (/.f64 y 1)) |
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x)) |
(*.f64 -3 (*.f64 y (-.f64 4/29 x))) |
(*.f64 (*.f64 3 (sqrt.f64 (+.f64 x -4/29))) (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2))) |
(*.f64 (/.f64 3 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (*.f64 (/.f64 y 1) (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (/.f64 y 1) (+.f64 (*.f64 3 x) -12/29)) |
(*.f64 (/.f64 y (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (*.f64 3 (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (*.f64 3 (cbrt.f64 (+.f64 x -4/29))) (/.f64 y (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) 1) (*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) -1) (-.f64 4/29 x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) -1) (-.f64 4/29 x)) (sqrt.f64 (*.f64 3 y))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) -1) (-.f64 4/29 x)) (/.f64 (sqrt.f64 (*.f64 3 y)) 1)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) 1) (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) 1) (cbrt.f64 (+.f64 x -4/29))) (/.f64 (sqrt.f64 (*.f64 3 y)) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (*.f64 3 y)) 1) (+.f64 x -4/29))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 3 y)) 1) (+.f64 x -4/29)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (pow.f64 (+.f64 x -4/29) -1/2)) (/.f64 (cbrt.f64 (*.f64 3 y)) (pow.f64 (+.f64 x -4/29) -1/2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 3 y)) (pow.f64 (+.f64 x -4/29) -1/2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (pow.f64 (+.f64 x -4/29) -1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) |
(*.f64 (/.f64 (*.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29))) 1) (sqrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 (/.f64 y (*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 1/3)) 1) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 3 x) -12/29))) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (/.f64 1 (+.f64 x -4/29))) (cbrt.f64 (*.f64 3 y))) |
(*.f64 (/.f64 3 (/.f64 (/.f64 1 (+.f64 x -4/29)) (sqrt.f64 y))) (sqrt.f64 y)) |
(*.f64 (/.f64 3 (/.f64 1 (-.f64 4/29 x))) (neg.f64 y)) |
(*.f64 (/.f64 3 (/.f64 (/.f64 1 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 (*.f64 3 y) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (+.f64 x -4/29)))) (cbrt.f64 (*.f64 3 y))) |
(*.f64 (/.f64 (*.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 (/.f64 y (*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 1/3)) -1) (cbrt.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (fma.f64 x x -16/841)) (+.f64 x -4/29)) |
(*.f64 (/.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (-.f64 (pow.f64 x 3) -64/24389)) (+.f64 (+.f64 16/841 (*.f64 x x)) (*.f64 x -4/29))) |
(*.f64 (/.f64 (*.f64 (*.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 16/841 (*.f64 4/29 x)) (+.f64 16/841 (*.f64 4/29 x))))) (+.f64 (fma.f64 x x -16/841) (*.f64 x -4/29))) |
(*.f64 (/.f64 (*.f64 (*.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 16/841 (*.f64 4/29 x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 16/841 (*.f64 4/29 x)) (-.f64 (+.f64 16/841 (*.f64 4/29 x)) (*.f64 x x))))) |
(pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 1) |
(pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 3) |
(pow.f64 (pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 3) 1/3) |
(pow.f64 (/.f64 1/3 (*.f64 y (+.f64 x -4/29))) -1) |
(neg.f64 (*.f64 (*.f64 3 y) (-.f64 4/29 x))) |
(sqrt.f64 (pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) (+.f64 x -4/29))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))))) |
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 3 y) 3) (/.f64 1 (pow.f64 (+.f64 x -4/29) 3)))) |
(expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) |
(exp.f64 (log.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) |
(log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) |
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -16/841)) x) (*.f64 (/.f64 1 (fma.f64 x x -16/841)) 4/29)) |
(+.f64 (*.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (*.f64 4/29 x)))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (*.f64 4/29 x))) (*.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 x x))) |
(+.f64 (*.f64 x (/.f64 1 (fma.f64 x x -16/841))) (*.f64 4/29 (/.f64 1 (fma.f64 x x -16/841)))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3)))) (*.f64 (+.f64 16/841 (*.f64 4/29 x)) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))))) |
(+.f64 (*.f64 (+.f64 16/841 (*.f64 4/29 x)) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3)))) (*.f64 (*.f64 x x) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -4/29)))) 1) |
(*.f64 1 (/.f64 1 (+.f64 x -4/29))) |
(*.f64 (/.f64 1 (+.f64 x -4/29)) 1) |
(*.f64 (pow.f64 (+.f64 x -4/29) -1/2) (pow.f64 (+.f64 x -4/29) -1/2)) |
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x)))) |
(*.f64 (+.f64 x 4/29) (/.f64 1 (fma.f64 x x -16/841))) |
(*.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3)))) |
(*.f64 -1 (/.f64 1 (-.f64 4/29 x))) |
(*.f64 (/.f64 1 (-.f64 4/29 x)) -1) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x)))) |
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(*.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 x -4/29) -1/2)) (neg.f64 (pow.f64 (+.f64 x -4/29) -1/2))) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 1) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -4/29)) -1) (pow.f64 (sqrt.f64 (+.f64 x -4/29)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) -1)) |
(*.f64 (/.f64 (+.f64 x 4/29) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 256/707281)) (+.f64 16/841 (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 x 4/29) (-.f64 (pow.f64 (*.f64 x x) 3) 4096/594823321)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 256/707281 (*.f64 16/841 (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 4096/594823321)) (-.f64 (pow.f64 x 3) -64/24389)) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))) (+.f64 -262144/14507145975869 (pow.f64 (pow.f64 x 3) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 4096/594823321) (*.f64 -64/24389 (pow.f64 x 3)))) |
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x -16/841))) (neg.f64 (+.f64 x 4/29))) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 1 (-.f64 16/841 (*.f64 x x))) (-.f64 -4/29 x)) |
(*.f64 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (+.f64 x 4/29))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 x x -16/841))) (+.f64 x 4/29)) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (-.f64 4/29 x)))) (sqrt.f64 (/.f64 1 (-.f64 4/29 x)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 4/29 x))) (cbrt.f64 (/.f64 1 (-.f64 4/29 x))))) (cbrt.f64 (/.f64 1 (-.f64 4/29 x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 x -4/29) -1/2))) (pow.f64 (+.f64 x -4/29) -1/2)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x)))) |
(pow.f64 (/.f64 1 (+.f64 x -4/29)) 1) |
(pow.f64 (pow.f64 (+.f64 x -4/29) -1/2) 2) |
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (+.f64 x -4/29) 3)) 1/3) |
(pow.f64 (+.f64 x -4/29) -1) |
(neg.f64 (/.f64 1 (-.f64 4/29 x))) |
(sqrt.f64 (pow.f64 (+.f64 x -4/29) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -4/29)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -4/29))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x -4/29) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -4/29)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x -4/29)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -4/29)))) |
| Outputs |
|---|
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -12/29 y) |
(*.f64 y -12/29) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
-29/4 |
(-.f64 (*.f64 -841/16 x) 29/4) |
(fma.f64 -841/16 x -29/4) |
(fma.f64 x -841/16 -29/4) |
(-.f64 (+.f64 (*.f64 -841/16 x) (*.f64 -24389/64 (pow.f64 x 2))) 29/4) |
(+.f64 (fma.f64 -841/16 x (*.f64 -24389/64 (*.f64 x x))) -29/4) |
(fma.f64 x -841/16 (fma.f64 -24389/64 (*.f64 x x) -29/4)) |
(-.f64 (+.f64 (*.f64 -841/16 x) (+.f64 (*.f64 -707281/256 (pow.f64 x 3)) (*.f64 -24389/64 (pow.f64 x 2)))) 29/4) |
(+.f64 (fma.f64 -841/16 x (fma.f64 -707281/256 (pow.f64 x 3) (*.f64 -24389/64 (*.f64 x x)))) -29/4) |
(+.f64 (fma.f64 -24389/64 (*.f64 x x) (*.f64 -707281/256 (pow.f64 x 3))) (fma.f64 x -841/16 -29/4)) |
(+.f64 (fma.f64 x -841/16 -29/4) (*.f64 (*.f64 x x) (+.f64 -24389/64 (*.f64 x -707281/256)))) |
(/.f64 1 x) |
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 4/29 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 4/29 x) x)) |
(+.f64 (*.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(+.f64 (+.f64 (/.f64 16/841 (pow.f64 x 3)) (/.f64 4/29 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 4/29 (*.f64 x x))) (/.f64 16/841 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 4/29 x) x) (/.f64 16/841 (pow.f64 x 3)))) |
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 64/24389 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (+.f64 (/.f64 16/841 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 64/24389 (pow.f64 x 4)))) |
(+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 64/24389 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 4/29 x) x) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (/.f64 64/24389 (pow.f64 x 4))))) |
(/.f64 1 x) |
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 4/29 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 4/29 x) x)) |
(+.f64 (*.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(+.f64 (+.f64 (/.f64 16/841 (pow.f64 x 3)) (/.f64 4/29 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 4/29 (*.f64 x x))) (/.f64 16/841 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 4/29 x) x) (/.f64 16/841 (pow.f64 x 3)))) |
(+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 16/841 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 64/24389 (/.f64 1 (pow.f64 x 4)))))) |
(+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (+.f64 (/.f64 16/841 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 64/24389 (pow.f64 x 4)))) |
(+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 64/24389 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 4/29 x) x) (+.f64 (/.f64 16/841 (pow.f64 x 3)) (/.f64 64/24389 (pow.f64 x 4))))) |
(+.f64 (*.f64 (*.f64 3 y) x) (*.f64 (*.f64 3 y) -4/29)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (*.f64 3 y) -4/29) (*.f64 (*.f64 3 y) x)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 1 (*.f64 (*.f64 3 y) x)) (*.f64 1 (*.f64 (*.f64 3 y) -4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 1 (*.f64 (*.f64 3 y) -4/29)) (*.f64 1 (*.f64 (*.f64 3 y) x))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (/.f64 y -1/3) 4/29) (*.f64 (/.f64 y -1/3) (neg.f64 x))) |
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x)) |
(+.f64 (*.f64 (/.f64 y -1/3) (neg.f64 x)) (*.f64 (/.f64 y -1/3) 4/29)) |
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x)) |
(+.f64 (*.f64 (*.f64 (*.f64 3 y) x) 1) (*.f64 (*.f64 (*.f64 3 y) -4/29) 1)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (*.f64 (*.f64 3 y) -4/29) 1) (*.f64 (*.f64 (*.f64 3 y) x) 1)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 4/29 (/.f64 y -1/3)) (*.f64 (neg.f64 x) (/.f64 y -1/3))) |
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 y -1/3)) (*.f64 4/29 (/.f64 y -1/3))) |
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) 1) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 y (+.f64 (*.f64 3 x) -12/29)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (*.f64 3 y) (+.f64 x -4/29)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 1 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 1) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) (sqrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) (+.f64 x -4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29)))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 2)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 y (*.f64 (+.f64 x -4/29) 3))) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) |
(*.f64 (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(/.f64 (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 2) (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) (+.f64 x -4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (cbrt.f64 (+.f64 x -4/29)) (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -1 (*.f64 (*.f64 3 y) (-.f64 4/29 x))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 4/29 x) (*.f64 y -3)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 4/29 x) (/.f64 y -1/3)) |
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x)) |
(*.f64 (*.f64 y -3) (-.f64 4/29 x)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 x -4/29))) |
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(*.f64 (*.f64 (sqrt.f64 (*.f64 3 y)) (+.f64 x -4/29)) (sqrt.f64 (*.f64 3 y))) |
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(*.f64 (*.f64 (cbrt.f64 (*.f64 3 y)) (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) |
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(*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 x -4/29))) |
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(*.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 (*.f64 3 y) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(*.f64 (*.f64 y (+.f64 x -4/29)) 3) |
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(*.f64 (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2)) (*.f64 3 (sqrt.f64 (+.f64 x -4/29)))) |
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(*.f64 (*.f64 (*.f64 3 y) (cbrt.f64 (+.f64 x -4/29))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
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(*.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 (*.f64 3 y) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(*.f64 (+.f64 (*.f64 3 x) -12/29) y) |
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(*.f64 (+.f64 (*.f64 3 x) -12/29) (/.f64 y 1)) |
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(*.f64 (*.f64 3 (sqrt.f64 (+.f64 x -4/29))) (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2))) |
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(*.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 3 (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2)))) |
(*.f64 (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2)) (*.f64 3 (sqrt.f64 (+.f64 x -4/29)))) |
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(*.f64 (*.f64 3 y) (*.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))) |
(*.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 (*.f64 3 y) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
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(*.f64 (/.f64 y (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (*.f64 3 (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (*.f64 3 y) (*.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))) |
(*.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 (*.f64 3 y) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(*.f64 (*.f64 3 (cbrt.f64 (+.f64 x -4/29))) (/.f64 y (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(*.f64 (*.f64 3 y) (*.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))) |
(*.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 (*.f64 3 y) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) 1) (*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) -1) (-.f64 4/29 x))) |
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(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) -1) (-.f64 4/29 x)) (sqrt.f64 (*.f64 3 y))) |
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(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) -1) (-.f64 4/29 x)) (/.f64 (sqrt.f64 (*.f64 3 y)) 1)) |
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(*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) 1) (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (*.f64 3 y) (*.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))) |
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(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) 1) (cbrt.f64 (+.f64 x -4/29))) (/.f64 (sqrt.f64 (*.f64 3 y)) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(*.f64 (*.f64 3 y) (*.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))) |
(*.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 (*.f64 3 y) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (*.f64 3 y)) 1) (+.f64 x -4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 3 y)) 1) (+.f64 x -4/29)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) 1)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (pow.f64 (+.f64 x -4/29) -1/2)) (/.f64 (cbrt.f64 (*.f64 3 y)) (pow.f64 (+.f64 x -4/29) -1/2))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 3 y)) (pow.f64 (+.f64 x -4/29) -1/2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (pow.f64 (+.f64 x -4/29) -1/2))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 y (*.f64 (+.f64 x -4/29) 3))) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) |
(*.f64 (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(/.f64 (cbrt.f64 (*.f64 y (fma.f64 3 x -12/29))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2))) |
(*.f64 (/.f64 (*.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29))) 1) (sqrt.f64 (+.f64 x -4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (/.f64 y (*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 1/3)) 1) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 (*.f64 3 y) (*.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))))) |
(*.f64 (cbrt.f64 (+.f64 x -4/29)) (/.f64 (*.f64 3 y) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) |
(*.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 3 x) -12/29))) y) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (/.f64 1 (+.f64 x -4/29))) (cbrt.f64 (*.f64 3 y))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 3 (/.f64 (/.f64 1 (+.f64 x -4/29)) (sqrt.f64 y))) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 3 (/.f64 1 (+.f64 x -4/29))) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 3 (+.f64 x -4/29)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 (-.f64 4/29 x) -3))) |
(*.f64 (/.f64 3 (/.f64 1 (-.f64 4/29 x))) (neg.f64 y)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 3 (/.f64 (/.f64 1 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (cbrt.f64 y) (*.f64 (/.f64 3 (/.f64 1 (+.f64 x -4/29))) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 y) (*.f64 3 (*.f64 (+.f64 x -4/29) (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (*.f64 3 y) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (+.f64 x -4/29)))) (cbrt.f64 (*.f64 3 y))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (*.f64 (*.f64 3 y) (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 (*.f64 3 y) (/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (-.f64 4/29 x))) |
(/.f64 (*.f64 y (*.f64 3 (sqrt.f64 (+.f64 x -4/29)))) (/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 4/29 x)))) |
(*.f64 (/.f64 (/.f64 y (*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 1/3)) -1) (cbrt.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 y (*.f64 -1 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 1/3))) (cbrt.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 y (*.f64 -1/3 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) (cbrt.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 (/.f64 y (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) -1/3) (cbrt.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (fma.f64 x x -16/841)) (+.f64 x -4/29)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (*.f64 (*.f64 3 y) (fma.f64 x x -16/841)) (-.f64 (pow.f64 x 3) -64/24389)) (+.f64 (+.f64 16/841 (*.f64 x x)) (*.f64 x -4/29))) |
(*.f64 (/.f64 (*.f64 3 y) (/.f64 (+.f64 (pow.f64 x 3) 64/24389) (fma.f64 x x -16/841))) (+.f64 16/841 (+.f64 (*.f64 x x) (*.f64 x -4/29)))) |
(*.f64 (/.f64 (*.f64 3 (*.f64 y (fma.f64 x x -16/841))) (+.f64 (pow.f64 x 3) 64/24389)) (fma.f64 x -4/29 (fma.f64 x x 16/841))) |
(*.f64 (*.f64 (/.f64 (*.f64 3 y) (+.f64 (pow.f64 x 3) 64/24389)) (fma.f64 x x -16/841)) (fma.f64 x -4/29 (fma.f64 x x 16/841))) |
(*.f64 (/.f64 (*.f64 (*.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 16/841 (*.f64 4/29 x)) (+.f64 16/841 (*.f64 4/29 x))))) (+.f64 (fma.f64 x x -16/841) (*.f64 x -4/29))) |
(*.f64 (/.f64 (*.f64 3 y) (/.f64 (-.f64 (pow.f64 x 4) (*.f64 (+.f64 16/841 (*.f64 x 4/29)) (+.f64 16/841 (*.f64 x 4/29)))) (+.f64 (pow.f64 x 3) -64/24389))) (+.f64 (fma.f64 x x -16/841) (*.f64 x -4/29))) |
(*.f64 (/.f64 (*.f64 3 y) (/.f64 (-.f64 (pow.f64 x 4) (*.f64 (fma.f64 x 4/29 16/841) (fma.f64 x 4/29 16/841))) (+.f64 (pow.f64 x 3) -64/24389))) (fma.f64 x -4/29 (fma.f64 x x -16/841))) |
(*.f64 (*.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 x 4) (*.f64 (fma.f64 x 4/29 16/841) (fma.f64 x 4/29 16/841))) 1/3)) (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x -4/29 (fma.f64 x x -16/841))) |
(*.f64 (/.f64 (*.f64 (*.f64 3 y) (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 16/841 (*.f64 4/29 x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 16/841 (*.f64 4/29 x)) (-.f64 (+.f64 16/841 (*.f64 4/29 x)) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 3 y) (/.f64 (+.f64 (pow.f64 (+.f64 16/841 (*.f64 x 4/29)) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 3) -64/24389))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 16/841 (*.f64 x 4/29)) (+.f64 16/841 (-.f64 (*.f64 x 4/29) (*.f64 x x)))))) |
(*.f64 (*.f64 (/.f64 (*.f64 3 y) (+.f64 (pow.f64 (fma.f64 x 4/29 16/841) 3) (pow.f64 x 6))) (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 (fma.f64 x 4/29 16/841) (+.f64 16/841 (*.f64 x (-.f64 4/29 x))) (pow.f64 x 4))) |
(/.f64 (*.f64 3 (*.f64 (*.f64 y (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 (fma.f64 x 4/29 16/841) (+.f64 16/841 (*.f64 x (-.f64 4/29 x))) (pow.f64 x 4)))) (+.f64 (pow.f64 (fma.f64 x 4/29 16/841) 3) (pow.f64 x 6))) |
(pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 1) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 2) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))) 3) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 3) 1/3) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (/.f64 1/3 (*.f64 y (+.f64 x -4/29))) -1) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(neg.f64 (*.f64 (*.f64 3 y) (-.f64 4/29 x))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(sqrt.f64 (pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 x -4/29) 3)) 2)) |
(fabs.f64 (*.f64 y (fma.f64 3 x -12/29))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) (+.f64 x -4/29))) |
(*.f64 (+.f64 x -4/29) (log.f64 (pow.f64 (exp.f64 3) y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29)))))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))) 3)) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
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(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(exp.f64 (log.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y (+.f64 x -4/29))))) |
(*.f64 y (*.f64 (+.f64 x -4/29) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -16/841)) x) (*.f64 (/.f64 1 (fma.f64 x x -16/841)) 4/29)) |
(/.f64 (*.f64 1 (+.f64 x 4/29)) (fma.f64 x x -16/841)) |
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) |
(+.f64 (*.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (*.f64 4/29 x)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (+.f64 16/841 (*.f64 x 4/29)) (*.f64 x x))) |
(/.f64 (fma.f64 x (+.f64 x 4/29) 16/841) (+.f64 (pow.f64 x 3) -64/24389)) |
(+.f64 (*.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (*.f64 4/29 x))) (*.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 x x))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (+.f64 16/841 (*.f64 x 4/29)) (*.f64 x x))) |
(/.f64 (fma.f64 x (+.f64 x 4/29) 16/841) (+.f64 (pow.f64 x 3) -64/24389)) |
(+.f64 (*.f64 x (/.f64 1 (fma.f64 x x -16/841))) (*.f64 4/29 (/.f64 1 (fma.f64 x x -16/841)))) |
(/.f64 (*.f64 1 (+.f64 x 4/29)) (fma.f64 x x -16/841)) |
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3)))) (*.f64 (+.f64 16/841 (*.f64 4/29 x)) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (+.f64 16/841 (*.f64 x 4/29)) (*.f64 x x))) |
(/.f64 (fma.f64 x (+.f64 x 4/29) 16/841) (+.f64 (pow.f64 x 3) -64/24389)) |
(+.f64 (*.f64 (+.f64 16/841 (*.f64 4/29 x)) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3)))) (*.f64 (*.f64 x x) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (+.f64 16/841 (*.f64 x 4/29)) (*.f64 x x))) |
(/.f64 (fma.f64 x (+.f64 x 4/29) 16/841) (+.f64 (pow.f64 x 3) -64/24389)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -4/29)))) 1) |
(/.f64 1 (+.f64 x -4/29)) |
(*.f64 1 (/.f64 1 (+.f64 x -4/29))) |
(/.f64 1 (+.f64 x -4/29)) |
(*.f64 (/.f64 1 (+.f64 x -4/29)) 1) |
(/.f64 1 (+.f64 x -4/29)) |
(*.f64 (pow.f64 (+.f64 x -4/29) -1/2) (pow.f64 (+.f64 x -4/29) -1/2)) |
(/.f64 1 (+.f64 x -4/29)) |
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) |
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (cbrt.f64 (-.f64 4/29 x))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x)))) |
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (cbrt.f64 (-.f64 4/29 x))) |
(*.f64 (+.f64 x 4/29) (/.f64 1 (fma.f64 x x -16/841))) |
(/.f64 (*.f64 1 (+.f64 x 4/29)) (fma.f64 x x -16/841)) |
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) |
(*.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))) (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (+.f64 16/841 (*.f64 x 4/29)) (*.f64 x x))) |
(/.f64 (fma.f64 x (+.f64 x 4/29) 16/841) (+.f64 (pow.f64 x 3) -64/24389)) |
(*.f64 -1 (/.f64 1 (-.f64 4/29 x))) |
(/.f64 -1 (-.f64 4/29 x)) |
(*.f64 (/.f64 1 (-.f64 4/29 x)) -1) |
(/.f64 -1 (-.f64 4/29 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x)))) |
(/.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) |
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (*.f64 1 (+.f64 x 4/29)) (fma.f64 x x -16/841)) |
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) |
(*.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (+.f64 16/841 (*.f64 x 4/29)) (*.f64 x x))) |
(/.f64 (fma.f64 x (+.f64 x 4/29) 16/841) (+.f64 (pow.f64 x 3) -64/24389)) |
(*.f64 (neg.f64 (pow.f64 (+.f64 x -4/29) -1/2)) (neg.f64 (pow.f64 (+.f64 x -4/29) -1/2))) |
(/.f64 1 (+.f64 x -4/29)) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))))) |
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (cbrt.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 1) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x)))) |
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (cbrt.f64 (-.f64 4/29 x))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -4/29)) -1) (pow.f64 (sqrt.f64 (+.f64 x -4/29)) -1)) |
(pow.f64 (sqrt.f64 (+.f64 x -4/29)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) -1)) |
(/.f64 1 (+.f64 x -4/29)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) -1)) |
(/.f64 1 (+.f64 x -4/29)) |
(*.f64 (/.f64 (+.f64 x 4/29) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 256/707281)) (+.f64 16/841 (*.f64 x x))) |
(*.f64 (+.f64 16/841 (*.f64 x x)) (/.f64 (+.f64 x 4/29) (+.f64 (pow.f64 x 4) -256/707281))) |
(*.f64 (fma.f64 x x 16/841) (/.f64 (+.f64 x 4/29) (+.f64 (pow.f64 x 4) -256/707281))) |
(/.f64 (*.f64 (fma.f64 x x 16/841) (+.f64 x 4/29)) (+.f64 (pow.f64 x 4) -256/707281)) |
(*.f64 (/.f64 (+.f64 x 4/29) (-.f64 (pow.f64 (*.f64 x x) 3) 4096/594823321)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 256/707281 (*.f64 16/841 (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 x 4/29) (+.f64 (pow.f64 x 6) -4096/594823321)) (+.f64 (pow.f64 x 4) (+.f64 256/707281 (*.f64 16/841 (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 x 4/29) (+.f64 (pow.f64 x 6) -4096/594823321)) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281))) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 4096/594823321)) (-.f64 (pow.f64 x 3) -64/24389)) |
(*.f64 (+.f64 (pow.f64 x 3) 64/24389) (/.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))) (+.f64 (pow.f64 x 6) -4096/594823321))) |
(*.f64 (+.f64 (pow.f64 x 3) 64/24389) (/.f64 (fma.f64 x (+.f64 x 4/29) 16/841) (+.f64 (pow.f64 x 6) -4096/594823321))) |
(/.f64 (fma.f64 x (+.f64 x 4/29) 16/841) (/.f64 (+.f64 (pow.f64 x 6) -4096/594823321) (+.f64 (pow.f64 x 3) 64/24389))) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))) (+.f64 -262144/14507145975869 (pow.f64 (pow.f64 x 3) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 4096/594823321) (*.f64 -64/24389 (pow.f64 x 3)))) |
(*.f64 (/.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))) (+.f64 -262144/14507145975869 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 x 6) (-.f64 4096/594823321 (*.f64 (pow.f64 x 3) -64/24389)))) |
(*.f64 (/.f64 (fma.f64 x (+.f64 x 4/29) 16/841) (+.f64 -262144/14507145975869 (pow.f64 (pow.f64 x 3) 3))) (+.f64 4096/594823321 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 64/24389)))) |
(*.f64 (/.f64 (fma.f64 x (+.f64 x 4/29) 16/841) (+.f64 -262144/14507145975869 (pow.f64 (pow.f64 x 3/2) 6))) (+.f64 4096/594823321 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 64/24389)))) |
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x -16/841))) (neg.f64 (+.f64 x 4/29))) |
(/.f64 (*.f64 1 (+.f64 x 4/29)) (fma.f64 x x -16/841)) |
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (+.f64 16/841 (*.f64 x 4/29)) (*.f64 x x))) |
(/.f64 (fma.f64 x (+.f64 x 4/29) 16/841) (+.f64 (pow.f64 x 3) -64/24389)) |
(*.f64 (/.f64 1 (-.f64 16/841 (*.f64 x x))) (-.f64 -4/29 x)) |
(/.f64 (*.f64 1 (+.f64 x 4/29)) (fma.f64 x x -16/841)) |
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) |
(*.f64 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (+.f64 x 4/29))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (sqrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (sqrt.f64 (fma.f64 x (+.f64 x 4/29) 16/841))) |
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 x x -16/841))) (+.f64 x 4/29)) |
(/.f64 (*.f64 1 (+.f64 x 4/29)) (fma.f64 x x -16/841)) |
(/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841)) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (+.f64 16/841 (*.f64 x 4/29)) (*.f64 x x))) |
(/.f64 (fma.f64 x (+.f64 x 4/29) 16/841) (+.f64 (pow.f64 x 3) -64/24389)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -16/841))) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 x 4/29))) |
(/.f64 (/.f64 (cbrt.f64 (+.f64 x 4/29)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x (+.f64 x 4/29) 16/841)) 1) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)))) |
(/.f64 (/.f64 (cbrt.f64 (fma.f64 x (+.f64 x 4/29) 16/841)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (-.f64 4/29 x)))) (sqrt.f64 (/.f64 1 (-.f64 4/29 x)))) |
(/.f64 -1 (-.f64 4/29 x)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 4/29 x))) (cbrt.f64 (/.f64 1 (-.f64 4/29 x))))) (cbrt.f64 (/.f64 1 (-.f64 4/29 x)))) |
(/.f64 -1 (-.f64 4/29 x)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 x -4/29) -1/2))) (pow.f64 (+.f64 x -4/29) -1/2)) |
(/.f64 1 (+.f64 x -4/29)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) (/.f64 -1 (cbrt.f64 (-.f64 4/29 x)))) |
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (cbrt.f64 (-.f64 4/29 x))) |
(pow.f64 (/.f64 1 (+.f64 x -4/29)) 1) |
(/.f64 1 (+.f64 x -4/29)) |
(pow.f64 (pow.f64 (+.f64 x -4/29) -1/2) 2) |
(/.f64 1 (+.f64 x -4/29)) |
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 4/29 x))) 3) |
(/.f64 -1 (-.f64 4/29 x)) |
(pow.f64 (/.f64 1 (pow.f64 (+.f64 x -4/29) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x -4/29) 3))) |
(pow.f64 (+.f64 x -4/29) -1) |
(/.f64 1 (+.f64 x -4/29)) |
(neg.f64 (/.f64 1 (-.f64 4/29 x))) |
(/.f64 -1 (-.f64 4/29 x)) |
(sqrt.f64 (pow.f64 (+.f64 x -4/29) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -4/29)))) |
(/.f64 1 (+.f64 x -4/29)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -4/29))))) |
(/.f64 1 (+.f64 x -4/29)) |
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x -4/29) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -4/29)))) |
(/.f64 1 (+.f64 x -4/29)) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x -4/29)))) |
(/.f64 1 (+.f64 x -4/29)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -4/29)))) |
(/.f64 1 (+.f64 x -4/29)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 -12/29 y) |
Compiled 7 to 5 computations (28.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (*.f64 -12/29 y) |
| 0.0ms | y | @ | -inf | (*.f64 -12/29 y) |
| 0.0ms | y | @ | 0 | (*.f64 -12/29 y) |
| 1× | batch-egg-rewrite |
| 922× | associate-*l* |
| 904× | add-sqr-sqrt |
| 884× | *-un-lft-identity |
| 842× | pow1 |
| 828× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 100 | 7 |
| 2 | 1112 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -12/29 y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -12/29 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -12/29 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -12/29 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -12/29 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -12/29 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 144/841 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -12/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -12/29 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -12/29 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -12/29 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -12/29 y))))))) |
| 1× | egg-herbie |
| 846× | log-prod |
| 814× | +-commutative |
| 770× | associate-+r- |
| 696× | fma-def |
| 670× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 143 |
| 1 | 83 | 77 |
| 2 | 260 | 77 |
| 3 | 1802 | 77 |
| 4 | 4058 | 77 |
| 5 | 6514 | 77 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 -12/29 y) 1) 1) |
(pow.f64 (*.f64 -12/29 y) 1) |
(pow.f64 (sqrt.f64 (*.f64 -12/29 y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -12/29 y)) 3) |
(pow.f64 (pow.f64 (*.f64 -12/29 y) 3) 1/3) |
(sqrt.f64 (*.f64 144/841 (*.f64 y y))) |
(log.f64 (pow.f64 (exp.f64 -12/29) y)) |
(cbrt.f64 (pow.f64 (*.f64 -12/29 y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -12/29 y))) |
(exp.f64 (log.f64 (*.f64 -12/29 y))) |
(log1p.f64 (expm1.f64 (*.f64 -12/29 y))) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 -12/29 y) 1) 1) |
(+.f64 (*.f64 -12/29 y) 0) |
(*.f64 -12/29 y) |
(pow.f64 (*.f64 -12/29 y) 1) |
(+.f64 (*.f64 -12/29 y) 0) |
(*.f64 -12/29 y) |
(pow.f64 (sqrt.f64 (*.f64 -12/29 y)) 2) |
(+.f64 (*.f64 -12/29 y) 0) |
(*.f64 -12/29 y) |
(pow.f64 (cbrt.f64 (*.f64 -12/29 y)) 3) |
(+.f64 (*.f64 -12/29 y) 0) |
(*.f64 -12/29 y) |
(pow.f64 (pow.f64 (*.f64 -12/29 y) 3) 1/3) |
(+.f64 (*.f64 -12/29 y) 0) |
(*.f64 -12/29 y) |
(sqrt.f64 (*.f64 144/841 (*.f64 y y))) |
(+.f64 (*.f64 -12/29 y) 0) |
(*.f64 -12/29 y) |
(log.f64 (pow.f64 (exp.f64 -12/29) y)) |
(+.f64 (*.f64 -12/29 y) 0) |
(*.f64 -12/29 y) |
(cbrt.f64 (pow.f64 (*.f64 -12/29 y) 3)) |
(+.f64 (*.f64 -12/29 y) 0) |
(*.f64 -12/29 y) |
(expm1.f64 (log1p.f64 (*.f64 -12/29 y))) |
(+.f64 (*.f64 -12/29 y) 0) |
(*.f64 -12/29 y) |
(exp.f64 (log.f64 (*.f64 -12/29 y))) |
(+.f64 (*.f64 -12/29 y) 0) |
(*.f64 -12/29 y) |
(log1p.f64 (expm1.f64 (*.f64 -12/29 y))) |
(+.f64 (*.f64 -12/29 y) 0) |
(*.f64 -12/29 y) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (*.f64 y 3)) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (*.f64 y 3)) |
| 0.0ms | y | @ | 0 | (*.f64 x (*.f64 y 3)) |
| 0.0ms | y | @ | inf | (*.f64 x (*.f64 y 3)) |
| 0.0ms | x | @ | inf | (*.f64 x (*.f64 y 3)) |
| 0.0ms | y | @ | -inf | (*.f64 x (*.f64 y 3)) |
| 1× | batch-egg-rewrite |
| 1322× | add-sqr-sqrt |
| 1308× | *-un-lft-identity |
| 1214× | add-cube-cbrt |
| 1196× | add-cbrt-cube |
| 1182× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 141 | 13 |
| 2 | 1637 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (*.f64 y 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 y 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 y 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 y 3)))))))) |
| 1× | egg-herbie |
| 984× | *-commutative |
| 964× | log-prod |
| 896× | associate-*r* |
| 800× | associate-*l* |
| 762× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 455 |
| 1 | 87 | 455 |
| 2 | 336 | 455 |
| 3 | 2306 | 455 |
| 4 | 6480 | 455 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 y 3))) 1) |
(pow.f64 (*.f64 x (*.f64 y 3)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y 3))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y 3)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 y 3)))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y 3)))) |
| Outputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 y 3))) 1) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (*.f64 x (*.f64 y 3)) 1) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y 3))) 2) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) 3) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 3) 1/3) |
(*.f64 3 (*.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 2)) |
(*.f64 3 (*.f64 y x)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x)) |
(*.f64 3 (*.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 3)) |
(*.f64 3 (*.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y 3)))) |
(*.f64 3 (*.f64 y x)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 y 3)))) |
(*.f64 3 (*.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y 3)))) |
(*.f64 3 (*.f64 y x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 3 x) 12/29) |
| ✓ | 0.5b | (*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
Compiled 21 to 15 computations (28.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
| 0.0ms | x | @ | -inf | (*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
| 0.0ms | x | @ | inf | (*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
| 0.0ms | x | @ | 0 | (*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
| 0.0ms | y | @ | inf | (*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
| 1× | batch-egg-rewrite |
| 1924× | add-sqr-sqrt |
| 1892× | *-un-lft-identity |
| 1776× | add-cube-cbrt |
| 1758× | add-cbrt-cube |
| 186× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 1 | 194 | 24 |
| 2 | 2329 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(-.f64 (*.f64 3 x) 12/29) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 3 x)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) y) (*.f64 -12/29 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 3 x -12/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (*.f64 9 (*.f64 x x)) -144/841)) (fma.f64 3 x 12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) y) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 3 x -12/29) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 3 x -12/29) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 3 x -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 3 x -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 3 x -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 3 x -12/29) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 3 x -12/29) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x -12/29)) (sqrt.f64 (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x -12/29)) (pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 2) (cbrt.f64 (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) (/.f64 1 (fma.f64 3 x 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) (/.f64 1 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (*.f64 9 (*.f64 x x)) -144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))) (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) (fma.f64 3 x 12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) (+.f64 (*.f64 9 (*.f64 x x)) (-.f64 144/841 (*.f64 (*.f64 3 x) -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841)) (neg.f64 (fma.f64 3 x 12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389)) (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 x -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3 x -12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) -12/29))))) |
| 1× | egg-herbie |
| 1422× | associate-+r+ |
| 1344× | associate-+l+ |
| 832× | associate-/l* |
| 684× | unswap-sqr |
| 420× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 1240 |
| 1 | 296 | 1152 |
| 2 | 1090 | 1152 |
| 3 | 3891 | 1152 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
-12/29 |
(*.f64 3 x) |
(*.f64 3 x) |
(+.f64 (*.f64 y (*.f64 3 x)) (*.f64 y -12/29)) |
(+.f64 (*.f64 (*.f64 3 x) y) (*.f64 -12/29 y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 3 x -12/29) y))) 1) |
(/.f64 (*.f64 y (+.f64 (*.f64 9 (*.f64 x x)) -144/841)) (fma.f64 3 x 12/29)) |
(/.f64 (*.f64 y (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29)))) |
(/.f64 (*.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29)) |
(/.f64 (*.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) y) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29)))) |
(pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 1) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 3 x -12/29) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 3 x -12/29) y)) 3) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 3 x -12/29))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 3 x -12/29) y)))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 3 x -12/29) y))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 3 x -12/29) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 3 x -12/29) y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 3 x -12/29) y))) |
(+.f64 (*.f64 3 x) -12/29) |
(+.f64 -12/29 (*.f64 3 x)) |
(*.f64 (fma.f64 3 x -12/29) 1) |
(*.f64 1 (fma.f64 3 x -12/29)) |
(*.f64 (sqrt.f64 (fma.f64 3 x -12/29)) (sqrt.f64 (fma.f64 3 x -12/29))) |
(*.f64 (cbrt.f64 (fma.f64 3 x -12/29)) (pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 2) (cbrt.f64 (fma.f64 3 x -12/29))) |
(*.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) (/.f64 1 (fma.f64 3 x 12/29))) |
(*.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) (/.f64 1 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))) |
(/.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (*.f64 9 (*.f64 x x)) -144/841))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))) (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389))) |
(/.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) (fma.f64 3 x 12/29)) |
(/.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29)) |
(/.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29)))) |
(/.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) (+.f64 (*.f64 9 (*.f64 x x)) (-.f64 144/841 (*.f64 (*.f64 3 x) -12/29)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841)) (neg.f64 (fma.f64 3 x 12/29))) |
(/.f64 (neg.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389)) (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))) |
(pow.f64 (fma.f64 3 x -12/29) 1) |
(pow.f64 (sqrt.f64 (fma.f64 3 x -12/29)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 3) |
(pow.f64 (pow.f64 (fma.f64 3 x -12/29) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 3 x -12/29) 2)) |
(log.f64 (exp.f64 (fma.f64 3 x -12/29))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 x -12/29)))) |
(cbrt.f64 (pow.f64 (fma.f64 3 x -12/29) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 3 x -12/29))) |
(exp.f64 (log.f64 (fma.f64 3 x -12/29))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 3 x -12/29)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 3 x -12/29))) |
(fma.f64 3 x -12/29) |
(fma.f64 x 3 -12/29) |
(fma.f64 1 (*.f64 3 x) -12/29) |
(fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) -12/29) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) -12/29) |
| Outputs |
|---|
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(*.f64 x (*.f64 y 3)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(*.f64 x (*.f64 y 3)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
-12/29 |
(*.f64 3 x) |
(*.f64 3 x) |
(+.f64 (*.f64 y (*.f64 3 x)) (*.f64 y -12/29)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (*.f64 3 x) y) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 3 x -12/29) y))) 1) |
(*.f64 y (fma.f64 3 x -12/29)) |
(/.f64 (*.f64 y (+.f64 (*.f64 9 (*.f64 x x)) -144/841)) (fma.f64 3 x 12/29)) |
(/.f64 (fma.f64 9 (*.f64 x x) -144/841) (/.f64 (fma.f64 3 x 12/29) y)) |
(*.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (*.f64 x x) -144/841)) |
(*.f64 (fma.f64 x (*.f64 x 9) -144/841) (/.f64 y (fma.f64 3 x 12/29))) |
(/.f64 (*.f64 y (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389)) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29)))) |
(/.f64 y (/.f64 (fma.f64 9 (*.f64 x x) (+.f64 144/841 (*.f64 x 36/29))) (fma.f64 27 (pow.f64 x 3) -1728/24389))) |
(/.f64 y (/.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841)) (fma.f64 27 (pow.f64 x 3) -1728/24389))) |
(*.f64 y (/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841)))) |
(/.f64 (*.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) y) (fma.f64 3 x 12/29)) |
(/.f64 (fma.f64 9 (*.f64 x x) -144/841) (/.f64 (fma.f64 3 x 12/29) y)) |
(*.f64 (/.f64 y (fma.f64 3 x 12/29)) (fma.f64 9 (*.f64 x x) -144/841)) |
(*.f64 (fma.f64 x (*.f64 x 9) -144/841) (/.f64 y (fma.f64 3 x 12/29))) |
(/.f64 (*.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) y) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29)))) |
(/.f64 y (/.f64 (fma.f64 9 (*.f64 x x) (+.f64 144/841 (*.f64 x 36/29))) (fma.f64 27 (pow.f64 x 3) -1728/24389))) |
(/.f64 y (/.f64 (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841)) (fma.f64 27 (pow.f64 x 3) -1728/24389))) |
(*.f64 y (/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841)))) |
(pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 1) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 3 x -12/29) y)) 2) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 3 x -12/29) y)) 3) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 3) 1/3) |
(*.f64 y (fma.f64 3 x -12/29)) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 2)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 3 x -12/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 3 x -12/29) y)))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 3 x -12/29) y) 3)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 3 x -12/29) y))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(exp.f64 (log.f64 (*.f64 (fma.f64 3 x -12/29) y))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 3 x -12/29) y)) 1)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 3 x -12/29) y))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 x) -12/29) |
(fma.f64 3 x -12/29) |
(+.f64 -12/29 (*.f64 3 x)) |
(fma.f64 3 x -12/29) |
(*.f64 (fma.f64 3 x -12/29) 1) |
(fma.f64 3 x -12/29) |
(*.f64 1 (fma.f64 3 x -12/29)) |
(fma.f64 3 x -12/29) |
(*.f64 (sqrt.f64 (fma.f64 3 x -12/29)) (sqrt.f64 (fma.f64 3 x -12/29))) |
(fma.f64 3 x -12/29) |
(*.f64 (cbrt.f64 (fma.f64 3 x -12/29)) (pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 2)) |
(fma.f64 3 x -12/29) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 2) (cbrt.f64 (fma.f64 3 x -12/29))) |
(fma.f64 3 x -12/29) |
(*.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) (/.f64 1 (fma.f64 3 x 12/29))) |
(*.f64 (fma.f64 9 (*.f64 x x) -144/841) (/.f64 1 (fma.f64 3 x 12/29))) |
(/.f64 (fma.f64 9 (*.f64 x x) -144/841) (fma.f64 3 x 12/29)) |
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29)) |
(*.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) (/.f64 1 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))) |
(*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (/.f64 1 (fma.f64 9 (*.f64 x x) (+.f64 144/841 (*.f64 x 36/29))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) |
(/.f64 1 (/.f64 (fma.f64 3 x 12/29) (+.f64 (*.f64 9 (*.f64 x x)) -144/841))) |
(*.f64 (fma.f64 9 (*.f64 x x) -144/841) (/.f64 1 (fma.f64 3 x 12/29))) |
(/.f64 (fma.f64 9 (*.f64 x x) -144/841) (fma.f64 3 x 12/29)) |
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))) (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389))) |
(*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (/.f64 1 (fma.f64 9 (*.f64 x x) (+.f64 144/841 (*.f64 x 36/29))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) |
(/.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) (fma.f64 3 x 12/29)) |
(*.f64 (fma.f64 9 (*.f64 x x) -144/841) (/.f64 1 (fma.f64 3 x 12/29))) |
(/.f64 (fma.f64 9 (*.f64 x x) -144/841) (fma.f64 3 x 12/29)) |
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29)) |
(/.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841) (-.f64 (*.f64 3 x) -12/29)) |
(*.f64 (fma.f64 9 (*.f64 x x) -144/841) (/.f64 1 (fma.f64 3 x 12/29))) |
(/.f64 (fma.f64 9 (*.f64 x x) -144/841) (fma.f64 3 x 12/29)) |
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29)) |
(/.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29)))) |
(*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (/.f64 1 (fma.f64 9 (*.f64 x x) (+.f64 144/841 (*.f64 x 36/29))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) |
(/.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389) (+.f64 (*.f64 9 (*.f64 x x)) (-.f64 144/841 (*.f64 (*.f64 3 x) -12/29)))) |
(*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (/.f64 1 (fma.f64 9 (*.f64 x x) (+.f64 144/841 (*.f64 x 36/29))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) |
(/.f64 (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) -144/841)) (neg.f64 (fma.f64 3 x 12/29))) |
(*.f64 (fma.f64 9 (*.f64 x x) -144/841) (/.f64 1 (fma.f64 3 x 12/29))) |
(/.f64 (fma.f64 9 (*.f64 x x) -144/841) (fma.f64 3 x 12/29)) |
(/.f64 (fma.f64 x (*.f64 x 9) -144/841) (fma.f64 3 x 12/29)) |
(/.f64 (neg.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) -1728/24389)) (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) (+.f64 144/841 (*.f64 x 36/29))))) |
(*.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (/.f64 1 (fma.f64 9 (*.f64 x x) (+.f64 144/841 (*.f64 x 36/29))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 9 (*.f64 x x) (fma.f64 x 36/29 144/841))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) -1728/24389) (fma.f64 x 36/29 (fma.f64 x (*.f64 x 9) 144/841))) |
(pow.f64 (fma.f64 3 x -12/29) 1) |
(fma.f64 3 x -12/29) |
(pow.f64 (sqrt.f64 (fma.f64 3 x -12/29)) 2) |
(fma.f64 3 x -12/29) |
(pow.f64 (cbrt.f64 (fma.f64 3 x -12/29)) 3) |
(fma.f64 3 x -12/29) |
(pow.f64 (pow.f64 (fma.f64 3 x -12/29) 3) 1/3) |
(fma.f64 3 x -12/29) |
(sqrt.f64 (pow.f64 (fma.f64 3 x -12/29) 2)) |
(fma.f64 3 x -12/29) |
(log.f64 (exp.f64 (fma.f64 3 x -12/29))) |
(fma.f64 3 x -12/29) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 x -12/29)))) |
(fma.f64 3 x -12/29) |
(cbrt.f64 (pow.f64 (fma.f64 3 x -12/29) 3)) |
(fma.f64 3 x -12/29) |
(expm1.f64 (log1p.f64 (fma.f64 3 x -12/29))) |
(fma.f64 3 x -12/29) |
(exp.f64 (log.f64 (fma.f64 3 x -12/29))) |
(fma.f64 3 x -12/29) |
(exp.f64 (*.f64 (log.f64 (fma.f64 3 x -12/29)) 1)) |
(fma.f64 3 x -12/29) |
(log1p.f64 (expm1.f64 (fma.f64 3 x -12/29))) |
(fma.f64 3 x -12/29) |
(fma.f64 3 x -12/29) |
(fma.f64 x 3 -12/29) |
(fma.f64 3 x -12/29) |
(fma.f64 1 (*.f64 3 x) -12/29) |
(fma.f64 3 x -12/29) |
(fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) -12/29) |
(fma.f64 3 x -12/29) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) -12/29) |
(fma.f64 3 x -12/29) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 16/841 (*.f64 x x)) |
| ✓ | 0.2b | (*.f64 (/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) (*.f64 3 y)) |
| ✓ | 12.4b | (/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) |
Compiled 43 to 25 computations (41.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (*.f64 (/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) (*.f64 3 y)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) (*.f64 3 y)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) (*.f64 3 y)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) (*.f64 3 y)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) |
| 1× | batch-egg-rewrite |
| 1700× | associate-/l* |
| 1530× | associate-/r/ |
| 848× | associate-/l/ |
| 300× | add-sqr-sqrt |
| 288× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 75 |
| 1 | 297 | 39 |
| 2 | 4041 | 39 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) |
(*.f64 (/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) (*.f64 3 y)) |
(-.f64 16/841 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4/29 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -16/841 (+.f64 4/29 x)) (neg.f64 (*.f64 (/.f64 x (-.f64 -4/29 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 -4/29 x)) x)) (/.f64 -16/841 (+.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -4/29 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -16/841 (+.f64 4/29 x)) (*.f64 (/.f64 x (-.f64 -4/29 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) 33/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x -4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -4/29 (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/841 (*.f64 x x)) (/.f64 -1 (+.f64 4/29 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -4/29) 1)))) 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| 1× | egg-herbie |
| 1696× | associate-*r* |
| 1222× | associate-*l* |
| 1022× | associate-/l* |
| 878× | distribute-lft-in |
| 726× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 525 | 8307 |
| 1 | 1742 | 8049 |
| 1× | node limit |
| Inputs |
|---|
-4/29 |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
x |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
x |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
(-.f64 x 4/29) |
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
16/841 |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 x -4/29) |
(+.f64 -4/29 x) |
(+.f64 (/.f64 -16/841 (+.f64 4/29 x)) (neg.f64 (*.f64 (/.f64 x (-.f64 -4/29 x)) x))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 -4/29 x)) x)) (/.f64 -16/841 (+.f64 4/29 x))) |
(-.f64 -4/29 (neg.f64 x)) |
(-.f64 (/.f64 -16/841 (+.f64 4/29 x)) (*.f64 (/.f64 x (-.f64 -4/29 x)) x)) |
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(*.f64 1 (-.f64 16/841 (*.f64 x x))) |
(*.f64 (sqrt.f64 (-.f64 16/841 (*.f64 x x))) (sqrt.f64 (-.f64 16/841 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) 2) (cbrt.f64 (-.f64 16/841 (*.f64 x x)))) |
(*.f64 (-.f64 256/707281 (pow.f64 x 4)) (/.f64 1 (+.f64 16/841 (*.f64 x x)))) |
(*.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281)))) |
(*.f64 (/.f64 1 (+.f64 16/841 (*.f64 x x))) (-.f64 256/707281 (pow.f64 x 4))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281))) (-.f64 4096/594823321 (pow.f64 x 6))) |
(*.f64 (/.f64 (-.f64 256/707281 (pow.f64 x 4)) (-.f64 256/707281 (pow.f64 x 4))) (-.f64 16/841 (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 256/707281 (pow.f64 x 4)) (+.f64 4096/594823321 (pow.f64 x 6))) (+.f64 256/707281 (-.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))))) |
(*.f64 (/.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (-.f64 65536/500246412961 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))) (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x)))))) (-.f64 (-.f64 256/707281 (pow.f64 x 4)) (*.f64 16/841 (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (+.f64 16777216/353814783205469041 (pow.f64 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))) 3))) (+.f64 65536/500246412961 (-.f64 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))) (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x)))) (*.f64 256/707281 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))))))) |
(/.f64 (-.f64 16/841 (*.f64 x x)) 1) |
(/.f64 1 (/.f64 1 (-.f64 16/841 (*.f64 x x)))) |
(/.f64 (sqrt.f64 (-.f64 16/841 (*.f64 x x))) (/.f64 1 (sqrt.f64 (-.f64 16/841 (*.f64 x x))))) |
(/.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) 2) (/.f64 1 (cbrt.f64 (-.f64 16/841 (*.f64 x x))))) |
(/.f64 (-.f64 256/707281 (pow.f64 x 4)) (+.f64 16/841 (*.f64 x x))) |
(/.f64 (-.f64 256/707281 (pow.f64 x 4)) (/.f64 1 (/.f64 1 (+.f64 16/841 (*.f64 x x))))) |
(/.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281))) |
(/.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281))))) |
(/.f64 (sqrt.f64 (-.f64 4096/594823321 (pow.f64 x 6))) (/.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281)) (sqrt.f64 (-.f64 4096/594823321 (pow.f64 x 6))))) |
(/.f64 (sqrt.f64 (-.f64 256/707281 (pow.f64 x 4))) (/.f64 (+.f64 16/841 (*.f64 x x)) (sqrt.f64 (-.f64 256/707281 (pow.f64 x 4))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 4096/594823321 (pow.f64 x 6))) (cbrt.f64 (-.f64 4096/594823321 (pow.f64 x 6)))) (/.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281)) (cbrt.f64 (-.f64 4096/594823321 (pow.f64 x 6))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 256/707281 (pow.f64 x 4))) (cbrt.f64 (-.f64 256/707281 (pow.f64 x 4)))) (/.f64 (+.f64 16/841 (*.f64 x x)) (cbrt.f64 (-.f64 256/707281 (pow.f64 x 4))))) |
(/.f64 (neg.f64 (-.f64 256/707281 (pow.f64 x 4))) (neg.f64 (+.f64 16/841 (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 256/707281 (pow.f64 x 4))) (*.f64 1 (neg.f64 (+.f64 16/841 (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 4096/594823321 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281)))) |
(/.f64 (neg.f64 (-.f64 4096/594823321 (pow.f64 x 6))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281))))) |
(/.f64 (-.f64 256/707281 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (+.f64 16/841 (*.f64 x x))) |
(/.f64 (-.f64 16777216/353814783205469041 (*.f64 (pow.f64 x 6) (pow.f64 x 6))) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281)) (+.f64 4096/594823321 (pow.f64 x 6)))) |
(/.f64 (-.f64 65536/500246412961 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (*.f64 (+.f64 16/841 (*.f64 x x)) (+.f64 (pow.f64 x 4) 256/707281))) |
(/.f64 (+.f64 4096/594823321 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 256/707281 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 16/841 (*.f64 x (neg.f64 x)))))) |
(/.f64 (+.f64 4096/594823321 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (*.f64 1 (+.f64 256/707281 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 16/841 (*.f64 x (neg.f64 x))))))) |
(/.f64 (-.f64 68719476736/210457284365172120330305161 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281)) (+.f64 (+.f64 16777216/353814783205469041 (*.f64 (pow.f64 x 6) (pow.f64 x 6))) (*.f64 4096/594823321 (pow.f64 x 6))))) |
(/.f64 (-.f64 16777216/353814783205469041 (pow.f64 (pow.f64 x 4) 3)) (*.f64 (+.f64 16/841 (*.f64 x x)) (+.f64 65536/500246412961 (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 256/707281 (pow.f64 x 4)))))) |
(pow.f64 (-.f64 16/841 (*.f64 x x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 16/841 (*.f64 x x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (-.f64 16/841 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 16/841 (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (-.f64 16/841 (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 16/841 (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (-.f64 16/841 (*.f64 x x)) 3)) |
(expm1.f64 (log.f64 (-.f64 857/841 (*.f64 x x)))) |
(exp.f64 (log.f64 (-.f64 16/841 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 16/841 (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 16/841 (*.f64 x x)))) |
| Outputs |
|---|
-4/29 |
(-.f64 x 4/29) |
(+.f64 -4/29 x) |
(-.f64 x 4/29) |
(+.f64 -4/29 x) |
(-.f64 x 4/29) |
(+.f64 -4/29 x) |
x |
(-.f64 x 4/29) |
(+.f64 -4/29 x) |
(-.f64 x 4/29) |
(+.f64 -4/29 x) |
(-.f64 x 4/29) |
(+.f64 -4/29 x) |
x |
(-.f64 x 4/29) |
(+.f64 -4/29 x) |
(-.f64 x 4/29) |
(+.f64 -4/29 x) |
(-.f64 x 4/29) |
(+.f64 -4/29 x) |
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 x y) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 x y) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 x y) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 x y)) |
(*.f64 x (*.f64 y 3)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 x y) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 x y) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 x y) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 x y)) |
(*.f64 x (*.f64 y 3)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 x y) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 x y) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 x y) (*.f64 -12/29 y)) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 y (/.f64 (+.f64 x 4/29) (-.f64 16/841 (*.f64 x x))))) |
(*.f64 -3 (*.f64 (/.f64 y (+.f64 x 4/29)) (-.f64 16/841 (*.f64 x x)))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 y (/.f64 (+.f64 x 4/29) (-.f64 16/841 (*.f64 x x))))) |
(*.f64 -3 (*.f64 (/.f64 y (+.f64 x 4/29)) (-.f64 16/841 (*.f64 x x)))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 y (/.f64 (+.f64 x 4/29) (-.f64 16/841 (*.f64 x x))))) |
(*.f64 -3 (*.f64 (/.f64 y (+.f64 x 4/29)) (-.f64 16/841 (*.f64 x x)))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 y (/.f64 (+.f64 x 4/29) (-.f64 16/841 (*.f64 x x))))) |
(*.f64 -3 (*.f64 (/.f64 y (+.f64 x 4/29)) (-.f64 16/841 (*.f64 x x)))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 y (/.f64 (+.f64 x 4/29) (-.f64 16/841 (*.f64 x x))))) |
(*.f64 -3 (*.f64 (/.f64 y (+.f64 x 4/29)) (-.f64 16/841 (*.f64 x x)))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 y (/.f64 (+.f64 x 4/29) (-.f64 16/841 (*.f64 x x))))) |
(*.f64 -3 (*.f64 (/.f64 y (+.f64 x 4/29)) (-.f64 16/841 (*.f64 x x)))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 y (/.f64 (+.f64 x 4/29) (-.f64 16/841 (*.f64 x x))))) |
(*.f64 -3 (*.f64 (/.f64 y (+.f64 x 4/29)) (-.f64 16/841 (*.f64 x x)))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 y (/.f64 (+.f64 x 4/29) (-.f64 16/841 (*.f64 x x))))) |
(*.f64 -3 (*.f64 (/.f64 y (+.f64 x 4/29)) (-.f64 16/841 (*.f64 x x)))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 y (/.f64 (+.f64 x 4/29) (-.f64 16/841 (*.f64 x x))))) |
(*.f64 -3 (*.f64 (/.f64 y (+.f64 x 4/29)) (-.f64 16/841 (*.f64 x x)))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 y (/.f64 (+.f64 x 4/29) (-.f64 16/841 (*.f64 x x))))) |
(*.f64 -3 (*.f64 (/.f64 y (+.f64 x 4/29)) (-.f64 16/841 (*.f64 x x)))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 y (/.f64 (+.f64 x 4/29) (-.f64 16/841 (*.f64 x x))))) |
(*.f64 -3 (*.f64 (/.f64 y (+.f64 x 4/29)) (-.f64 16/841 (*.f64 x x)))) |
(*.f64 -3 (/.f64 (*.f64 y (-.f64 16/841 (pow.f64 x 2))) (+.f64 4/29 x))) |
(*.f64 -3 (/.f64 y (/.f64 (+.f64 x 4/29) (-.f64 16/841 (*.f64 x x))))) |
(*.f64 -3 (*.f64 (/.f64 y (+.f64 x 4/29)) (-.f64 16/841 (*.f64 x x)))) |
16/841 |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 16/841 (*.f64 x x)) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 16/841 (*.f64 x x)) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 16/841 (*.f64 x x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(neg.f64 (*.f64 x x)) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 16/841 (*.f64 x x)) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 16/841 (*.f64 x x)) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 16/841 (*.f64 x x)) |
(*.f64 -1 (pow.f64 x 2)) |
(*.f64 x (neg.f64 x)) |
(neg.f64 (*.f64 x x)) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 16/841 (*.f64 x x)) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 16/841 (*.f64 x x)) |
(+.f64 16/841 (*.f64 -1 (pow.f64 x 2))) |
(-.f64 16/841 (*.f64 x x)) |
(+.f64 x -4/29) |
(+.f64 -4/29 x) |
(+.f64 -4/29 x) |
(+.f64 (/.f64 -16/841 (+.f64 4/29 x)) (neg.f64 (*.f64 (/.f64 x (-.f64 -4/29 x)) x))) |
(-.f64 (/.f64 -16/841 (+.f64 x 4/29)) (*.f64 x (/.f64 x (-.f64 -4/29 x)))) |
(-.f64 (/.f64 -16/841 (+.f64 x 4/29)) (/.f64 (*.f64 x x) (-.f64 -4/29 x))) |
(+.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 -4/29 x)) x)) (/.f64 -16/841 (+.f64 4/29 x))) |
(-.f64 (/.f64 -16/841 (+.f64 x 4/29)) (*.f64 x (/.f64 x (-.f64 -4/29 x)))) |
(-.f64 (/.f64 -16/841 (+.f64 x 4/29)) (/.f64 (*.f64 x x) (-.f64 -4/29 x))) |
(-.f64 -4/29 (neg.f64 x)) |
(+.f64 -4/29 x) |
(-.f64 (/.f64 -16/841 (+.f64 4/29 x)) (*.f64 (/.f64 x (-.f64 -4/29 x)) x)) |
(-.f64 (/.f64 -16/841 (+.f64 x 4/29)) (*.f64 x (/.f64 x (-.f64 -4/29 x)))) |
(-.f64 (/.f64 -16/841 (+.f64 x 4/29)) (/.f64 (*.f64 x x) (-.f64 -4/29 x))) |
(-.f64 (exp.f64 (log1p.f64 x)) 33/29) |
(+.f64 (exp.f64 (log1p.f64 x)) -33/29) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x -4/29))) 1) |
(+.f64 -4/29 x) |
(-.f64 (+.f64 -4/29 (exp.f64 (log1p.f64 x))) 1) |
(+.f64 (exp.f64 (log1p.f64 x)) -33/29) |
(*.f64 (-.f64 16/841 (*.f64 x x)) (/.f64 -1 (+.f64 4/29 x))) |
(*.f64 (-.f64 16/841 (*.f64 x x)) (/.f64 -1 (+.f64 x 4/29))) |
(/.f64 (+.f64 -16/841 (*.f64 x x)) (+.f64 x 4/29)) |
(*.f64 (+.f64 x -4/29) 1) |
(+.f64 -4/29 x) |
(*.f64 1 (+.f64 x -4/29)) |
(+.f64 -4/29 x) |
(*.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 x -4/29))) |
(+.f64 -4/29 x) |
(*.f64 (sqrt.f64 (-.f64 16/841 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 16/841 (*.f64 x x))) (/.f64 -1 (+.f64 4/29 x)))) |
(*.f64 (-.f64 16/841 (*.f64 x x)) (/.f64 -1 (+.f64 x 4/29))) |
(/.f64 (+.f64 -16/841 (*.f64 x x)) (+.f64 x 4/29)) |
(*.f64 (cbrt.f64 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) |
(+.f64 -4/29 x) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 x -4/29))) |
(+.f64 -4/29 x) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) 2) (*.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) (/.f64 -1 (+.f64 4/29 x)))) |
(*.f64 (-.f64 16/841 (*.f64 x x)) (/.f64 -1 (+.f64 x 4/29))) |
(/.f64 (+.f64 -16/841 (*.f64 x x)) (+.f64 x 4/29)) |
(*.f64 (/.f64 -1 (+.f64 4/29 x)) (-.f64 16/841 (*.f64 x x))) |
(*.f64 (-.f64 16/841 (*.f64 x x)) (/.f64 -1 (+.f64 x 4/29))) |
(/.f64 (+.f64 -16/841 (*.f64 x x)) (+.f64 x 4/29)) |
(*.f64 (+.f64 -16/841 (*.f64 x x)) (/.f64 1 (+.f64 4/29 x))) |
(*.f64 (-.f64 16/841 (*.f64 x x)) (/.f64 -1 (+.f64 x 4/29))) |
(/.f64 (+.f64 -16/841 (*.f64 x x)) (+.f64 x 4/29)) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -4/29 x))) (/.f64 (-.f64 16/841 (*.f64 x x)) (sqrt.f64 (-.f64 -4/29 x)))) |
(/.f64 (/.f64 (-.f64 16/841 (*.f64 x x)) (sqrt.f64 (-.f64 -4/29 x))) (sqrt.f64 (-.f64 -4/29 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -4/29 x)) 2)) (/.f64 (-.f64 16/841 (*.f64 x x)) (cbrt.f64 (-.f64 -4/29 x)))) |
(/.f64 (/.f64 (-.f64 16/841 (*.f64 x x)) (cbrt.f64 (-.f64 -4/29 x))) (pow.f64 (cbrt.f64 (-.f64 -4/29 x)) 2)) |
(*.f64 (/.f64 1 (-.f64 -64/24389 (pow.f64 x 3))) (*.f64 (-.f64 16/841 (*.f64 x x)) (+.f64 16/841 (*.f64 x (+.f64 x -4/29))))) |
(*.f64 (/.f64 1 (-.f64 -64/24389 (pow.f64 x 3))) (*.f64 (-.f64 16/841 (*.f64 x x)) (+.f64 16/841 (*.f64 x (+.f64 -4/29 x))))) |
(*.f64 (+.f64 16/841 (*.f64 x (+.f64 -4/29 x))) (/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -64/24389 (pow.f64 x 3)))) |
(*.f64 (/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 16/841 (*.f64 x x))) (+.f64 x -4/29)) |
(+.f64 -4/29 x) |
(*.f64 (/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (*.f64 x (+.f64 x -4/29)))) |
(*.f64 (/.f64 1 (-.f64 -64/24389 (pow.f64 x 3))) (*.f64 (-.f64 16/841 (*.f64 x x)) (+.f64 16/841 (*.f64 x (+.f64 -4/29 x))))) |
(*.f64 (+.f64 16/841 (*.f64 x (+.f64 -4/29 x))) (/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -64/24389 (pow.f64 x 3)))) |
(*.f64 (/.f64 1 (+.f64 4/29 x)) (+.f64 -16/841 (*.f64 x x))) |
(*.f64 (-.f64 16/841 (*.f64 x x)) (/.f64 -1 (+.f64 x 4/29))) |
(/.f64 (+.f64 -16/841 (*.f64 x x)) (+.f64 x 4/29)) |
(*.f64 (/.f64 1 (-.f64 16/841 (*.f64 x x))) (*.f64 (-.f64 16/841 (*.f64 x x)) (+.f64 x -4/29))) |
(+.f64 -4/29 x) |
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 3 y) 3) (pow.f64 (+.f64 x -4/29) 3))) |
(*.f64 (+.f64 -4/29 x) (*.f64 y 3)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))) |
(*.f64 (+.f64 -4/29 x) (*.f64 y 3)) |
(exp.f64 (log.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))) |
(*.f64 (+.f64 -4/29 x) (*.f64 y 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y))) 1)) |
(*.f64 (+.f64 -4/29 x) (*.f64 y 3)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 3 y)))) |
(*.f64 (+.f64 -4/29 x) (*.f64 y 3)) |
(+.f64 16/841 (*.f64 x (neg.f64 x))) |
(-.f64 16/841 (*.f64 x x)) |
(+.f64 16/841 (*.f64 (*.f64 x (neg.f64 x)) 1)) |
(-.f64 16/841 (*.f64 x x)) |
(+.f64 (*.f64 x (neg.f64 x)) 16/841) |
(-.f64 16/841 (*.f64 x x)) |
(+.f64 (*.f64 (*.f64 x (neg.f64 x)) 1) 16/841) |
(-.f64 16/841 (*.f64 x x)) |
(+.f64 (-.f64 16/841 (exp.f64 (log1p.f64 (*.f64 x x)))) 1) |
(+.f64 1 (-.f64 16/841 (exp.f64 (log1p.f64 (*.f64 x x))))) |
(-.f64 857/841 (exp.f64 (log1p.f64 (*.f64 x x)))) |
(*.f64 (-.f64 16/841 (*.f64 x x)) 1) |
(-.f64 16/841 (*.f64 x x)) |
(*.f64 1 (-.f64 16/841 (*.f64 x x))) |
(-.f64 16/841 (*.f64 x x)) |
(*.f64 (sqrt.f64 (-.f64 16/841 (*.f64 x x))) (sqrt.f64 (-.f64 16/841 (*.f64 x x)))) |
(-.f64 16/841 (*.f64 x x)) |
(*.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) 2)) |
(-.f64 16/841 (*.f64 x x)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) 2) (cbrt.f64 (-.f64 16/841 (*.f64 x x)))) |
(-.f64 16/841 (*.f64 x x)) |
(*.f64 (-.f64 256/707281 (pow.f64 x 4)) (/.f64 1 (+.f64 16/841 (*.f64 x x)))) |
(*.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281)))) |
(*.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)))) |
(*.f64 (/.f64 1 (+.f64 16/841 (*.f64 x x))) (-.f64 256/707281 (pow.f64 x 4))) |
(*.f64 (-.f64 256/707281 (pow.f64 x 4)) (/.f64 1 (+.f64 16/841 (*.f64 x x)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281))) (-.f64 4096/594823321 (pow.f64 x 6))) |
(*.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)))) |
(*.f64 (/.f64 (-.f64 256/707281 (pow.f64 x 4)) (-.f64 256/707281 (pow.f64 x 4))) (-.f64 16/841 (*.f64 x x))) |
(-.f64 16/841 (*.f64 x x)) |
(*.f64 (/.f64 (-.f64 256/707281 (pow.f64 x 4)) (+.f64 4096/594823321 (pow.f64 x 6))) (+.f64 256/707281 (-.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))))) |
(*.f64 (+.f64 256/707281 (+.f64 (pow.f64 x 4) (*.f64 -16/841 (*.f64 x x)))) (/.f64 (-.f64 256/707281 (pow.f64 x 4)) (+.f64 4096/594823321 (pow.f64 x 6)))) |
(*.f64 (/.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (-.f64 65536/500246412961 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))) (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x)))))) (-.f64 (-.f64 256/707281 (pow.f64 x 4)) (*.f64 16/841 (*.f64 x x)))) |
(*.f64 (+.f64 (-.f64 256/707281 (pow.f64 x 4)) (*.f64 -16/841 (*.f64 x x))) (/.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (-.f64 65536/500246412961 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))) (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))))))) |
(/.f64 (*.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (+.f64 (-.f64 256/707281 (pow.f64 x 4)) (*.f64 -16/841 (*.f64 x x)))) (-.f64 65536/500246412961 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))) (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x)))))) |
(*.f64 (/.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (+.f64 16777216/353814783205469041 (pow.f64 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))) 3))) (+.f64 65536/500246412961 (-.f64 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))) (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x)))) (*.f64 256/707281 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))))))) |
(*.f64 (+.f64 65536/500246412961 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))) (-.f64 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))) 256/707281))) (/.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (+.f64 16777216/353814783205469041 (pow.f64 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))) 3)))) |
(/.f64 (*.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (+.f64 65536/500246412961 (*.f64 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 16/841 (*.f64 x x)) 256/707281))))) (+.f64 16777216/353814783205469041 (pow.f64 (+.f64 (pow.f64 x 4) (*.f64 16/841 (*.f64 x x))) 3))) |
(/.f64 (-.f64 16/841 (*.f64 x x)) 1) |
(-.f64 16/841 (*.f64 x x)) |
(/.f64 1 (/.f64 1 (-.f64 16/841 (*.f64 x x)))) |
(-.f64 16/841 (*.f64 x x)) |
(/.f64 (sqrt.f64 (-.f64 16/841 (*.f64 x x))) (/.f64 1 (sqrt.f64 (-.f64 16/841 (*.f64 x x))))) |
(-.f64 16/841 (*.f64 x x)) |
(/.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) 2))) |
(-.f64 16/841 (*.f64 x x)) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) 2) (/.f64 1 (cbrt.f64 (-.f64 16/841 (*.f64 x x))))) |
(-.f64 16/841 (*.f64 x x)) |
(/.f64 (-.f64 256/707281 (pow.f64 x 4)) (+.f64 16/841 (*.f64 x x))) |
(/.f64 (-.f64 256/707281 (pow.f64 x 4)) (/.f64 1 (/.f64 1 (+.f64 16/841 (*.f64 x x))))) |
(/.f64 (-.f64 256/707281 (pow.f64 x 4)) (+.f64 16/841 (*.f64 x x))) |
(/.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281))) |
(/.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281))) |
(/.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281))))) |
(/.f64 (-.f64 4096/594823321 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281))) |
(/.f64 (sqrt.f64 (-.f64 4096/594823321 (pow.f64 x 6))) (/.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281)) (sqrt.f64 (-.f64 4096/594823321 (pow.f64 x 6))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 4096/594823321 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281))) (sqrt.f64 (-.f64 4096/594823321 (pow.f64 x 6)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 4096/594823321 (pow.f64 x 6))) (sqrt.f64 (-.f64 4096/594823321 (pow.f64 x 6)))) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281))) |
(/.f64 (sqrt.f64 (-.f64 256/707281 (pow.f64 x 4))) (/.f64 (+.f64 16/841 (*.f64 x x)) (sqrt.f64 (-.f64 256/707281 (pow.f64 x 4))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 256/707281 (pow.f64 x 4))) (+.f64 16/841 (*.f64 x x))) (sqrt.f64 (-.f64 256/707281 (pow.f64 x 4)))) |
(*.f64 (sqrt.f64 (-.f64 256/707281 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 256/707281 (pow.f64 x 4))) (+.f64 16/841 (*.f64 x x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 4096/594823321 (pow.f64 x 6))) (cbrt.f64 (-.f64 4096/594823321 (pow.f64 x 6)))) (/.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281)) (cbrt.f64 (-.f64 4096/594823321 (pow.f64 x 6))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 4096/594823321 (pow.f64 x 6))) (cbrt.f64 (-.f64 4096/594823321 (pow.f64 x 6)))) (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)) (cbrt.f64 (-.f64 4096/594823321 (pow.f64 x 6))))) |
(/.f64 (cbrt.f64 (-.f64 4096/594823321 (pow.f64 x 6))) (/.f64 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)) (cbrt.f64 (-.f64 4096/594823321 (pow.f64 x 6)))) (cbrt.f64 (-.f64 4096/594823321 (pow.f64 x 6))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 256/707281 (pow.f64 x 4))) (cbrt.f64 (-.f64 256/707281 (pow.f64 x 4)))) (/.f64 (+.f64 16/841 (*.f64 x x)) (cbrt.f64 (-.f64 256/707281 (pow.f64 x 4))))) |
(*.f64 (cbrt.f64 (-.f64 256/707281 (pow.f64 x 4))) (/.f64 (cbrt.f64 (-.f64 256/707281 (pow.f64 x 4))) (/.f64 (+.f64 16/841 (*.f64 x x)) (cbrt.f64 (-.f64 256/707281 (pow.f64 x 4)))))) |
(/.f64 (neg.f64 (-.f64 256/707281 (pow.f64 x 4))) (neg.f64 (+.f64 16/841 (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 256/707281 (pow.f64 x 4))) (+.f64 -16/841 (*.f64 x (neg.f64 x)))) |
(/.f64 (+.f64 -256/707281 (pow.f64 x 4)) (-.f64 -16/841 (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 256/707281 (pow.f64 x 4))) (*.f64 1 (neg.f64 (+.f64 16/841 (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 256/707281 (pow.f64 x 4))) (+.f64 -16/841 (*.f64 x (neg.f64 x)))) |
(/.f64 (+.f64 -256/707281 (pow.f64 x 4)) (-.f64 -16/841 (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 4096/594823321 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281)))) |
(/.f64 (neg.f64 (-.f64 4096/594823321 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)))) |
(/.f64 (+.f64 -4096/594823321 (pow.f64 x 6)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)))) |
(/.f64 (neg.f64 (-.f64 4096/594823321 (pow.f64 x 6))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281))))) |
(/.f64 (neg.f64 (-.f64 4096/594823321 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)))) |
(/.f64 (+.f64 -4096/594823321 (pow.f64 x 6)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)))) |
(/.f64 (-.f64 256/707281 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (+.f64 16/841 (*.f64 x x))) |
(/.f64 (-.f64 256/707281 (pow.f64 x 4)) (+.f64 16/841 (*.f64 x x))) |
(/.f64 (-.f64 16777216/353814783205469041 (*.f64 (pow.f64 x 6) (pow.f64 x 6))) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281)) (+.f64 4096/594823321 (pow.f64 x 6)))) |
(/.f64 (-.f64 16777216/353814783205469041 (pow.f64 x 12)) (*.f64 (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)) (+.f64 4096/594823321 (pow.f64 x 6)))) |
(/.f64 (-.f64 65536/500246412961 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (*.f64 (+.f64 16/841 (*.f64 x x)) (+.f64 (pow.f64 x 4) 256/707281))) |
(/.f64 (-.f64 65536/500246412961 (pow.f64 x 8)) (*.f64 (+.f64 16/841 (*.f64 x x)) (+.f64 256/707281 (pow.f64 x 4)))) |
(/.f64 (+.f64 4096/594823321 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 256/707281 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 16/841 (*.f64 x (neg.f64 x)))))) |
(/.f64 (+.f64 4096/594823321 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 256/707281 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 16/841 x) (neg.f64 x))))) |
(/.f64 (+.f64 4096/594823321 (*.f64 -1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281))) |
(/.f64 (+.f64 4096/594823321 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (*.f64 1 (+.f64 256/707281 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 16/841 (*.f64 x (neg.f64 x))))))) |
(/.f64 (+.f64 4096/594823321 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 256/707281 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 16/841 x) (neg.f64 x))))) |
(/.f64 (+.f64 4096/594823321 (*.f64 -1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281))) |
(/.f64 (-.f64 68719476736/210457284365172120330305161 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 16/841 (*.f64 x x)) 256/707281)) (+.f64 (+.f64 16777216/353814783205469041 (*.f64 (pow.f64 x 6) (pow.f64 x 6))) (*.f64 4096/594823321 (pow.f64 x 6))))) |
(/.f64 (-.f64 68719476736/210457284365172120330305161 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)) (+.f64 (+.f64 16777216/353814783205469041 (pow.f64 x 12)) (*.f64 4096/594823321 (pow.f64 x 6))))) |
(/.f64 (-.f64 68719476736/210457284365172120330305161 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (+.f64 (pow.f64 x 4) (fma.f64 16/841 (*.f64 x x) 256/707281)) (+.f64 (pow.f64 x 12) (+.f64 16777216/353814783205469041 (*.f64 4096/594823321 (pow.f64 x 6)))))) |
(/.f64 (-.f64 16777216/353814783205469041 (pow.f64 (pow.f64 x 4) 3)) (*.f64 (+.f64 16/841 (*.f64 x x)) (+.f64 65536/500246412961 (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 256/707281 (pow.f64 x 4)))))) |
(/.f64 (-.f64 16777216/353814783205469041 (pow.f64 (pow.f64 x 4) 3)) (*.f64 (+.f64 16/841 (*.f64 x x)) (+.f64 65536/500246412961 (+.f64 (pow.f64 x 8) (*.f64 256/707281 (pow.f64 x 4)))))) |
(/.f64 (-.f64 16777216/353814783205469041 (pow.f64 (pow.f64 x 4) 3)) (*.f64 (+.f64 16/841 (*.f64 x x)) (+.f64 (+.f64 65536/500246412961 (*.f64 256/707281 (pow.f64 x 4))) (pow.f64 x 8)))) |
(pow.f64 (-.f64 16/841 (*.f64 x x)) 1) |
(-.f64 16/841 (*.f64 x x)) |
(pow.f64 (sqrt.f64 (-.f64 16/841 (*.f64 x x))) 2) |
(-.f64 16/841 (*.f64 x x)) |
(pow.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x x))) 3) |
(-.f64 16/841 (*.f64 x x)) |
(pow.f64 (pow.f64 (-.f64 16/841 (*.f64 x x)) 3) 1/3) |
(-.f64 16/841 (*.f64 x x)) |
(sqrt.f64 (pow.f64 (-.f64 16/841 (*.f64 x x)) 2)) |
(log.f64 (exp.f64 (-.f64 16/841 (*.f64 x x)))) |
(-.f64 16/841 (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 16/841 (*.f64 x x))))) |
(-.f64 16/841 (*.f64 x x)) |
(cbrt.f64 (pow.f64 (-.f64 16/841 (*.f64 x x)) 3)) |
(-.f64 16/841 (*.f64 x x)) |
(expm1.f64 (log.f64 (-.f64 857/841 (*.f64 x x)))) |
(exp.f64 (log.f64 (-.f64 16/841 (*.f64 x x)))) |
(-.f64 16/841 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (-.f64 16/841 (*.f64 x x))) 1)) |
(-.f64 16/841 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (-.f64 16/841 (*.f64 x x)))) |
(-.f64 16/841 (*.f64 x x)) |
Compiled 12159 to 8799 computations (27.6% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 673 | 5 | 678 |
| Fresh | 5 | 3 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 3 | 6 |
| Total | 682 | 11 | 693 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.6b | (/.f64 (*.f64 3 y) (/.f64 1 x)) |
| ▶ | 30.1b | (/.f64 (*.f64 3 y) -29/4) |
| ▶ | 0.4b | (/.f64 y (/.f64 (/.f64 1 (+.f64 x -4/29)) 3)) |
| 0.5b | (+.f64 (*.f64 (*.f64 x 3) y) (*.f64 -12/29 y)) | |
| 0.3b | (*.f64 (/.f64 y -1/3) (-.f64 4/29 x)) | |
| ✓ | 0.5b | (*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
| ▶ | 0.3b | (*.f64 (*.f64 y (+.f64 x -4/29)) 3) |
| 32.9b | (*.f64 (*.f64 x 3) y) | |
| ✓ | 32.6b | (*.f64 x (*.f64 y 3)) |
| ▶ | 32.6b | (*.f64 3 (*.f64 y x)) |
| ✓ | 30.1b | (*.f64 -12/29 y) |
Compiled 161 to 124 computations (23% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x -4/29) | |
| ✓ | 0.1b | (*.f64 y (+.f64 x -4/29)) |
| ✓ | 0.3b | (*.f64 (*.f64 y (+.f64 x -4/29)) 3) |
Compiled 21 to 14 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (*.f64 y (+.f64 x -4/29)) |
| 0.0ms | x | @ | -inf | (*.f64 y (+.f64 x -4/29)) |
| 0.0ms | y | @ | 0 | (*.f64 (*.f64 y (+.f64 x -4/29)) 3) |
| 0.0ms | y | @ | inf | (*.f64 (*.f64 y (+.f64 x -4/29)) 3) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 y (+.f64 x -4/29)) 3) |
| 1× | batch-egg-rewrite |
| 918× | *-commutative |
| 692× | unswap-sqr |
| 636× | associate-*r/ |
| 556× | swap-sqr |
| 504× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 198 | 32 |
| 2 | 2487 | 32 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 y (+.f64 x -4/29)) 3) |
(*.f64 y (+.f64 x -4/29)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -4/29) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 1 (+.f64 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 4/29) (*.f64 y (fma.f64 x x -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))) (*.f64 y (+.f64 -64/24389 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y (+.f64 x 4/29)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 16/841 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y -4/29) (-.f64 (*.f64 y -4/29) (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 y 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y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -4/29) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 y -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 y -4/29)))))) |
| 1× | egg-herbie |
| 1326× | associate-/r* |
| 1268× | associate-*r/ |
| 882× | associate-/r/ |
| 836× | associate-*l/ |
| 710× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 296 | 4591 |
| 1 | 815 | 4157 |
| 2 | 3645 | 4069 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 -4/29 y) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) -1) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 3 (*.f64 y -4/29))) |
(+.f64 (*.f64 3 (*.f64 y -4/29)) (*.f64 3 (*.f64 y x))) |
(+.f64 (*.f64 1 (*.f64 3 (*.f64 y x))) (*.f64 1 (*.f64 3 (*.f64 y -4/29)))) |
(+.f64 (*.f64 (*.f64 y 3) x) (*.f64 (*.f64 y 3) -4/29)) |
(+.f64 (*.f64 (*.f64 y 3) -4/29) (*.f64 (*.f64 y 3) x)) |
(+.f64 (*.f64 (*.f64 3 (*.f64 y x)) 1) (*.f64 (*.f64 3 (*.f64 y -4/29)) 1)) |
(+.f64 (*.f64 x (*.f64 y 3)) (*.f64 -4/29 (*.f64 y 3))) |
(+.f64 (*.f64 -4/29 (*.f64 y 3)) (*.f64 x (*.f64 y 3))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) 1) |
(/.f64 (*.f64 y 3) (/.f64 1 (+.f64 x -4/29))) |
(/.f64 (*.f64 y (*.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29)) |
(/.f64 (*.f64 y (*.f64 3 (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(/.f64 (*.f64 3 (*.f64 y (fma.f64 x x -16/841))) (+.f64 x 4/29)) |
(/.f64 (*.f64 3 (*.f64 y (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(/.f64 (*.f64 3 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 16/841 (*.f64 y y)))) (*.f64 y (+.f64 x 4/29))) |
(/.f64 (*.f64 3 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -4/29) 3))) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y -4/29) (-.f64 (*.f64 y -4/29) (*.f64 y x))))) |
(/.f64 (*.f64 (*.f64 y 3) 1) (/.f64 1 (+.f64 x -4/29))) |
(/.f64 (*.f64 (*.f64 y 3) (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (*.f64 (*.f64 y 3) (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(/.f64 (*.f64 (*.f64 y 3) (-.f64 16/841 (*.f64 x x))) (-.f64 -4/29 x)) |
(/.f64 (*.f64 (*.f64 y 3) (neg.f64 (fma.f64 x x -16/841))) (+.f64 (neg.f64 x) -4/29)) |
(/.f64 (*.f64 (*.f64 y 3) (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(/.f64 (*.f64 1 (*.f64 y 3)) (/.f64 1 (+.f64 x -4/29))) |
(/.f64 (*.f64 (fma.f64 x x -16/841) (*.f64 y 3)) (+.f64 x 4/29)) |
(/.f64 (*.f64 (+.f64 -64/24389 (pow.f64 x 3)) (*.f64 y 3)) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(/.f64 (*.f64 (-.f64 16/841 (*.f64 x x)) (*.f64 y 3)) (-.f64 -4/29 x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -16/841)) (*.f64 y 3)) (+.f64 (neg.f64 x) -4/29)) |
(/.f64 (*.f64 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 y 3)) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(/.f64 (*.f64 (*.f64 y (fma.f64 x x -16/841)) 3) (+.f64 x 4/29)) |
(/.f64 (*.f64 (*.f64 y (+.f64 -64/24389 (pow.f64 x 3))) 3) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 16/841 (*.f64 y y))) 3) (*.f64 y (+.f64 x 4/29))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -4/29) 3)) 3) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y -4/29) (-.f64 (*.f64 y -4/29) (*.f64 y x))))) |
(/.f64 (*.f64 (*.f64 3 (fma.f64 x x -16/841)) y) (+.f64 x 4/29)) |
(/.f64 (*.f64 (*.f64 3 (+.f64 -64/24389 (pow.f64 x 3))) y) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(/.f64 (-.f64 (*.f64 (*.f64 3 (*.f64 y x)) (*.f64 3 (*.f64 y x))) (*.f64 (*.f64 3 (*.f64 y -4/29)) (*.f64 3 (*.f64 y -4/29)))) (-.f64 (*.f64 3 (*.f64 y x)) (*.f64 3 (*.f64 y -4/29)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) (exp.f64 (log1p.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) 1)) |
(/.f64 (+.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) (pow.f64 (*.f64 3 (*.f64 y -4/29)) 3)) (+.f64 (*.f64 (*.f64 3 (*.f64 y x)) (*.f64 3 (*.f64 y x))) (-.f64 (*.f64 (*.f64 3 (*.f64 y -4/29)) (*.f64 3 (*.f64 y -4/29))) (*.f64 (*.f64 3 (*.f64 y x)) (*.f64 3 (*.f64 y -4/29)))))) |
(pow.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))) 3) |
(pow.f64 (pow.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))) 3) 1/3) |
(sqrt.f64 (*.f64 9 (pow.f64 (*.f64 y (+.f64 x -4/29)) 2))) |
(log.f64 (pow.f64 (exp.f64 3) (*.f64 y (+.f64 x -4/29)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))))) |
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) |
(exp.f64 (log.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) |
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) |
(+.f64 (*.f64 y -4/29) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 y -4/29)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))) 1) |
(/.f64 y (/.f64 1 (+.f64 x -4/29))) |
(/.f64 1 (/.f64 (+.f64 x 4/29) (*.f64 y (fma.f64 x x -16/841)))) |
(/.f64 1 (/.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))) (*.f64 y (+.f64 -64/24389 (pow.f64 x 3))))) |
(/.f64 1 (/.f64 (*.f64 y (+.f64 x 4/29)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 16/841 (*.f64 y y))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y -4/29) (-.f64 (*.f64 y -4/29) (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -4/29) 3)))) |
(/.f64 (fma.f64 x x -16/841) (/.f64 (+.f64 x 4/29) y)) |
(/.f64 (+.f64 -64/24389 (pow.f64 x 3)) (/.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))) y)) |
(/.f64 (*.f64 y (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (*.f64 y (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 16/841 (*.f64 y y))) (*.f64 y (+.f64 x 4/29))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -4/29) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y -4/29) (-.f64 (*.f64 y -4/29) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -4/29) 3)) (+.f64 (*.f64 16/841 (*.f64 y y)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y -4/29) (*.f64 y x))))) |
(/.f64 (*.f64 y (-.f64 16/841 (*.f64 x x))) (-.f64 -4/29 x)) |
(/.f64 (*.f64 y (neg.f64 (fma.f64 x x -16/841))) (+.f64 (neg.f64 x) -4/29)) |
(/.f64 (*.f64 y (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(/.f64 (*.f64 1 (*.f64 y (fma.f64 x x -16/841))) (+.f64 x 4/29)) |
(/.f64 (*.f64 1 (*.f64 y (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 16/841 (*.f64 y y)))) (*.f64 y (+.f64 x 4/29))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -4/29) 3))) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y -4/29) (-.f64 (*.f64 y -4/29) (*.f64 y x))))) |
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (+.f64 x 4/29))) |
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(/.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29))) |
(/.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(/.f64 (*.f64 (-.f64 16/841 (*.f64 x x)) y) (-.f64 -4/29 x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -16/841)) y) (+.f64 (neg.f64 x) -4/29)) |
(/.f64 (*.f64 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3))) y) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(/.f64 (*.f64 (*.f64 y (fma.f64 x x -16/841)) 1) (+.f64 x 4/29)) |
(/.f64 (*.f64 (*.f64 y (+.f64 -64/24389 (pow.f64 x 3))) 1) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 16/841 (*.f64 y y))) 1) (*.f64 y (+.f64 x 4/29))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -4/29) 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y -4/29) (-.f64 (*.f64 y -4/29) (*.f64 y x))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -16/841)) (*.f64 y (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 x 4/29))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 y (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(/.f64 (/.f64 (*.f64 y (fma.f64 x x -16/841)) 1) (+.f64 x 4/29)) |
(/.f64 (/.f64 (*.f64 y (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29))) (sqrt.f64 (+.f64 x 4/29))) |
(/.f64 (/.f64 (*.f64 y (fma.f64 x x -16/841)) (*.f64 (cbrt.f64 (+.f64 x 4/29)) (cbrt.f64 (+.f64 x 4/29)))) (cbrt.f64 (+.f64 x 4/29))) |
(/.f64 (/.f64 (*.f64 y (+.f64 -64/24389 (pow.f64 x 3))) 1) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(/.f64 (/.f64 (*.f64 y (+.f64 -64/24389 (pow.f64 x 3))) (sqrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) (sqrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(/.f64 (/.f64 (*.f64 y (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(/.f64 (-.f64 (*.f64 16/841 (*.f64 y y)) (pow.f64 (*.f64 y x) 2)) (-.f64 (*.f64 y -4/29) (*.f64 y x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))) (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))) 1)) |
(pow.f64 (*.f64 y (+.f64 x -4/29)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -4/29))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -4/29))) 3) |
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 2)) |
(log.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -4/29))))) |
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -4/29) 3) (pow.f64 y 3))) |
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))) |
(exp.f64 (log.f64 (*.f64 y (+.f64 x -4/29)))) |
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -4/29)))) |
(fma.f64 y x (*.f64 y -4/29)) |
(fma.f64 x y (*.f64 y -4/29)) |
| Outputs |
|---|
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -12/29 y) |
(*.f64 y -12/29) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (+.f64 x -4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (+.f64 x -4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (+.f64 x -4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (+.f64 x -4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (+.f64 x -4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (+.f64 x -4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (+.f64 x -4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (+.f64 x -4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (+.f64 x -4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (+.f64 x -4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (+.f64 x -4/29)) |
(*.f64 y (-.f64 x 4/29)) |
(*.f64 y (+.f64 x -4/29)) |
(*.f64 -4/29 y) |
(*.f64 y -4/29) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(*.f64 y (+.f64 x -4/29)) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(*.f64 y (+.f64 x -4/29)) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(*.f64 y (+.f64 x -4/29)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(*.f64 y (+.f64 x -4/29)) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(*.f64 y (+.f64 x -4/29)) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(*.f64 y (+.f64 x -4/29)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(*.f64 y (+.f64 x -4/29)) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(*.f64 y (+.f64 x -4/29)) |
(+.f64 (*.f64 y x) (*.f64 -4/29 y)) |
(*.f64 y (+.f64 x -4/29)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) -1) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
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(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))) (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))) 1)) |
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29))))) (*.f64 y (+.f64 x -4/29))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 y (+.f64 x -4/29))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))))) |
(pow.f64 (*.f64 y (+.f64 x -4/29)) 1) |
(*.f64 y (+.f64 x -4/29)) |
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -4/29))) 2) |
(*.f64 y (+.f64 x -4/29)) |
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -4/29))) 3) |
(*.f64 y (+.f64 x -4/29)) |
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 3) 1/3) |
(*.f64 y (+.f64 x -4/29)) |
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 2)) |
(fabs.f64 (*.f64 y (+.f64 x -4/29))) |
(log.f64 (pow.f64 (exp.f64 (+.f64 x -4/29)) y)) |
(*.f64 y (+.f64 x -4/29)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -4/29))))) |
(*.f64 y (+.f64 x -4/29)) |
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -4/29)) 3)) |
(*.f64 y (+.f64 x -4/29)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -4/29) 3) (pow.f64 y 3))) |
(*.f64 y (+.f64 x -4/29)) |
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -4/29)))) |
(*.f64 y (+.f64 x -4/29)) |
(exp.f64 (log.f64 (*.f64 y (+.f64 x -4/29)))) |
(*.f64 y (+.f64 x -4/29)) |
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -4/29)))) |
(*.f64 y (+.f64 x -4/29)) |
(fma.f64 y x (*.f64 y -4/29)) |
(*.f64 y (+.f64 x -4/29)) |
(fma.f64 x y (*.f64 y -4/29)) |
(*.f64 y (+.f64 x -4/29)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 3 (*.f64 y x)) |
Compiled 13 to 6 computations (53.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (*.f64 3 (*.f64 y x)) |
| 0.0ms | y | @ | 0 | (*.f64 3 (*.f64 y x)) |
| 0.0ms | y | @ | -inf | (*.f64 3 (*.f64 y x)) |
| 0.0ms | x | @ | -inf | (*.f64 3 (*.f64 y x)) |
| 0.0ms | x | @ | inf | (*.f64 3 (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 1318× | add-sqr-sqrt |
| 1304× | *-un-lft-identity |
| 1210× | add-cube-cbrt |
| 1194× | add-cbrt-cube |
| 1180× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 141 | 13 |
| 2 | 1633 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x)))))))) |
| 1× | egg-herbie |
| 1100× | distribute-rgt-in |
| 1100× | distribute-lft-in |
| 1004× | *-commutative |
| 886× | log-prod |
| 842× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 275 |
| 1 | 92 | 209 |
| 2 | 356 | 143 |
| 3 | 2249 | 143 |
| 4 | 7020 | 143 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1) |
(pow.f64 (*.f64 3 (*.f64 y x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3) |
(pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 9)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 3)) |
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 3 (*.f64 y x)))) |
(log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (*.f64 3 (*.f64 y x)) 1) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 9)) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 3)) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3)) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x)))) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(exp.f64 (log.f64 (*.f64 3 (*.f64 y x)))) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x)))) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (*.f64 3 y) -29/4) |
Compiled 13 to 10 computations (23.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 3 y) -29/4) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 3 y) -29/4) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 3 y) -29/4) |
| 1× | batch-egg-rewrite |
| 1424× | add-sqr-sqrt |
| 1382× | *-un-lft-identity |
| 1316× | add-cube-cbrt |
| 1306× | add-cbrt-cube |
| 1292× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 151 | 7 |
| 2 | 1759 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 3 y) -29/4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 y -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 1 (/.f64 -29/4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 y) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y -12/29)) (sqrt.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y -12/29)) (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2) (cbrt.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/29 (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -3) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -12/29 y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -29/12 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 3 y) 29/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y -12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -12/29))))))) |
| 1× | egg-herbie |
| 1172× | associate-/l* |
| 898× | distribute-lft-in |
| 872× | distribute-rgt-in |
| 738× | associate-*r/ |
| 550× | log-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 280 |
| 1 | 147 | 280 |
| 2 | 692 | 280 |
| 3 | 2166 | 280 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(-.f64 (+.f64 1 (*.f64 y -12/29)) 1) |
(*.f64 3 (*.f64 y -4/29)) |
(*.f64 3 (/.f64 1 (/.f64 -29/4 y))) |
(*.f64 y -12/29) |
(*.f64 (*.f64 3 y) -4/29) |
(*.f64 (*.f64 y -12/29) 1) |
(*.f64 1 (*.f64 y -12/29)) |
(*.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) -4/29)) |
(*.f64 (sqrt.f64 (*.f64 y -12/29)) (sqrt.f64 (*.f64 y -12/29))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) -4/29)) |
(*.f64 (cbrt.f64 (*.f64 y -12/29)) (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2) (cbrt.f64 (*.f64 y -12/29))) |
(*.f64 -4/29 (*.f64 3 y)) |
(*.f64 (*.f64 y -3) 4/29) |
(*.f64 -12/29 y) |
(pow.f64 (*.f64 y -12/29) 1) |
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3) |
(pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3) |
(pow.f64 (/.f64 -29/12 y) -1) |
(neg.f64 (/.f64 (*.f64 3 y) 29/4)) |
(sqrt.f64 (pow.f64 (*.f64 y -12/29) 2)) |
(log.f64 (exp.f64 (*.f64 y -12/29))) |
(cbrt.f64 (pow.f64 (*.f64 y -12/29) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y -12/29))) |
(exp.f64 (log.f64 (*.f64 y -12/29))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y -12/29)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y -12/29))) |
| Outputs |
|---|
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(-.f64 (+.f64 1 (*.f64 y -12/29)) 1) |
(*.f64 -12/29 y) |
(*.f64 3 (*.f64 y -4/29)) |
(*.f64 -12/29 y) |
(*.f64 3 (/.f64 1 (/.f64 -29/4 y))) |
(*.f64 -12/29 y) |
(*.f64 y -12/29) |
(*.f64 -12/29 y) |
(*.f64 (*.f64 3 y) -4/29) |
(*.f64 -12/29 y) |
(*.f64 (*.f64 y -12/29) 1) |
(*.f64 -12/29 y) |
(*.f64 1 (*.f64 y -12/29)) |
(*.f64 -12/29 y) |
(*.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) -4/29)) |
(*.f64 -12/29 y) |
(*.f64 (sqrt.f64 (*.f64 y -12/29)) (sqrt.f64 (*.f64 y -12/29))) |
(*.f64 -12/29 y) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) -4/29)) |
(*.f64 -12/29 y) |
(*.f64 (cbrt.f64 (*.f64 y -12/29)) (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2)) |
(*.f64 -12/29 y) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2) (cbrt.f64 (*.f64 y -12/29))) |
(*.f64 -12/29 y) |
(*.f64 -4/29 (*.f64 3 y)) |
(*.f64 -12/29 y) |
(*.f64 (*.f64 y -3) 4/29) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(pow.f64 (*.f64 y -12/29) 1) |
(*.f64 -12/29 y) |
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2) |
(*.f64 -12/29 y) |
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3) |
(*.f64 -12/29 y) |
(pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3) |
(*.f64 -12/29 y) |
(pow.f64 (/.f64 -29/12 y) -1) |
(*.f64 -12/29 y) |
(neg.f64 (/.f64 (*.f64 3 y) 29/4)) |
(*.f64 -12/29 y) |
(sqrt.f64 (pow.f64 (*.f64 y -12/29) 2)) |
(*.f64 -12/29 y) |
(log.f64 (exp.f64 (*.f64 y -12/29))) |
(*.f64 -12/29 y) |
(cbrt.f64 (pow.f64 (*.f64 y -12/29) 3)) |
(*.f64 -12/29 y) |
(expm1.f64 (log1p.f64 (*.f64 y -12/29))) |
(*.f64 -12/29 y) |
(exp.f64 (log.f64 (*.f64 y -12/29))) |
(*.f64 -12/29 y) |
(exp.f64 (*.f64 (log.f64 (*.f64 y -12/29)) 1)) |
(*.f64 -12/29 y) |
(log1p.f64 (expm1.f64 (*.f64 y -12/29))) |
(*.f64 -12/29 y) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (*.f64 3 y) (/.f64 1 x)) |
Compiled 19 to 13 computations (31.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 3 y) (/.f64 1 x)) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 3 y) (/.f64 1 x)) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 3 y) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 3 y) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 3 y) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1872× | add-sqr-sqrt |
| 1850× | *-un-lft-identity |
| 1734× | add-cube-cbrt |
| 1714× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 188 | 13 |
| 2 | 2448 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 3 y) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 1 (/.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) (sqrt.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 2) (cbrt.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -3) (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (*.f64 3 y) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (*.f64 3 y) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 x -1/2)) (/.f64 3 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (/.f64 1 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3 y) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (pow.f64 x -1/2)) (/.f64 y (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (cbrt.f64 (pow.f64 x -2))) (/.f64 y (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 3 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (pow.f64 x -2))) (/.f64 3 (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) 1) (/.f64 (sqrt.f64 (*.f64 3 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 (*.f64 3 y)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 3 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (*.f64 3 y)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 3 (*.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 3 y) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x)))))))) |
| 1× | egg-herbie |
| 1408× | associate-*r/ |
| 924× | associate-+r- |
| 918× | associate-*l/ |
| 884× | associate-+l- |
| 730× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1067 |
| 1 | 326 | 1019 |
| 2 | 1191 | 1019 |
| 3 | 6223 | 1019 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 y x)))) 1) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (/.f64 y (/.f64 1 x))) |
(*.f64 3 (/.f64 1 (/.f64 1 (*.f64 y x)))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 1 (*.f64 3 (*.f64 y x))) |
(*.f64 (*.f64 3 (*.f64 y x)) 1) |
(*.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) x)) |
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) (sqrt.f64 (*.f64 3 (*.f64 y x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) x)) |
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 2) (cbrt.f64 (*.f64 3 (*.f64 y x)))) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 y -3) (/.f64 1 (/.f64 -1 x))) |
(*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (*.f64 3 y) (pow.f64 x -1/2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (*.f64 3 y) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 y (pow.f64 x -1/2)) (/.f64 3 (pow.f64 x -1/2))) |
(*.f64 (/.f64 3 (/.f64 1 x)) y) |
(*.f64 (/.f64 (*.f64 3 y) -1) (neg.f64 x)) |
(*.f64 (/.f64 3 (pow.f64 x -1/2)) (/.f64 y (pow.f64 x -1/2))) |
(*.f64 (/.f64 3 (cbrt.f64 (pow.f64 x -2))) (/.f64 y (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 y 1) (/.f64 3 (/.f64 1 x))) |
(*.f64 (/.f64 y (cbrt.f64 (pow.f64 x -2))) (/.f64 3 (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) 1) (/.f64 (sqrt.f64 (*.f64 3 y)) (/.f64 1 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 (*.f64 3 y)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 3 y)) (/.f64 1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (*.f64 3 y)) (pow.f64 x -1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (*.f64 3 (*.f64 y x)))) |
(pow.f64 (*.f64 3 (*.f64 y x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3) |
(pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3) |
(pow.f64 (/.f64 1 (*.f64 3 (*.f64 y x))) -1) |
(neg.f64 (/.f64 (*.f64 3 y) (/.f64 -1 x))) |
(sqrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 y x))))) |
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 3 (*.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 y x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x)))) |
| Outputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 y x)))) 1) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (/.f64 y (/.f64 1 x))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (/.f64 1 (/.f64 1 (*.f64 y x)))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 1 (*.f64 3 (*.f64 y x))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 (*.f64 y x)) 1) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) (sqrt.f64 (*.f64 3 (*.f64 y x)))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 2)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 2) (cbrt.f64 (*.f64 3 (*.f64 y x)))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 y -3) (/.f64 1 (/.f64 -1 x))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (*.f64 3 y) (pow.f64 x -1/2))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (*.f64 3 y) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 (*.f64 3 y) 1) (cbrt.f64 x))) |
(/.f64 (*.f64 y (*.f64 3 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 3 (/.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (/.f64 y (pow.f64 x -1/2)) (/.f64 3 (pow.f64 x -1/2))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 3 (/.f64 1 x)) y) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 (*.f64 3 y) -1) (neg.f64 x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 3 (pow.f64 x -1/2)) (/.f64 y (pow.f64 x -1/2))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 3 (cbrt.f64 (pow.f64 x -2))) (/.f64 y (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 (*.f64 3 y) 1) (cbrt.f64 x))) |
(/.f64 (*.f64 y (*.f64 3 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 3 (/.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (/.f64 y 1) (/.f64 3 (/.f64 1 x))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 y (cbrt.f64 (pow.f64 x -2))) (/.f64 3 (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 (*.f64 3 y) 1) (cbrt.f64 x))) |
(/.f64 (*.f64 y (*.f64 3 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 3 (/.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) 1) (/.f64 (sqrt.f64 (*.f64 3 y)) (/.f64 1 x))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 3 y)) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 (*.f64 3 y)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 (*.f64 3 y) 1) (cbrt.f64 x))) |
(/.f64 (*.f64 y (*.f64 3 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 3 (/.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 3 y)) (/.f64 1 x))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (*.f64 3 y)) (pow.f64 x -1/2))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (*.f64 3 (*.f64 y x)))) |
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (cbrt.f64 (pow.f64 x -2)))) |
(pow.f64 (*.f64 3 (*.f64 y x)) 1) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (/.f64 1 (*.f64 3 (*.f64 y x))) -1) |
(*.f64 3 (*.f64 y x)) |
(neg.f64 (/.f64 (*.f64 3 y) (/.f64 -1 x))) |
(*.f64 3 (*.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2)) |
(*.f64 3 (*.f64 y x)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x)) |
(*.f64 3 (*.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 y x))))) |
(*.f64 3 (*.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3)) |
(*.f64 3 (*.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x)))) |
(*.f64 3 (*.f64 y x)) |
(exp.f64 (log.f64 (*.f64 3 (*.f64 y x)))) |
(*.f64 3 (*.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 y x))) 1)) |
(*.f64 3 (*.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x)))) |
(*.f64 3 (*.f64 y x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x -4/29) | |
| 0.0b | (/.f64 1 (+.f64 x -4/29)) | |
| ✓ | 0.1b | (/.f64 (/.f64 1 (+.f64 x -4/29)) 3) |
| ✓ | 0.3b | (/.f64 y (/.f64 (/.f64 1 (+.f64 x -4/29)) 3)) |
Compiled 31 to 24 computations (22.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 (+.f64 x -4/29)) 3) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 (+.f64 x -4/29)) 3) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 (+.f64 x -4/29)) 3) |
| 0.0ms | y | @ | 0 | (/.f64 y (/.f64 (/.f64 1 (+.f64 x -4/29)) 3)) |
| 0.0ms | x | @ | -inf | (/.f64 y (/.f64 (/.f64 1 (+.f64 x -4/29)) 3)) |
| 1× | batch-egg-rewrite |
| 1580× | associate-/r* |
| 1310× | associate-/l* |
| 1080× | *-commutative |
| 760× | associate-/r/ |
| 408× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 44 |
| 1 | 247 | 32 |
| 2 | 3215 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (/.f64 (/.f64 1 (+.f64 x -4/29)) 3)) |
(/.f64 (/.f64 1 (+.f64 x -4/29)) 3) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1816× | distribute-lft-in |
| 1786× | distribute-rgt-in |
| 886× | associate-/l/ |
| 836× | associate-/r/ |
| 474× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 356 | 3991 |
| 1 | 969 | 3553 |
| 2 | 3487 | 3553 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
-29/12 |
(-.f64 (*.f64 -841/48 x) 29/12) |
(-.f64 (+.f64 (*.f64 -24389/192 (pow.f64 x 2)) (*.f64 -841/48 x)) 29/12) |
(-.f64 (+.f64 (*.f64 -707281/768 (pow.f64 x 3)) (+.f64 (*.f64 -24389/192 (pow.f64 x 2)) (*.f64 -841/48 x))) 29/12) |
(/.f64 1/3 x) |
(+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))) |
(+.f64 (*.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x)))) |
(+.f64 (*.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 64/73167 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 x))))) |
(/.f64 1/3 x) |
(+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))) |
(+.f64 (*.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x)))) |
(+.f64 (*.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 64/73167 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 x))))) |
(+.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29)) |
(+.f64 (*.f64 y -12/29) (*.f64 y (*.f64 x 3))) |
(+.f64 (*.f64 (/.f64 y 1) (*.f64 x 3)) (*.f64 (/.f64 y 1) -12/29)) |
(+.f64 (*.f64 (/.f64 y 1) -12/29) (*.f64 (/.f64 y 1) (*.f64 x 3))) |
(+.f64 (*.f64 (*.f64 x 3) y) (*.f64 -12/29 y)) |
(+.f64 (*.f64 -12/29 y) (*.f64 (*.f64 x 3) y)) |
(+.f64 (*.f64 (*.f64 x 3) (/.f64 y 1)) (*.f64 -12/29 (/.f64 y 1))) |
(+.f64 (*.f64 -12/29 (/.f64 y 1)) (*.f64 (*.f64 x 3) (/.f64 y 1))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) 1) |
(*.f64 y (+.f64 -12/29 (*.f64 x 3))) |
(*.f64 1 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))) |
(*.f64 (+.f64 x -4/29) (*.f64 y 3)) |
(*.f64 (+.f64 x -4/29) (/.f64 y 1/3)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))) 1) |
(*.f64 (sqrt.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))) (sqrt.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 -12/29 (*.f64 x 3)))) |
(*.f64 (cbrt.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))) 2)) |
(*.f64 (cbrt.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))) 2) (cbrt.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 -12/29 (*.f64 x 3)))) |
(*.f64 (*.f64 y (+.f64 x -4/29)) 3) |
(*.f64 (+.f64 -12/29 (*.f64 x 3)) y) |
(*.f64 (+.f64 -12/29 (*.f64 x 3)) (/.f64 y 1)) |
(*.f64 -3 (*.f64 (/.f64 y -1) (+.f64 x -4/29))) |
(*.f64 (neg.f64 y) (*.f64 3 (-.f64 4/29 x))) |
(*.f64 (-.f64 4/29 x) (*.f64 y -3)) |
(*.f64 (*.f64 (sqrt.f64 y) (+.f64 -12/29 (*.f64 x 3))) (sqrt.f64 y)) |
(*.f64 (*.f64 (cbrt.f64 y) (+.f64 -12/29 (*.f64 x 3))) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 3)) (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (/.f64 y (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(*.f64 (/.f64 y 1) (+.f64 -12/29 (*.f64 x 3))) |
(*.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (*.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 3))) |
(*.f64 (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2)) (*.f64 3 (sqrt.f64 (+.f64 x -4/29)))) |
(*.f64 (/.f64 y (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) (*.f64 3 (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (/.f64 y 1/3) (+.f64 x -4/29)) |
(*.f64 (/.f64 y (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2))) |
(*.f64 (*.f64 (/.f64 y -1) (+.f64 x -4/29)) -3) |
(*.f64 (/.f64 y -1) (*.f64 3 (-.f64 4/29 x))) |
(*.f64 (/.f64 y -1) (neg.f64 (+.f64 -12/29 (*.f64 x 3)))) |
(*.f64 (*.f64 3 (-.f64 4/29 x)) (neg.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) 1/3) (+.f64 x -4/29))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) 1/3) (+.f64 x -4/29)) (sqrt.f64 y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) 1/3) (+.f64 x -4/29)) (/.f64 (sqrt.f64 y) 1)) |
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 1 (+.f64 x -4/29))) (/.f64 (sqrt.f64 y) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 y) 1/3) (/.f64 (sqrt.f64 y) (/.f64 1 (+.f64 x -4/29)))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) 1/3) (+.f64 x -4/29))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 y) 1/3) (+.f64 x -4/29)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) -1) (-.f64 4/29 x)) (/.f64 (cbrt.f64 y) 1/3)) |
(*.f64 (/.f64 (cbrt.f64 y) 1/3) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) -1) (-.f64 4/29 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (cbrt.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) |
(*.f64 (/.f64 (neg.f64 y) -1) (+.f64 -12/29 (*.f64 x 3))) |
(*.f64 (/.f64 (/.f64 y 1) 1) (+.f64 -12/29 (*.f64 x 3))) |
(*.f64 (/.f64 (/.f64 y 1) -1) (*.f64 3 (-.f64 4/29 x))) |
(*.f64 (/.f64 (/.f64 y 1) -1) (neg.f64 (+.f64 -12/29 (*.f64 x 3)))) |
(*.f64 (/.f64 (*.f64 y 3) 1) (+.f64 x -4/29)) |
(*.f64 (/.f64 (*.f64 y 3) 1) (neg.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 (*.f64 y 3) (pow.f64 (+.f64 x -4/29) -1/2)) (sqrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 (*.f64 y 3) -1) (-.f64 4/29 x)) |
(*.f64 (/.f64 (/.f64 y 1) 1/3) (+.f64 x -4/29)) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) 1) (sqrt.f64 (+.f64 -12/29 (*.f64 x 3)))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (pow.f64 (+.f64 x -4/29) -1/2)) (sqrt.f64 3)) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) 1) (cbrt.f64 (+.f64 -12/29 (*.f64 x 3)))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -4/29)))) (cbrt.f64 3)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1/3 (+.f64 x -4/29))) (cbrt.f64 y)) |
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x)) |
(*.f64 (/.f64 y (neg.f64 (/.f64 1 (-.f64 4/29 x)))) 3) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1/3 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 (neg.f64 y) (neg.f64 (/.f64 1 (-.f64 4/29 x)))) -3) |
(*.f64 (/.f64 (*.f64 y 3) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 (/.f64 y 1) -1/3) (-.f64 4/29 x)) |
(*.f64 (/.f64 (/.f64 y 1) (neg.f64 (/.f64 1 (-.f64 4/29 x)))) 3) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (sqrt.f64 (/.f64 1 (-.f64 4/29 x)))) (sqrt.f64 -3)) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (cbrt.f64 (/.f64 1 (-.f64 4/29 x)))) (cbrt.f64 -3)) |
(pow.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))) 3) |
(pow.f64 (pow.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))) 3) 1/3) |
(pow.f64 (/.f64 1/3 (*.f64 y (+.f64 x -4/29))) -1) |
(neg.f64 (/.f64 y (/.f64 1/3 (-.f64 4/29 x)))) |
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (+.f64 -12/29 (*.f64 x 3)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))))) |
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) |
(exp.f64 (log.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) |
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29)))) 1) |
(*.f64 1 (/.f64 1/3 (+.f64 x -4/29))) |
(*.f64 (/.f64 1 (+.f64 x -4/29)) 1/3) |
(*.f64 (/.f64 1/3 (+.f64 x -4/29)) 1) |
(*.f64 (pow.f64 (+.f64 x -4/29) -1/2) (*.f64 (pow.f64 (+.f64 x -4/29) -1/2) 1/3)) |
(*.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 1/3)) |
(*.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(*.f64 1/3 (/.f64 1 (+.f64 x -4/29))) |
(*.f64 (/.f64 1 (-.f64 4/29 x)) -1/3) |
(*.f64 (/.f64 1/3 (-.f64 4/29 x)) -1) |
(*.f64 -1 (/.f64 1/3 (-.f64 4/29 x))) |
(*.f64 (*.f64 (pow.f64 (+.f64 x -4/29) -1/2) 1/3) (pow.f64 (+.f64 x -4/29) -1/2)) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 1/3) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) |
(*.f64 -1/3 (/.f64 1 (-.f64 4/29 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) 1) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29))) (pow.f64 (+.f64 x -4/29) -1/2)) |
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(*.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 1 (*.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29)) |
(*.f64 (/.f64 1 (+.f64 -192/24389 (*.f64 3 (pow.f64 x 3)))) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 x -4/29)))) (pow.f64 (+.f64 x -4/29) -1/2)) |
(*.f64 (/.f64 1 (/.f64 3 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) (/.f64 1 (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) 3) (pow.f64 (+.f64 x -4/29) -1/2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 3) (/.f64 1 (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (neg.f64 (fma.f64 x x -16/841))) (neg.f64 (+.f64 x 4/29))) |
(*.f64 (/.f64 1/3 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))) |
(*.f64 (/.f64 1/3 (-.f64 16/841 (*.f64 x x))) (-.f64 -4/29 x)) |
(*.f64 (/.f64 -1/3 (neg.f64 (fma.f64 x x -16/841))) (+.f64 x 4/29)) |
(*.f64 (/.f64 -1/3 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 1) |
(pow.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) |
(pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 3) |
(pow.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3) 1/3) |
(pow.f64 (+.f64 -12/29 (*.f64 x 3)) -1) |
(neg.f64 (/.f64 1/3 (-.f64 4/29 x))) |
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x -4/29) -2) 1/9)) |
(log.f64 (exp.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(cbrt.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(exp.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(log1p.f64 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
| Outputs |
|---|
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -12/29 y) |
(*.f64 y -12/29) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
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(*.f64 (/.f64 (*.f64 y 3) 1) (+.f64 x -4/29)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (*.f64 y 3) 1) (neg.f64 (-.f64 4/29 x))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (*.f64 y 3) (pow.f64 (+.f64 x -4/29) -1/2)) (sqrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2)) (*.f64 3 (sqrt.f64 (+.f64 x -4/29)))) |
(*.f64 3 (*.f64 (sqrt.f64 (+.f64 x -4/29)) (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2)))) |
(*.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (+.f64 x -4/29)))) 3) |
(*.f64 (/.f64 (*.f64 y 3) -1) (-.f64 4/29 x)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (/.f64 y 1) 1/3) (+.f64 x -4/29)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) 1) (sqrt.f64 (+.f64 -12/29 (*.f64 x 3)))) |
(*.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 -12/29 (*.f64 3 x)))) |
(*.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (sqrt.f64 (fma.f64 3 x -12/29))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (pow.f64 (+.f64 x -4/29) -1/2)) (sqrt.f64 3)) |
(/.f64 (*.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (sqrt.f64 3)) (pow.f64 (+.f64 x -4/29) -1/2)) |
(*.f64 (sqrt.f64 3) (/.f64 (/.f64 y (pow.f64 (+.f64 x -4/29) -1/2)) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) 1) (cbrt.f64 (+.f64 -12/29 (*.f64 x 3)))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (cbrt.f64 (+.f64 -12/29 (*.f64 3 x)))) |
(/.f64 (*.f64 (cbrt.f64 (fma.f64 3 x -12/29)) y) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -4/29)))) (cbrt.f64 3)) |
(*.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (cbrt.f64 (+.f64 x -4/29))) (cbrt.f64 3)) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (*.f64 (cbrt.f64 (+.f64 x -4/29)) (cbrt.f64 3))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1/3 (+.f64 x -4/29))) (cbrt.f64 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 y (neg.f64 (/.f64 1 (-.f64 4/29 x)))) 3) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1/3 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (neg.f64 y) (neg.f64 (/.f64 1 (-.f64 4/29 x)))) -3) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (*.f64 y 3) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 (cbrt.f64 (+.f64 x -4/29)) (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) |
(*.f64 (cbrt.f64 (+.f64 x -4/29)) (*.f64 3 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)))) |
(*.f64 (/.f64 (/.f64 y 1) -1/3) (-.f64 4/29 x)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (/.f64 y 1) (neg.f64 (/.f64 1 (-.f64 4/29 x)))) 3) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (sqrt.f64 (/.f64 1 (-.f64 4/29 x)))) (sqrt.f64 -3)) |
(/.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 (sqrt.f64 (/.f64 1 (-.f64 4/29 x))) (sqrt.f64 -3))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 1 (-.f64 4/29 x)))) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (sqrt.f64 -3)) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (cbrt.f64 (/.f64 1 (-.f64 4/29 x)))) (cbrt.f64 -3)) |
(*.f64 (/.f64 y (*.f64 (cbrt.f64 (/.f64 1 (-.f64 4/29 x))) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2))) (cbrt.f64 -3)) |
(*.f64 (/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) (cbrt.f64 (/.f64 1 (-.f64 4/29 x))))) (cbrt.f64 -3)) |
(pow.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))) 1) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))) 2) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))) 3) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (pow.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))) 3) 1/3) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (/.f64 1/3 (*.f64 y (+.f64 x -4/29))) -1) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(neg.f64 (/.f64 y (/.f64 1/3 (-.f64 4/29 x)))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 -12/29 (*.f64 3 x))) 2)) |
(fabs.f64 (*.f64 y (fma.f64 3 x -12/29))) |
(log.f64 (pow.f64 (exp.f64 y) (+.f64 -12/29 (*.f64 x 3)))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3)))))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))) 3)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (/.f64 1/27 (pow.f64 (+.f64 x -4/29) 3)))) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 y 3) 1/27) (pow.f64 (+.f64 x -4/29) 3))) |
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(exp.f64 (log.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 -12/29 (*.f64 x 3))))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29)))) 1) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 1 (/.f64 1/3 (+.f64 x -4/29))) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (/.f64 1 (+.f64 x -4/29)) 1/3) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (/.f64 1/3 (+.f64 x -4/29)) 1) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (pow.f64 (+.f64 x -4/29) -1/2) (*.f64 (pow.f64 (+.f64 x -4/29) -1/2) 1/3)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 1/3)) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) (/.f64 1/3 (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 1/3 (/.f64 1 (+.f64 x -4/29))) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (/.f64 1 (-.f64 4/29 x)) -1/3) |
(/.f64 -1/3 (-.f64 4/29 x)) |
(*.f64 (/.f64 1/3 (-.f64 4/29 x)) -1) |
(/.f64 -1/3 (-.f64 4/29 x)) |
(*.f64 -1 (/.f64 1/3 (-.f64 4/29 x))) |
(/.f64 -1/3 (-.f64 4/29 x)) |
(*.f64 (*.f64 (pow.f64 (+.f64 x -4/29) -1/2) 1/3) (pow.f64 (+.f64 x -4/29) -1/2)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) 1/3) (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) (/.f64 1/3 (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 -1/3 (/.f64 1 (-.f64 4/29 x))) |
(/.f64 -1/3 (-.f64 4/29 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) 1) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29))) (pow.f64 (+.f64 x -4/29) -1/2)) |
(*.f64 (pow.f64 (+.f64 x -4/29) -1/2) (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29)))) |
(*.f64 1/3 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (+.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -4/29)))) |
(/.f64 (/.f64 1/3 (cbrt.f64 (+.f64 x -4/29))) (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) |
(/.f64 1/3 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841))) |
(*.f64 1/3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))) |
(*.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 1/3 (/.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))) (+.f64 (pow.f64 x 3) -64/24389))) |
(*.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3)))) |
(*.f64 (/.f64 1 (*.f64 3 (fma.f64 x x -16/841))) (+.f64 x 4/29)) |
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841))) |
(*.f64 1/3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))) |
(*.f64 (/.f64 1 (+.f64 -192/24389 (*.f64 3 (pow.f64 x 3)))) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))) (/.f64 1 (+.f64 -192/24389 (*.f64 3 (pow.f64 x 3))))) |
(/.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))) (fma.f64 3 (pow.f64 x 3) -192/24389)) |
(/.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (fma.f64 3 (pow.f64 x 3) -192/24389)) |
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 x -4/29)))) (pow.f64 (+.f64 x -4/29) -1/2)) |
(*.f64 (pow.f64 (+.f64 x -4/29) -1/2) (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29)))) |
(*.f64 1/3 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) (sqrt.f64 (+.f64 x -4/29)))) |
(*.f64 (/.f64 1 (/.f64 3 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)))) (/.f64 1 (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) (/.f64 1/3 (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x -4/29) -1/2) 3) (pow.f64 (+.f64 x -4/29) -1/2)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 3) (/.f64 1 (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -4/29))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 3)) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) 3) (cbrt.f64 (+.f64 x -4/29))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/29) -2)) (*.f64 3 (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (neg.f64 (fma.f64 x x -16/841))) (neg.f64 (+.f64 x 4/29))) |
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841))) |
(*.f64 1/3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))) |
(*.f64 (/.f64 1/3 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 1/3 (/.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))) (+.f64 (pow.f64 x 3) -64/24389))) |
(*.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3)))) |
(*.f64 (/.f64 1/3 (-.f64 16/841 (*.f64 x x))) (-.f64 -4/29 x)) |
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841))) |
(*.f64 1/3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))) |
(*.f64 (/.f64 -1/3 (neg.f64 (fma.f64 x x -16/841))) (+.f64 x 4/29)) |
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841))) |
(*.f64 1/3 (/.f64 (+.f64 x 4/29) (fma.f64 x x -16/841))) |
(*.f64 (/.f64 -1/3 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 1/3 (/.f64 (fma.f64 x x (-.f64 16/841 (*.f64 x -4/29))) (+.f64 (pow.f64 x 3) -64/24389))) |
(*.f64 (fma.f64 x x (+.f64 16/841 (*.f64 x 4/29))) (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3)))) |
(pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 1) |
(/.f64 1/3 (+.f64 x -4/29)) |
(pow.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) |
(/.f64 1/3 (+.f64 x -4/29)) |
(pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 3) |
(/.f64 1/3 (+.f64 x -4/29)) |
(pow.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3) 1/3) |
(/.f64 1/3 (+.f64 x -4/29)) |
(pow.f64 (+.f64 -12/29 (*.f64 x 3)) -1) |
(/.f64 1/3 (+.f64 x -4/29)) |
(neg.f64 (/.f64 1/3 (-.f64 4/29 x))) |
(/.f64 -1/3 (-.f64 4/29 x)) |
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x -4/29) -2) 1/9)) |
(log.f64 (exp.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(/.f64 1/3 (+.f64 x -4/29)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(/.f64 1/3 (+.f64 x -4/29)) |
(cbrt.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(expm1.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(/.f64 1/3 (+.f64 x -4/29)) |
(exp.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(/.f64 1/3 (+.f64 x -4/29)) |
(log1p.f64 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(/.f64 1/3 (+.f64 x -4/29)) |
Compiled 9301 to 6895 computations (25.9% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 649 | 3 | 652 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 652 | 11 | 663 |
| Status | Error | Program |
|---|---|---|
| ✓ | 32.6b | (/.f64 (*.f64 3 y) (/.f64 1 x)) |
| ✓ | 30.1b | (/.f64 (*.f64 3 y) -29/4) |
| ▶ | 0.4b | (/.f64 y (/.f64 1/3 (+.f64 x -4/29))) |
| ▶ | 32.7b | (/.f64 y (/.f64 1/3 x)) |
| ▶ | 30.2b | (/.f64 y -29/12) |
| ✓ | 0.5b | (*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
| ✓ | 0.3b | (*.f64 (*.f64 y (+.f64 x -4/29)) 3) |
| ▶ | 32.9b | (*.f64 (*.f64 x 3) y) |
| ✓ | 32.6b | (*.f64 x (*.f64 y 3)) |
| ✓ | 32.6b | (*.f64 3 (*.f64 y x)) |
| ✓ | 30.1b | (*.f64 -12/29 y) |
Compiled 81 to 62 computations (23.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.6b | (*.f64 (*.f64 x 3) y) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x 3) y) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x 3) y) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x 3) y) |
| 0.0ms | y | @ | -inf | (*.f64 (*.f64 x 3) y) |
| 0.0ms | y | @ | inf | (*.f64 (*.f64 x 3) y) |
| 1× | batch-egg-rewrite |
| 1316× | add-sqr-sqrt |
| 1302× | *-un-lft-identity |
| 1208× | add-cube-cbrt |
| 1192× | add-cbrt-cube |
| 1178× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 141 | 13 |
| 2 | 1631 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x 3) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))))))) |
| 1× | egg-herbie |
| 1464× | distribute-rgt-in |
| 1454× | distribute-lft-in |
| 1134× | log-prod |
| 1070× | associate-*r* |
| 912× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 455 |
| 1 | 86 | 455 |
| 2 | 346 | 455 |
| 3 | 2592 | 455 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1) |
(pow.f64 (*.f64 x (*.f64 3 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))) |
| Outputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (*.f64 x (*.f64 3 y)) 1) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3) |
(*.f64 3 (*.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) |
(*.f64 3 (*.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3))) |
(*.f64 3 (*.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)) |
(*.f64 3 (*.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 3 (*.f64 y x)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 3 (*.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 3 (*.f64 y x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 y -29/12) |
Compiled 7 to 5 computations (28.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 y -29/12) |
| 0.0ms | y | @ | inf | (/.f64 y -29/12) |
| 0.0ms | y | @ | -inf | (/.f64 y -29/12) |
| 1× | batch-egg-rewrite |
| 1020× | add-sqr-sqrt |
| 988× | *-un-lft-identity |
| 944× | pow1 |
| 938× | add-cube-cbrt |
| 930× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 108 | 7 |
| 2 | 1259 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y -29/12) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y -12/29)) (sqrt.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y -12/29)) (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2) (cbrt.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -12/29 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) 12/29)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -29/12 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y 29/12))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 144/841))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -12/29))))))) |
| 1× | egg-herbie |
| 1332× | associate-*r* |
| 1048× | associate-*l* |
| 820× | distribute-rgt-in |
| 816× | distribute-lft-in |
| 800× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 255 |
| 1 | 127 | 255 |
| 2 | 514 | 249 |
| 3 | 3324 | 249 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(-.f64 (+.f64 1 (*.f64 y -12/29)) 1) |
(*.f64 y -12/29) |
(*.f64 (*.f64 y -12/29) 1) |
(*.f64 1 (*.f64 y -12/29)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -12/29)) |
(*.f64 (sqrt.f64 (*.f64 y -12/29)) (sqrt.f64 (*.f64 y -12/29))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -12/29)) |
(*.f64 (cbrt.f64 (*.f64 y -12/29)) (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2) (cbrt.f64 (*.f64 y -12/29))) |
(*.f64 -12/29 y) |
(*.f64 (neg.f64 y) 12/29) |
(pow.f64 (*.f64 y -12/29) 1) |
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3) |
(pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3) |
(pow.f64 (/.f64 -29/12 y) -1) |
(neg.f64 (/.f64 y 29/12)) |
(sqrt.f64 (*.f64 (*.f64 y y) 144/841)) |
(log.f64 (exp.f64 (*.f64 y -12/29))) |
(cbrt.f64 (pow.f64 (*.f64 y -12/29) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y -12/29))) |
(exp.f64 (log.f64 (*.f64 y -12/29))) |
(log1p.f64 (expm1.f64 (*.f64 y -12/29))) |
| Outputs |
|---|
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(-.f64 (+.f64 1 (*.f64 y -12/29)) 1) |
(*.f64 -12/29 y) |
(*.f64 y -12/29) |
(*.f64 -12/29 y) |
(*.f64 (*.f64 y -12/29) 1) |
(*.f64 -12/29 y) |
(*.f64 1 (*.f64 y -12/29)) |
(*.f64 -12/29 y) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -12/29)) |
(*.f64 -12/29 y) |
(*.f64 (sqrt.f64 (*.f64 y -12/29)) (sqrt.f64 (*.f64 y -12/29))) |
(*.f64 -12/29 y) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -12/29)) |
(*.f64 -12/29 y) |
(*.f64 (cbrt.f64 (*.f64 y -12/29)) (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2)) |
(*.f64 -12/29 y) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2) (cbrt.f64 (*.f64 y -12/29))) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 (neg.f64 y) 12/29) |
(*.f64 -12/29 y) |
(pow.f64 (*.f64 y -12/29) 1) |
(*.f64 -12/29 y) |
(pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2) |
(*.f64 -12/29 y) |
(pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3) |
(*.f64 -12/29 y) |
(pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3) |
(*.f64 -12/29 y) |
(pow.f64 (/.f64 -29/12 y) -1) |
(*.f64 -12/29 y) |
(neg.f64 (/.f64 y 29/12)) |
(*.f64 -12/29 y) |
(sqrt.f64 (*.f64 (*.f64 y y) 144/841)) |
(sqrt.f64 (*.f64 y (*.f64 y 144/841))) |
(fabs.f64 (*.f64 -12/29 y)) |
(log.f64 (exp.f64 (*.f64 y -12/29))) |
(*.f64 -12/29 y) |
(cbrt.f64 (pow.f64 (*.f64 y -12/29) 3)) |
(*.f64 -12/29 y) |
(expm1.f64 (log1p.f64 (*.f64 y -12/29))) |
(*.f64 -12/29 y) |
(exp.f64 (log.f64 (*.f64 y -12/29))) |
(*.f64 -12/29 y) |
(log1p.f64 (expm1.f64 (*.f64 y -12/29))) |
(*.f64 -12/29 y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 y (/.f64 1/3 x)) |
| ✓ | 0.4b | (/.f64 1/3 x) |
Compiled 13 to 8 computations (38.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1/3 x) |
| 0.0ms | x | @ | inf | (/.f64 1/3 x) |
| 0.0ms | x | @ | -inf | (/.f64 1/3 x) |
| 0.0ms | x | @ | inf | (/.f64 y (/.f64 1/3 x)) |
| 0.0ms | y | @ | 0 | (/.f64 y (/.f64 1/3 x)) |
| 1× | batch-egg-rewrite |
| 1632× | add-sqr-sqrt |
| 1606× | *-un-lft-identity |
| 1508× | add-cube-cbrt |
| 1492× | add-cbrt-cube |
| 152× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 154 | 20 |
| 2 | 2024 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/3 x) |
(/.f64 y (/.f64 1/3 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 y 3))) (sqrt.f64 (*.f64 x (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) 2) (cbrt.f64 (*.f64 x (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y 3) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y 3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 1/3 x))) (/.f64 y (sqrt.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 y (cbrt.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y -1/3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1/3) (/.f64 (sqrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1/3) (/.f64 (cbrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (/.f64 1/3 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (cbrt.f64 (*.f64 x (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 y 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 y 3)))))))) |
| 1× | egg-herbie |
| 974× | unswap-sqr |
| 906× | associate-+l- |
| 888× | associate-+r- |
| 868× | associate-/l* |
| 724× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 1144 |
| 1 | 349 | 1144 |
| 2 | 1532 | 1144 |
| 3 | 6338 | 1144 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 x))) 1) |
(*.f64 1/3 (/.f64 1 x)) |
(*.f64 (/.f64 1/3 x) 1) |
(*.f64 1 (/.f64 1/3 x)) |
(*.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x))) |
(*.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x))) |
(*.f64 (/.f64 1 x) 1/3) |
(*.f64 -1/3 (/.f64 1 (neg.f64 x))) |
(pow.f64 (/.f64 1/3 x) 1) |
(pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3) |
(pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3) |
(pow.f64 (*.f64 x 3) -1) |
(sqrt.f64 (/.f64 1/9 (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 1/3 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 x)))) |
(cbrt.f64 (pow.f64 (/.f64 1/3 x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1/3 x))) |
(exp.f64 (log.f64 (/.f64 1/3 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1/3 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y 3)))) 1) |
(*.f64 x (*.f64 y 3)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 (*.f64 x (*.f64 y 3)) 1) |
(*.f64 1 (*.f64 x (*.f64 y 3))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 x 3))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y 3))) (sqrt.f64 (*.f64 x (*.f64 y 3)))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (*.f64 x 3))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) 2) (cbrt.f64 (*.f64 x (*.f64 y 3)))) |
(*.f64 (*.f64 y 3) x) |
(*.f64 (*.f64 x 3) y) |
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 -1/3 x))) |
(*.f64 (*.f64 (*.f64 y 3) 1) x) |
(*.f64 (*.f64 (*.f64 y 3) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 y 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 3 (/.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 1/3 x))) (/.f64 y (sqrt.f64 (/.f64 1/3 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 y (cbrt.f64 (/.f64 1/3 x)))) |
(*.f64 (/.f64 y 1) (*.f64 x 3)) |
(*.f64 (/.f64 y -1/3) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 y) 1/3) (/.f64 (sqrt.f64 y) (/.f64 1 x))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 1/3 x))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1/3) (/.f64 (cbrt.f64 y) (/.f64 1 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 1/3 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (/.f64 1/3 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (cbrt.f64 (*.f64 x (*.f64 y 3)))) |
(pow.f64 (*.f64 x (*.f64 y 3)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y 3))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 3) 1/3) |
(pow.f64 (/.f64 1/3 (*.f64 y x)) -1) |
(neg.f64 (/.f64 y (/.f64 -1/3 x))) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 y 3))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y 3)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 y 3)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y 3))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y 3)))) |
| Outputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 x))) 1) |
(/.f64 1/3 x) |
(*.f64 1/3 (/.f64 1 x)) |
(/.f64 1/3 x) |
(*.f64 (/.f64 1/3 x) 1) |
(/.f64 1/3 x) |
(*.f64 1 (/.f64 1/3 x)) |
(/.f64 1/3 x) |
(*.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x))) |
(/.f64 1/3 x) |
(*.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) |
(/.f64 1/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x))) |
(/.f64 1/3 x) |
(*.f64 (/.f64 1 x) 1/3) |
(/.f64 1/3 x) |
(*.f64 -1/3 (/.f64 1 (neg.f64 x))) |
(/.f64 1/3 x) |
(pow.f64 (/.f64 1/3 x) 1) |
(/.f64 1/3 x) |
(pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2) |
(/.f64 1/3 x) |
(pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3) |
(/.f64 1/3 x) |
(pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3) |
(/.f64 1/3 x) |
(pow.f64 (*.f64 x 3) -1) |
(/.f64 1/3 x) |
(sqrt.f64 (/.f64 1/9 (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 1/3 x))) |
(/.f64 1/3 x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 x)))) |
(/.f64 1/3 x) |
(cbrt.f64 (pow.f64 (/.f64 1/3 x) 3)) |
(/.f64 1/3 x) |
(expm1.f64 (log1p.f64 (/.f64 1/3 x))) |
(/.f64 1/3 x) |
(exp.f64 (log.f64 (/.f64 1/3 x))) |
(/.f64 1/3 x) |
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 x)) 1)) |
(/.f64 1/3 x) |
(log1p.f64 (expm1.f64 (/.f64 1/3 x))) |
(/.f64 1/3 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y 3)))) 1) |
(*.f64 3 (*.f64 y x)) |
(*.f64 x (*.f64 y 3)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 x (*.f64 y 3)) 1) |
(*.f64 3 (*.f64 y x)) |
(*.f64 1 (*.f64 x (*.f64 y 3))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 x 3))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y 3))) (sqrt.f64 (*.f64 x (*.f64 y 3)))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (*.f64 x 3))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (*.f64 3 x) (cbrt.f64 y))) |
(*.f64 (*.f64 3 x) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(*.f64 3 (*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 x (cbrt.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) 2)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) 2) (cbrt.f64 (*.f64 x (*.f64 y 3)))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 y 3) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 x 3) y) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 -1/3 x))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 (*.f64 y 3) 1) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 (*.f64 y 3) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 (*.f64 y 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (/.f64 y (/.f64 1 x))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 1/3 x))) (/.f64 y (sqrt.f64 (/.f64 1/3 x)))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 y (cbrt.f64 (/.f64 1/3 x)))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 y 1) (*.f64 x 3)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 y -1/3) (neg.f64 x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) 1/3) (/.f64 (sqrt.f64 y) (/.f64 1 x))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 1/3 x))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 x)))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1/3) (/.f64 (cbrt.f64 y) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (*.f64 3 x) (cbrt.f64 y))) |
(*.f64 (*.f64 3 x) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(*.f64 3 (*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 x (cbrt.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 1/3 x))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (*.f64 3 x) (cbrt.f64 y))) |
(*.f64 (*.f64 3 x) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(*.f64 3 (*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 x (cbrt.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (/.f64 1/3 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 x)))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (*.f64 3 x) (cbrt.f64 y))) |
(*.f64 (*.f64 3 x) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(*.f64 3 (*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 x (cbrt.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) (cbrt.f64 (*.f64 x (*.f64 y 3)))) |
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))) |
(pow.f64 (*.f64 x (*.f64 y 3)) 1) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y 3))) 2) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 3))) 3) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 3) 1/3) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (/.f64 1/3 (*.f64 y x)) -1) |
(*.f64 3 (*.f64 y x)) |
(neg.f64 (/.f64 y (/.f64 -1/3 x))) |
(*.f64 3 (*.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 2)) |
(*.f64 3 (*.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3))) |
(*.f64 3 (*.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 y 3))))) |
(*.f64 3 (*.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y 3)) 3)) |
(*.f64 3 (*.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y 3)))) |
(*.f64 3 (*.f64 y x)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 y 3)))) |
(*.f64 3 (*.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y 3))) 1)) |
(*.f64 3 (*.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y 3)))) |
(*.f64 3 (*.f64 y x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x -4/29) | |
| ✓ | 0.2b | (/.f64 1/3 (+.f64 x -4/29)) |
| ✓ | 0.3b | (/.f64 y (/.f64 1/3 (+.f64 x -4/29))) |
Compiled 21 to 15 computations (28.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 y (/.f64 1/3 (+.f64 x -4/29))) |
| 0.0ms | x | @ | -inf | (/.f64 1/3 (+.f64 x -4/29)) |
| 0.0ms | x | @ | inf | (/.f64 1/3 (+.f64 x -4/29)) |
| 0.0ms | x | @ | 0 | (/.f64 1/3 (+.f64 x -4/29)) |
| 0.0ms | x | @ | inf | (/.f64 y (/.f64 1/3 (+.f64 x -4/29))) |
| 1× | batch-egg-rewrite |
| 1444× | associate-*l/ |
| 1264× | associate-/r* |
| 956× | *-commutative |
| 830× | associate-/l* |
| 632× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 206 | 32 |
| 2 | 2757 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (/.f64 1/3 (+.f64 x -4/29))) |
(/.f64 1/3 (+.f64 x -4/29)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -4/29 (*.f64 y 3)) (*.f64 x (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 y 3)) (*.f64 -4/29 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 x (*.f64 y 3))) (*.f64 1 (*.f64 -4/29 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 -4/29 (*.f64 y 3))) (*.f64 1 (*.f64 x (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y -1/3) 4/29) (*.f64 (/.f64 y -1/3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y -1/3) (neg.f64 x)) (*.f64 (/.f64 y -1/3) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 y 3)) 1) (*.f64 (*.f64 -4/29 (*.f64 y 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -4/29 (*.f64 y 3)) 1) (*.f64 (*.f64 x (*.f64 y 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4/29 (/.f64 y -1/3)) (*.f64 (neg.f64 x) (/.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) (/.f64 y -1/3)) (*.f64 4/29 (/.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 (*.f64 3 x) -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -4/29) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) (sqrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 (*.f64 3 x) -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 3 x) -12/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 x -4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29)))))))) |
| 1× | egg-herbie |
| 1258× | associate-/l/ |
| 1174× | unswap-sqr |
| 956× | associate-/r/ |
| 590× | *-commutative |
| 474× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 395 | 4482 |
| 1 | 1229 | 3884 |
| 2 | 4434 | 3872 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
-29/12 |
(-.f64 (*.f64 -841/48 x) 29/12) |
(-.f64 (+.f64 (*.f64 -24389/192 (pow.f64 x 2)) (*.f64 -841/48 x)) 29/12) |
(-.f64 (+.f64 (*.f64 -707281/768 (pow.f64 x 3)) (+.f64 (*.f64 -24389/192 (pow.f64 x 2)) (*.f64 -841/48 x))) 29/12) |
(/.f64 1/3 x) |
(+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))) |
(+.f64 (*.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x)))) |
(+.f64 (*.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 64/73167 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 x))))) |
(/.f64 1/3 x) |
(+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))) |
(+.f64 (*.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x)))) |
(+.f64 (*.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 64/73167 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 x))))) |
(+.f64 (*.f64 -4/29 (*.f64 y 3)) (*.f64 x (*.f64 y 3))) |
(+.f64 (*.f64 x (*.f64 y 3)) (*.f64 -4/29 (*.f64 y 3))) |
(+.f64 (*.f64 1 (*.f64 x (*.f64 y 3))) (*.f64 1 (*.f64 -4/29 (*.f64 y 3)))) |
(+.f64 (*.f64 1 (*.f64 -4/29 (*.f64 y 3))) (*.f64 1 (*.f64 x (*.f64 y 3)))) |
(+.f64 (*.f64 (/.f64 y -1/3) 4/29) (*.f64 (/.f64 y -1/3) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 y -1/3) (neg.f64 x)) (*.f64 (/.f64 y -1/3) 4/29)) |
(+.f64 (*.f64 (*.f64 x (*.f64 y 3)) 1) (*.f64 (*.f64 -4/29 (*.f64 y 3)) 1)) |
(+.f64 (*.f64 (*.f64 -4/29 (*.f64 y 3)) 1) (*.f64 (*.f64 x (*.f64 y 3)) 1)) |
(+.f64 (*.f64 4/29 (/.f64 y -1/3)) (*.f64 (neg.f64 x) (/.f64 y -1/3))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 y -1/3)) (*.f64 4/29 (/.f64 y -1/3))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))) 1) |
(*.f64 y (+.f64 (*.f64 3 x) -12/29)) |
(*.f64 (+.f64 x -4/29) (*.f64 y 3)) |
(*.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)) 1) |
(*.f64 1 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) (sqrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 (*.f64 3 x) -12/29))) |
(*.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 y 3))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) 2) (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 (*.f64 3 x) -12/29))) |
(*.f64 (cbrt.f64 (+.f64 x -4/29)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (*.f64 y 3))) |
(*.f64 (*.f64 y 3) (+.f64 x -4/29)) |
(*.f64 (*.f64 y 3) (neg.f64 (-.f64 4/29 x))) |
(*.f64 (+.f64 (*.f64 3 x) -12/29) y) |
(*.f64 (+.f64 (*.f64 3 x) -12/29) (/.f64 y 1)) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(*.f64 3 (*.f64 (/.f64 y 1) (+.f64 x -4/29))) |
(*.f64 (neg.f64 y) (*.f64 -3 (+.f64 x -4/29))) |
(*.f64 (-.f64 4/29 x) (/.f64 y -1/3)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 x -4/29)) (*.f64 y 3)) (sqrt.f64 (+.f64 x -4/29))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (*.f64 y 3)) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 (*.f64 (sqrt.f64 y) (+.f64 (*.f64 3 x) -12/29)) (sqrt.f64 y)) |
(*.f64 (*.f64 (cbrt.f64 y) (+.f64 (*.f64 3 x) -12/29)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 y 1) (+.f64 (*.f64 3 x) -12/29)) |
(*.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (*.f64 1 (sqrt.f64 (+.f64 (*.f64 3 x) -12/29)))) |
(*.f64 (*.f64 1 (sqrt.f64 (+.f64 (*.f64 3 x) -12/29))) (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (/.f64 y (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(*.f64 (*.f64 (/.f64 y 1) (+.f64 x -4/29)) 3) |
(*.f64 (/.f64 y (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2))) |
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x)) |
(*.f64 -3 (*.f64 y (-.f64 4/29 x))) |
(*.f64 (*.f64 -3 (+.f64 x -4/29)) (neg.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 y) 1/3) (*.f64 (/.f64 (sqrt.f64 y) 1) (+.f64 x -4/29))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) 1) (+.f64 x -4/29)) (/.f64 (sqrt.f64 y) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (*.f64 (/.f64 (sqrt.f64 y) 1/3) (+.f64 x -4/29))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) 1/3) (+.f64 x -4/29)) (sqrt.f64 y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) 1/3) (+.f64 x -4/29)) (/.f64 (sqrt.f64 y) 1)) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/3) (*.f64 (/.f64 (cbrt.f64 y) 1) (+.f64 x -4/29))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 y) 1) (+.f64 x -4/29)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/3)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (/.f64 (cbrt.f64 y) 1/3) (+.f64 x -4/29))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 y) 1/3) (+.f64 x -4/29)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))) |
(*.f64 (/.f64 (*.f64 y 3) 1) (+.f64 x -4/29)) |
(*.f64 (/.f64 (neg.f64 y) 1/3) (-.f64 4/29 x)) |
(*.f64 (/.f64 (neg.f64 y) -1) (+.f64 (*.f64 3 x) -12/29)) |
(*.f64 (/.f64 (/.f64 y 1) 1/3) (+.f64 x -4/29)) |
(*.f64 (/.f64 (/.f64 y 1) 1/3) (neg.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 (/.f64 y 1) 1) (+.f64 (*.f64 3 x) -12/29)) |
(*.f64 (/.f64 (/.f64 y 1) -1/3) (-.f64 4/29 x)) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) 1) (sqrt.f64 (+.f64 (*.f64 3 x) -12/29))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (sqrt.f64 1/3)) (sqrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) 1) (cbrt.f64 (+.f64 (*.f64 3 x) -12/29))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (cbrt.f64 1/3)) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 y -1) (neg.f64 (+.f64 (*.f64 3 x) -12/29))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1/3 (+.f64 x -4/29))) (cbrt.f64 y)) |
(*.f64 (/.f64 y (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 y (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1/3 (+.f64 x -4/29)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 (*.f64 y 3) (/.f64 1 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 (*.f64 y 3) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 (*.f64 y 3) -1) (-.f64 4/29 x)) |
(*.f64 (/.f64 (*.f64 (*.f64 y 3) (fma.f64 x x -16/841)) (fma.f64 x x -16/841)) (+.f64 x -4/29)) |
(*.f64 (/.f64 (*.f64 (*.f64 y 3) (fma.f64 x x -16/841)) (-.f64 (pow.f64 x 3) -64/24389)) (+.f64 (*.f64 x x) (+.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 (*.f64 (*.f64 y 3) (+.f64 -64/24389 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 16/841 (*.f64 x -4/29)) (-.f64 16/841 (*.f64 x -4/29))))) (+.f64 (fma.f64 x x -16/841) (*.f64 x -4/29))) |
(*.f64 (/.f64 (*.f64 (*.f64 y 3) (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 16/841 (*.f64 x -4/29)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 16/841 (*.f64 x -4/29)) (-.f64 16/841 (*.f64 x -4/29))) (*.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))))) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29)))) (sqrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 (/.f64 (/.f64 y 1) -1) (neg.f64 (+.f64 (*.f64 3 x) -12/29))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (sqrt.f64 -1/3)) (sqrt.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (cbrt.f64 -1/3)) (cbrt.f64 (-.f64 4/29 x))) |
(pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)) 3) 1/3) |
(pow.f64 (/.f64 1/3 (*.f64 y (+.f64 x -4/29))) -1) |
(neg.f64 (*.f64 (*.f64 y 3) (-.f64 4/29 x))) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (+.f64 (*.f64 3 x) -12/29))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))) |
(exp.f64 (log.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))) |
(+.f64 (*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) x) (*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) 4/29)) |
(+.f64 (*.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (-.f64 16/841 (*.f64 x -4/29)))) |
(+.f64 (*.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (-.f64 16/841 (*.f64 x -4/29))) (*.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 x x))) |
(+.f64 (*.f64 x (/.f64 1/3 (fma.f64 x x -16/841))) (*.f64 4/29 (/.f64 1/3 (fma.f64 x x -16/841)))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3)))) (*.f64 (-.f64 16/841 (*.f64 x -4/29)) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))))) |
(+.f64 (*.f64 (-.f64 16/841 (*.f64 x -4/29)) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3)))) (*.f64 (*.f64 x x) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29)))) 1) |
(*.f64 1/3 (/.f64 1 (+.f64 x -4/29))) |
(*.f64 (/.f64 1/3 (+.f64 x -4/29)) 1) |
(*.f64 1 (/.f64 1/3 (+.f64 x -4/29))) |
(*.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(*.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841))) |
(*.f64 (/.f64 1 (+.f64 x -4/29)) 1/3) |
(*.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3)))) |
(*.f64 -1/3 (/.f64 -1 (+.f64 x -4/29))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 1/3 (cbrt.f64 (+.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(*.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 (*.f64 1/3 x) 4/87)) |
(*.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 1/3 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 -1 (/.f64 1/3 (-.f64 4/29 x))) |
(*.f64 (/.f64 -1 (+.f64 x -4/29)) -1/3) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) 1) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (neg.f64 (fma.f64 x x -16/841))) (neg.f64 (+.f64 x 4/29))) |
(*.f64 (/.f64 1/3 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 -1/3 (neg.f64 (fma.f64 x x -16/841))) (+.f64 x 4/29)) |
(*.f64 (/.f64 -1/3 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(*.f64 (/.f64 1/3 (-.f64 16/841 (*.f64 x x))) (-.f64 -4/29 x)) |
(*.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (+.f64 x 4/29))) |
(*.f64 (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29))) |
(pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 1) |
(pow.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) |
(pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 3) |
(pow.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3) 1/3) |
(pow.f64 (+.f64 (*.f64 3 x) -12/29) -1) |
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 x -4/29) 2))) |
(log.f64 (exp.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(cbrt.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(exp.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(log1p.f64 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
| Outputs |
|---|
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -12/29 y) |
(*.f64 y -12/29) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
-29/12 |
(-.f64 (*.f64 -841/48 x) 29/12) |
(fma.f64 -841/48 x -29/12) |
(fma.f64 x -841/48 -29/12) |
(-.f64 (+.f64 (*.f64 -24389/192 (pow.f64 x 2)) (*.f64 -841/48 x)) 29/12) |
(+.f64 (*.f64 -24389/192 (*.f64 x x)) (fma.f64 -841/48 x -29/12)) |
(fma.f64 -24389/192 (*.f64 x x) (fma.f64 x -841/48 -29/12)) |
(-.f64 (+.f64 (*.f64 -707281/768 (pow.f64 x 3)) (+.f64 (*.f64 -24389/192 (pow.f64 x 2)) (*.f64 -841/48 x))) 29/12) |
(+.f64 (fma.f64 -707281/768 (pow.f64 x 3) (fma.f64 -24389/192 (*.f64 x x) (*.f64 x -841/48))) -29/12) |
(fma.f64 -707281/768 (pow.f64 x 3) (fma.f64 -24389/192 (*.f64 x x) (fma.f64 x -841/48 -29/12))) |
(/.f64 1/3 x) |
(+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))) |
(+.f64 (/.f64 4/87 (*.f64 x x)) (/.f64 1/3 x)) |
(+.f64 (*.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x)))) |
(+.f64 (+.f64 (/.f64 16/2523 (pow.f64 x 3)) (/.f64 4/87 (*.f64 x x))) (/.f64 1/3 x)) |
(+.f64 (/.f64 1/3 x) (+.f64 (/.f64 4/87 (*.f64 x x)) (/.f64 16/2523 (pow.f64 x 3)))) |
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 16/2523 (pow.f64 x 3)))) |
(+.f64 (*.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 64/73167 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 x))))) |
(+.f64 (+.f64 (/.f64 16/2523 (pow.f64 x 3)) (/.f64 4/87 (*.f64 x x))) (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4)))) |
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4))) (/.f64 16/2523 (pow.f64 x 3)))) |
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 64/73167 (pow.f64 x 4)) (/.f64 16/2523 (pow.f64 x 3))))) |
(/.f64 1/3 x) |
(+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))) |
(+.f64 (/.f64 4/87 (*.f64 x x)) (/.f64 1/3 x)) |
(+.f64 (*.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x)))) |
(+.f64 (+.f64 (/.f64 16/2523 (pow.f64 x 3)) (/.f64 4/87 (*.f64 x x))) (/.f64 1/3 x)) |
(+.f64 (/.f64 1/3 x) (+.f64 (/.f64 4/87 (*.f64 x x)) (/.f64 16/2523 (pow.f64 x 3)))) |
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 16/2523 (pow.f64 x 3)))) |
(+.f64 (*.f64 16/2523 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/87 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 64/73167 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 x))))) |
(+.f64 (+.f64 (/.f64 16/2523 (pow.f64 x 3)) (/.f64 4/87 (*.f64 x x))) (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4)))) |
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/3 x) (/.f64 64/73167 (pow.f64 x 4))) (/.f64 16/2523 (pow.f64 x 3)))) |
(+.f64 (/.f64 4/87 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 64/73167 (pow.f64 x 4)) (/.f64 16/2523 (pow.f64 x 3))))) |
(+.f64 (*.f64 -4/29 (*.f64 y 3)) (*.f64 x (*.f64 y 3))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 x (*.f64 y 3)) (*.f64 -4/29 (*.f64 y 3))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 1 (*.f64 x (*.f64 y 3))) (*.f64 1 (*.f64 -4/29 (*.f64 y 3)))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 1 (*.f64 -4/29 (*.f64 y 3))) (*.f64 1 (*.f64 x (*.f64 y 3)))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (/.f64 y -1/3) 4/29) (*.f64 (/.f64 y -1/3) (neg.f64 x))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (/.f64 y -1/3) (neg.f64 x)) (*.f64 (/.f64 y -1/3) 4/29)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (*.f64 x (*.f64 y 3)) 1) (*.f64 (*.f64 -4/29 (*.f64 y 3)) 1)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (*.f64 -4/29 (*.f64 y 3)) 1) (*.f64 (*.f64 x (*.f64 y 3)) 1)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 4/29 (/.f64 y -1/3)) (*.f64 (neg.f64 x) (/.f64 y -1/3))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 y -1/3)) (*.f64 4/29 (/.f64 y -1/3))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))) 1) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 y (+.f64 (*.f64 3 x) -12/29)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (+.f64 x -4/29) (*.f64 y 3)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)) 1) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 1 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) |
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(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2))) (cbrt.f64 (+.f64 x -4/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (/.f64 y 1) -1) (neg.f64 (+.f64 (*.f64 3 x) -12/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (sqrt.f64 -1/3)) (sqrt.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 y (*.f64 (sqrt.f64 -1/3) (sqrt.f64 (/.f64 1/3 (-.f64 x 4/29))))) (sqrt.f64 (-.f64 4/29 x))) |
(/.f64 (*.f64 (/.f64 y (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) (sqrt.f64 (-.f64 4/29 x))) (sqrt.f64 -1/3)) |
(*.f64 (/.f64 y (*.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (sqrt.f64 -1/3))) (sqrt.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) (cbrt.f64 -1/3)) (cbrt.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 y (*.f64 (cbrt.f64 -1/3) (pow.f64 (cbrt.f64 (/.f64 1/3 (-.f64 x 4/29))) 2))) (cbrt.f64 (-.f64 4/29 x))) |
(*.f64 (/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) (cbrt.f64 -1/3))) (cbrt.f64 (-.f64 4/29 x))) |
(pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)) 1) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) 2) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))) 3) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)) 3) 1/3) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(pow.f64 (/.f64 1/3 (*.f64 y (+.f64 x -4/29))) -1) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(neg.f64 (*.f64 (*.f64 y 3) (-.f64 4/29 x))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 3 (-.f64 x 4/29))) 2)) |
(fabs.f64 (*.f64 y (fma.f64 3 x -12/29))) |
(log.f64 (pow.f64 (exp.f64 y) (+.f64 (*.f64 3 x) -12/29))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3))))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)) 3)) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(exp.f64 (log.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x -4/29) (*.f64 y 3)))) |
(*.f64 y (*.f64 3 (-.f64 x 4/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) x) (*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) 4/29)) |
(*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (fma.f64 x 1/3 4/87) (fma.f64 x x -16/841)) |
(+.f64 (*.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(*.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(+.f64 (*.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (-.f64 16/841 (*.f64 x -4/29))) (*.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 x x))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(*.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(+.f64 (*.f64 x (/.f64 1/3 (fma.f64 x x -16/841))) (*.f64 4/29 (/.f64 1/3 (fma.f64 x x -16/841)))) |
(*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (fma.f64 x 1/3 4/87) (fma.f64 x x -16/841)) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3)))) (*.f64 (-.f64 16/841 (*.f64 x -4/29)) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(*.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(+.f64 (*.f64 (-.f64 16/841 (*.f64 x -4/29)) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3)))) (*.f64 (*.f64 x x) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(*.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29)))) 1) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 1/3 (/.f64 1 (+.f64 x -4/29))) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (/.f64 1/3 (+.f64 x -4/29)) 1) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 1 (/.f64 1/3 (+.f64 x -4/29))) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2)) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (+.f64 x 4/29) (/.f64 1/3 (fma.f64 x x -16/841))) |
(*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (fma.f64 x 1/3 4/87) (fma.f64 x x -16/841)) |
(*.f64 (/.f64 1 (+.f64 x -4/29)) 1/3) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))) (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(*.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(*.f64 -1/3 (/.f64 -1 (+.f64 x -4/29))) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -4/29))) (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29)))) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (/.f64 1/3 (cbrt.f64 (+.f64 x -4/29)))) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (fma.f64 x 1/3 4/87) (fma.f64 x x -16/841)) |
(*.f64 (/.f64 1/3 (+.f64 -64/24389 (pow.f64 x 3))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(*.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(*.f64 (/.f64 1 (fma.f64 x x -16/841)) (+.f64 (*.f64 1/3 x) 4/87)) |
(*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (fma.f64 x 1/3 4/87) (fma.f64 x x -16/841)) |
(*.f64 (/.f64 1 (+.f64 -64/24389 (pow.f64 x 3))) (*.f64 1/3 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(*.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(*.f64 -1 (/.f64 1/3 (-.f64 4/29 x))) |
(/.f64 -1/3 (-.f64 4/29 x)) |
(*.f64 (/.f64 -1 (+.f64 x -4/29)) -1/3) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) 1) (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(*.f64 (/.f64 1/3 (neg.f64 (fma.f64 x x -16/841))) (neg.f64 (+.f64 x 4/29))) |
(*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (fma.f64 x 1/3 4/87) (fma.f64 x x -16/841)) |
(*.f64 (/.f64 1/3 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(*.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(*.f64 (/.f64 -1/3 (neg.f64 (fma.f64 x x -16/841))) (+.f64 x 4/29)) |
(*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (fma.f64 x 1/3 4/87) (fma.f64 x x -16/841)) |
(*.f64 (/.f64 -1/3 (neg.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))) |
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 x 3) -64/24389)) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(*.f64 (/.f64 -1/3 (-.f64 64/24389 (pow.f64 x 3))) (fma.f64 x (+.f64 x 4/29) 16/841)) |
(*.f64 (/.f64 1/3 (-.f64 16/841 (*.f64 x x))) (-.f64 -4/29 x)) |
(*.f64 (/.f64 1/3 (fma.f64 x x -16/841)) (+.f64 x 4/29)) |
(/.f64 (fma.f64 x 1/3 4/87) (fma.f64 x x -16/841)) |
(*.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 1/3 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (sqrt.f64 (-.f64 x 4/29)))) (sqrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 1/3 (*.f64 (sqrt.f64 (+.f64 x -4/29)) (sqrt.f64 (+.f64 (pow.f64 x 3) -64/24389)))) (sqrt.f64 (fma.f64 x (+.f64 x 4/29) 16/841))) |
(*.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29))) (sqrt.f64 (fma.f64 x x -16/841))) (sqrt.f64 (+.f64 x 4/29))) |
(*.f64 (/.f64 1/3 (*.f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (-.f64 x 4/29)))) (sqrt.f64 (+.f64 x 4/29))) |
(/.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -4/29))) (/.f64 (sqrt.f64 (fma.f64 x x -16/841)) (sqrt.f64 (+.f64 x 4/29)))) |
(*.f64 (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 -64/24389 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389)) (pow.f64 (cbrt.f64 (-.f64 x 4/29)) 2))) (cbrt.f64 (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))) |
(*.f64 (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) -64/24389))) (cbrt.f64 (fma.f64 x (+.f64 x 4/29) 16/841))) |
(*.f64 (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2)) (cbrt.f64 (fma.f64 x x -16/841))) (cbrt.f64 (+.f64 x 4/29))) |
(*.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (fma.f64 x x -16/841)) (pow.f64 (cbrt.f64 (-.f64 x 4/29)) 2))) (cbrt.f64 (+.f64 x 4/29))) |
(*.f64 (/.f64 1/3 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x -4/29)) 2) (cbrt.f64 (fma.f64 x x -16/841)))) (cbrt.f64 (+.f64 x 4/29))) |
(pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 1) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(pow.f64 (sqrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 2) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(pow.f64 (cbrt.f64 (/.f64 1/3 (+.f64 x -4/29))) 3) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(pow.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3) 1/3) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(pow.f64 (+.f64 (*.f64 3 x) -12/29) -1) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 x -4/29) 2))) |
(sqrt.f64 (/.f64 1/9 (pow.f64 (-.f64 x 4/29) 2))) |
(log.f64 (exp.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29))))) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(cbrt.f64 (pow.f64 (/.f64 1/3 (+.f64 x -4/29)) 3)) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(expm1.f64 (log1p.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(exp.f64 (log.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
(log1p.f64 (expm1.f64 (/.f64 1/3 (+.f64 x -4/29)))) |
(/.f64 1/3 (-.f64 x 4/29)) |
(/.f64 1/3 (+.f64 x -4/29)) |
Compiled 4569 to 3354 computations (26.6% saved)
12 alts after pruning (1 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 361 | 1 | 362 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 10 | 10 |
| Total | 361 | 12 | 373 |
| Status | Error | Program |
|---|---|---|
| ✓ | 32.6b | (/.f64 (*.f64 3 y) (/.f64 1 x)) |
| ✓ | 30.1b | (/.f64 (*.f64 3 y) -29/4) |
| ✓ | 0.4b | (/.f64 y (/.f64 1/3 (+.f64 x -4/29))) |
| ✓ | 32.7b | (/.f64 y (/.f64 1/3 x)) |
| ✓ | 30.2b | (/.f64 y -29/12) |
| 32.6b | (*.f64 (/.f64 y -1/3) (neg.f64 x)) | |
| ✓ | 0.5b | (*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
| ✓ | 0.3b | (*.f64 (*.f64 y (+.f64 x -4/29)) 3) |
| ✓ | 32.9b | (*.f64 (*.f64 x 3) y) |
| ✓ | 32.6b | (*.f64 x (*.f64 y 3)) |
| ✓ | 32.6b | (*.f64 3 (*.f64 y x)) |
| ✓ | 30.1b | (*.f64 -12/29 y) |
Compiled 89 to 68 computations (23.6% saved)
| Inputs |
|---|
(*.f64 -12/29 y) |
(/.f64 y -29/12) |
(*.f64 -4/29 (*.f64 3 y)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 x (*.f64 y 3)) |
(*.f64 (*.f64 x 3) y) |
(/.f64 y (/.f64 1/3 x)) |
(/.f64 (*.f64 3 y) -29/4) |
(*.f64 (/.f64 y -1/3) (neg.f64 x)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 (*.f64 y (+.f64 x -4/29)) 3) |
(*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (/.f64 y -1/3) (-.f64 4/29 x)) |
(/.f64 y (/.f64 1/3 (+.f64 x -4/29))) |
(/.f64 (*.f64 3 y) (/.f64 1 x)) |
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
(*.f64 (/.f64 3 (/.f64 1 (+.f64 x -4/29))) y) |
(+.f64 (*.f64 (*.f64 x 3) y) (*.f64 -12/29 y)) |
(/.f64 y (/.f64 (/.f64 1 (+.f64 x -4/29)) 3)) |
(/.f64 (*.f64 3 y) (/.f64 1 (+.f64 x -4/29))) |
(*.f64 (/.f64 (-.f64 16/841 (*.f64 x x)) (-.f64 -4/29 x)) (*.f64 3 y)) |
(*.f64 (fma.f64 x 3 -12/29) y) |
(/.f64 (*.f64 (fma.f64 x x -16/841) -3) (/.f64 (-.f64 -4/29 x) y)) |
(*.f64 (/.f64 (+.f64 (*.f64 3 (pow.f64 x 3)) -192/24389) (+.f64 (*.f64 x x) (-.f64 16/841 (*.f64 x -4/29)))) y) |
| Outputs |
|---|
(*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
5 calls:
| 13.0ms | x |
| 12.0ms | (*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
| 12.0ms | y |
| 8.0ms | (-.f64 x (/.f64 16 116)) |
| 7.0ms | (*.f64 (-.f64 x (/.f64 16 116)) 3) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | y |
| 0.2b | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
| 0.2b | 1 | (*.f64 (-.f64 x (/.f64 16 116)) 3) |
| 0.2b | 1 | (-.f64 x (/.f64 16 116)) |
Compiled 221 to 160 computations (27.6% saved)
| Inputs |
|---|
(*.f64 -12/29 y) |
(/.f64 y -29/12) |
(*.f64 -4/29 (*.f64 3 y)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 x (*.f64 y 3)) |
(*.f64 (*.f64 x 3) y) |
(/.f64 y (/.f64 1/3 x)) |
(/.f64 (*.f64 3 y) -29/4) |
(*.f64 (/.f64 y -1/3) (neg.f64 x)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 (*.f64 y (+.f64 x -4/29)) 3) |
| Outputs |
|---|
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
2 calls:
| 7.0ms | x |
| 6.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | y |
Compiled 64 to 44 computations (31.3% saved)
| Inputs |
|---|
(*.f64 -12/29 y) |
(/.f64 y -29/12) |
(*.f64 -4/29 (*.f64 3 y)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 x (*.f64 y 3)) |
(*.f64 (*.f64 x 3) y) |
(/.f64 y (/.f64 1/3 x)) |
(/.f64 (*.f64 3 y) -29/4) |
(*.f64 (/.f64 y -1/3) (neg.f64 x)) |
| Outputs |
|---|
(*.f64 x (*.f64 y 3)) |
(*.f64 -12/29 y) |
(*.f64 x (*.f64 y 3)) |
2 calls:
| 109.0ms | y |
| 19.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 3 | x |
| 18.4b | 11 | y |
Compiled 50 to 34 computations (32% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 0.007762797861242072 | 7.62822889830347 |
| 17.0ms | -258670095.3116068 | -3.3499842718097953e-5 |
| 60.0ms | 288× | body | 256 | valid |
Compiled 268 to 211 computations (21.3% saved)
| Inputs |
|---|
(*.f64 -12/29 y) |
(/.f64 y -29/12) |
(*.f64 -4/29 (*.f64 3 y)) |
(*.f64 3 (*.f64 y x)) |
| Outputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 -12/29 y) |
(*.f64 3 (*.f64 y x)) |
2 calls:
| 40.0ms | y |
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 3 | x |
| 18.5b | 11 | y |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.007762797861242072 | 7.62822889830347 |
| 17.0ms | -258670095.3116068 | -3.3499842718097953e-5 |
| 27.0ms | 288× | body | 256 | valid |
Compiled 268 to 211 computations (21.3% saved)
Total -0.2b remaining (-0.8%)
Threshold costs -0.2b (-0.8%)
| Inputs |
|---|
(*.f64 -12/29 y) |
(/.f64 y -29/12) |
(*.f64 -4/29 (*.f64 3 y)) |
| Outputs |
|---|
(*.f64 -12/29 y) |
2 calls:
| 4.0ms | x |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 30.1b | 1 | x |
| 30.1b | 1 | y |
Compiled 19 to 14 computations (26.3% saved)
| 1× | egg-herbie |
| 16× | *-commutative |
| 4× | if-if-or-not |
| 2× | sub-neg |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 135 |
| 1 | 49 | 135 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(if (<=.f64 x -1261007895663739/9007199254740992) (*.f64 x (*.f64 y 3)) (if (<=.f64 x 1261007895663739/9007199254740992) (*.f64 -12/29 y) (*.f64 x (*.f64 y 3)))) |
(if (<=.f64 x -1261007895663739/9007199254740992) (*.f64 3 (*.f64 y x)) (if (<=.f64 x 1261007895663739/9007199254740992) (*.f64 -12/29 y) (*.f64 3 (*.f64 y x)))) |
(*.f64 -12/29 y) |
| Outputs |
|---|
(*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
(*.f64 (*.f64 3 y) (+.f64 x -4/29)) |
(*.f64 3 (*.f64 y (-.f64 x 4/29))) |
(*.f64 3 (*.f64 y (+.f64 x -4/29))) |
(if (<=.f64 x -1261007895663739/9007199254740992) (*.f64 x (*.f64 y 3)) (if (<=.f64 x 1261007895663739/9007199254740992) (*.f64 -12/29 y) (*.f64 x (*.f64 y 3)))) |
(if (or (<=.f64 x -1261007895663739/9007199254740992) (not (<=.f64 x 1261007895663739/9007199254740992))) (*.f64 x (*.f64 3 y)) (*.f64 y -12/29)) |
(if (<=.f64 x -1261007895663739/9007199254740992) (*.f64 3 (*.f64 y x)) (if (<=.f64 x 1261007895663739/9007199254740992) (*.f64 -12/29 y) (*.f64 3 (*.f64 y x)))) |
(if (or (<=.f64 x -1261007895663739/9007199254740992) (not (<=.f64 x 1261007895663739/9007199254740992))) (*.f64 3 (*.f64 x y)) (*.f64 y -12/29)) |
(*.f64 -12/29 y) |
(*.f64 y -12/29) |
Compiled 61 to 46 computations (24.6% saved)
| 2× | egg-herbie |
| 1822× | unswap-sqr |
| 1296× | associate-/r/ |
| 732× | associate-/l* |
| 618× | associate-*r* |
| 490× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 19 |
| 1 | 20 | 19 |
| 2 | 34 | 15 |
| 3 | 62 | 15 |
| 4 | 82 | 15 |
| 5 | 88 | 15 |
| 0 | 483 | 7161 |
| 1 | 1255 | 6343 |
| 2 | 4864 | 6337 |
| 1× | node limit |
| 1× | saturated |
Compiled 67 to 49 computations (26.9% saved)
Compiled 53 to 38 computations (28.3% saved)
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